1 vertical piles design 02-13 revb
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B 07.05.12 ACCORDING TO COMMENTS FROM CS-101 / 27-04-2012 P.G. S.I. 07.05.12
A 18.04.12 ACCORDING TO COMMENTS FROM CS-091 / 10-04-2012 P.G. S.I. 18.04.12
REV DATE DESCRIPTION DRAWN CHECKED DATE
CLIENT
P.O.BOX 173 ABU DHABI TEL. (+971) 2 6414000 Fax (+971) 2 6426333
CONSULTANT P.O.Box 47094, Abu DhabiUnited Arab EmiratesTel: (+971) 2 4457470Fax: (+971) 2 4457490
CONTRACTOR
ELECTROMONTAJ S.A.Candiano Popescu no. 1, 040581, Bucharest, ROMANIA
PROJECT
Contract No. N-11304
220kV OHL QUSAHWIRA - ADCO
TITLE
VERTICAL PILED FOUNDATIONS DESIGN
Tower Nos. 2 to 13
DRAWN CHECKED Q.C. APPROVED DATE SCALE SHEET NOP.G. S.I. S.D. D. M. 26.03.2012 Not Scaled 1 / 270
DRAWING No.
1 1 3 0 4 V E 7 6 6 6 J 0 0 1 B
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TRANSCO Electromontaj S.A.
Abu Dhabi Transmission & Despatch Company Bucharest
220kV OHL Qusahwira - ADCO Romania
Contract No.: N-11304
Vertical Piled Foundations Design
Tower Nos. 2 to 13
Contents
Page
1.
Foundation Design Procedure ..................................................................................................................... 3
2. Ultimate Foundation Loadings for Vertical Piles for S+Str+ATtr .............................................................. 7
3. Summary of Vertical Piles ......................................................................................................................... 12
4.
Geotechnical Soil Parameters .................................................................................................................... 13
5.
Design Soil Data Values Based on Geotechnical Soil Investigation .......................................................... 17
6.
Chemical Soil Results ................................................................................................................................ 18
7.
Piled Foundation for Tower Type ATtr±0 (KEC Design) at location 2 .................................................... 20
8.
Piled Foundation for Tower Type So+6 at location 3 ................................................................................ 36
9. Piled Foundation for Tower Type Str±0 (Larsen&Tubro Design) at location 4 ........................................ 54
10. Piled Foundation for Tower Type So+3 at location 5 ................................................................................ 72
11. Piled Foundation for Tower Type So+6 at location 6 ................................................................................ 90
12.
Piled Foundation for Tower Type So+3 at location 7 ............................................................................... 108
13.
Piled Foundation for Tower Type So+3 at location 8 ............................................................................... 126
14.
Piled Foundation for Tower Type So+6 at location 9 ............................................................................... 144
15. Piled Foundation for Tower Type So+6 at location 10 ............................................................................. 162
16. Piled Foundation for Tower Type So+6 at location 11 ............................................................................. 180
17. Piled Foundation for Tower Type So+6 at location 12 ............................................................................. 198
18. Piled Foundation for Tower Type Str±0 (Larsen&Tubro Design) at location 13 ..................................... 216
19.
References
19.1.
Tomlinson - Pile Design Construction Practice ......................................................................... 235
19.2.
Braja M Das - Principles of Foundation Engineering ................................................................ 240
19.3. Prokon - User Manual ................................................................................................................ 244
19.4. British Standard 8110 ................................................................................................................. 261
19.5. Bowles - Foundation Analysis and Design ................................................................................ 264
19.6.
Woodward - Drilled Pier Foundations ....................................................................................... 267
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FOUNDATION DESIGN PROCEDURE
1. Notations
Ultimate loadings [kN]:
R zuc, R xuc, R yuc = vertical forces incompression
R zuu, R xuu, R yuu = vertical forces in uplift
E p = concrete modulus of elasticity [kN/m2]
nh = modulus of subgrade reaction [kN/m3]
cd,w = concrete density dry/wet [kN/m3]
Cc = concrete cover [cm]
d1 = diameter of shear reinforcement [mm]d2 = diameter of main reinforcement [mm]
f y = yield point of the reinforcement
[kN/mm2]
Lf = total frictional length [m]
L0 = length not considered in friction [m]
Lsd,w = frictional length in dry/wet sand [m]
Lr = embedded length in rock [m]
H p = platform height [m]
h1 = height of pile above platform level [m]
sd,w = average sand soil density dry/wet [kN/m3]
= angle of friction [°]
b = angle of friction at base [°]
Nq = bearing capacity factor [-]
K s = coefficient of earth pressure [-]
quc = min. unconfined compressive strength in rock [N/mm2]
tm = skin resistance in rock [N/mm2]
K SF = additional safety factor for uplift [-]
2. Dimensions and Quantities
Considered length of the pile in friction:LHL 00f
Sectional area of the pile:
d4
πA
2 b
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Lateral area considered for friction:
in sand LLdπA swsdls
in rock
LdπA r lr total lateral area considered in friction
AAA lr lsl Volume of pile:
3
hAhhAV
7 b71 b1
L-HAV sw bhd
LAV sw bhw
VVV hwhdh
VVV h1f Weight of pile:
γVγVγVWcwhwcdhdcd1f
3. Friction resistance of the Pile
M. J. Tomlinson, "Pile Design & Construction Practice", eq. 4.8 (ref. 1)
Braja M. Das, "Principles of Foundation Engineering", pages 454, 455 (ref. 2)
Friction of the Pile in Sand: AtanLγLγK 0.5Q lsswswsdsdsfs
Friction of the Pile in Rock:
q0.1t ucm
AtQ lr mfr
Total Lateral Friction of the Pile:
QQQ fr fsf
4. Compression Capacity of the Pile
Braja M. Das, "Principles of Foundation Engineering", pages 451, 454 (ref. 2)
Base resistance to compression:
etan1tan N btanη'2
2
q b2
b
ALγ NQ bf bqcb
Compression capacity:
R WQQQ zucf f cbc
5. Uplift Capacity of the Pile
Uplift capacity:
R K WQQ zuuSFf f u
Inverted Cone-Frustum Angle Method
inverted cone volume:
tan30H2dD
H4
dπDdDd
12
HπV
222
ic
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uplift capacity of the inverted cone:
R K WγVQ zuuSFf cicuic
6. Lateral Loading on Pile
M. J. Tomlinson, "Pile Design & Construction Practice", eq. 6.52 – 6.56 (ref. 1)
64
dπ
I
4
p
5
h
p p
n
IET
T
HZmax
Horizontal forces and moments on pile at ground level:
R R Q 2yuc
2xucgc
T/75R R 0.075hQM zuczuc1gcgc
R R Q 2yuu
2xuugu
T/75R R 0.075hQM zuuzuu1gugu
Bending moment:
MBTQAM ugc,mugc,miuc,
Deflection:
IE
TMBTQAy
p p
2ugc,y
3ugc,y
iuc,
Shear:
T
MBQAv
ugc,v
ugc,viuc,
7. Longitudinal Reinforcement
Longitudinal reinforcement is computed with PROKON "Circular Column Design"
software (ref. 3).
8. Shear Reinforcement
BS 8110, §3.4.5.6, Tables 3.7 and 3.8 (ref. 4)
2
ddCc 2
1c
cdd1
A b bv
d b
AK
1v
stv
100
d b
V
1v
uc,maxv
0.4v0.5 vv cc
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f 0.95
b0.4
s
A
y
v
v
svrq
(not required for v < 0.5×vc)
AA svrqsv
9. References
[1] – M. J. Tomlinson, "Pile Design & Construction Practice"[2] – Braja M. Das, "Principles of Foundation Engineering"
[3] – PROKON "Circular Column Design" Documentation
[4] – BS 8110
[5] – Joseph E. Bowles, "Foundation Analysis and Design"
[6] – Richard J. Woodward, "Drilled Pier Foundations"
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Abu Dhabi Water and Electricity Authority Electromontaj S.A. - Romania
220kV OHL ASAB / HAMEEM Foundation Loadings-Ultimate
Contract No. N4778 – V.O. 1 Design Sheet No. 4778 VE 7666 J 009-
Page 4 of 13
1. Foundation Loadings-Ultimate for Tower Type S [daN]
Sf = Factor of Safety Included
So-6m: Basic Tower S Plus (-3)m Height Extension Legs BATTERED LEG VERTICAL LEG
HORIZONTAL SHEAR
Node Case Fx Fy Fz1 Rx Ry Rz Sf
120 6 U -4497 1526 -93047 -14318 -10948 -91682 1.5 Max Fx, Rx 118 12 C -4606 1044 106740 -15872 -13267 105175 1.5 Max Fx, Rx
120 10 U 1706 -3698 -95664 -8391 -16523 -94261 1.5 Max Fy, Ry
118 4 C 1565 -3994 110912 -10141 -18863 109286 1.5 Max Fy, Ry
120 16 U -711 -1299 -99996 -11265 -14705 -98529 1.5 Max Fz1, Rz
118 2 C -2508 -1907 120884 -15267 -18114 119111 2.5 Max Fz1, Rz
120 2 U -2297 -1237 -95748 -12402 -14074 -94344 2.5 Max Rxy
118 2 C -2508 -1907 120884 -15267 -18114 119111 2.5 Max Rxy
So-3m: Basic Tower S Plus (-3)m Height Extension LegsNode Case Fx Fy Fz1 Rx Ry Rz Sf
128 6 U -4206 1320 -94974 -14229 -11413 -93582 1.5 Max Fx, Rx
126 12 C -4345 1034 110012 -15955 -13715 108399 1.5 Max Fx, Rx
128 10 U 1499 -3350 -96670 -8704 -16311 -95253 1.5 Max Fy, Ry
126 2 C -2395 -2058 125319 -15621 -18859 123481 2.5 Max Fy, Ry
128 16 U -729 -1137 -100959 -11385 -14672 -99479 1.5 Max Fz1, Rz
126 2 C -2395 -2058 125319 -15621 -18859 123481 2.5 Max Fz1, Rz
128 2 U -2164 -1743 -98060 -12513 -14890 -96622 2.5 Max Rxy
126 2 C -2395 -2058 125319 -15621 -18859 123481 2.5 Max Rxy
So: Basic Tower S Plus 0m Height Extension Legs Node Case Fx Fy Fz1 Rx Ry Rz Sf
128 6 U -3907 1197 -97018 -14146 -11810 -95596 1.5 Max Fx, Rx
126 2 C -2356 -2012 128914 -15962 -19295 127024 2.5 Max Fx, Rx
128 10 U 1146 -3328 -98606 -9261 -16548 -97160 1.5 Max Fy, Ry
126 2 C -2356 -2012 128914 -15962 -19295 127024 2.5 Max Fy, Ry
128 16 U -805 -1178 -102535 -11626 -14925 -101031 1.5 Max Fz1, Rz
126 2 C -2356 -2012 128914 -15962 -19295 127024 2.5 Max Fz1, Rz
128 2 U -2214 -1824 -101285 -12904 -15403 -99800 2.5 Max Rxy
126 2 C -2356 -2012 128914 -15962 -19295 127024 2.5 Max Rxy
So+3m: Basic Tower S Plus 3m Height Extension LegsNode Case Fx Fy Fz1 Rx Ry Rz Sf
128 6 U -3726 1062 -99104 -14185 -12224 -97650 1.5 Max Fx, Rx
126 2 C -2469 -2056 132967 -16502 -19882 131017 2.5 Max Fx, Rx
128 10 U 826 -3275 -100905 -9824 -16803 -99425 1.5 Max Fy, Ry
126 2 C -2469 -2056 132967 -16502 -19882 131017 2.5 Max Fy, Ry
128 2 U -2340 -1890 -104876 -13409 -15951 -103338 2.5 Max Fz1, Rz
126 2 C -2469 -2056 132967 -16502 -19882 131017 2.5 Max Fz1, Rz
128 2 U -2340 -1890 -104876 -13409 -15951 -103338 2.5 Max Rxy
126 2 C -2469 -2056 132967 -16502 -19882 131017 2.5 Max Rxy
So+6m: Basic Tower S Plus 6m Height Extension LegsNode Case Fx Fy Fz1 Rx Ry Rz Sf
128 6 U -3508 921 -101011 -14168 -12621 -99530 1.5 Max Fx, Rx
126 2 C -2440 -2115 136836 -16882 -20460 134829 2.5 Max Fx, Rx
128 10 U 658 -3200 -103026 -10215 -17012 -101515 1.5 Max Fy, Ry
126 2 C -2440 -2115 136836 -16882 -20460 134829 2.5 Max Fy, Ry
128 2 U -2303 -1944 -108186 -13722 -16448 -106600 2.5 Max Fz1, Rz
126 2 C -2440 -2115 136836 -16882 -20460 134829 2.5 Max Fz1, Rz
128 2 U -2303 -1944 -108186 -13722 -16448 -106600 2.5 Max Rxy
126 2 C -2440 -2115 136836 -16882 -20460 134829 2.5 Max Rxy
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S U M M A R Y F O R V E R T I C A L P I L E S
T o
w e r
L
o c .
T o w e r T y p e
P i l e
D i a .
P i l e H e a d
E x t e n s i o n a b o v e
P l a t f o r m L e v e
l
P l a t f o r m
F i l l
P i l e L e n g t h
f r o m G r o u n d
L e v e l
T o t a l
C o n c r e t e d
L e n
g t h
M a i n
R e i n f o r c e m e n t
D e s i g n A
c t u a l
D e s i g n
A c t u a l
D e s i g n
A c t u a l
d
h 1
H p
H 0
H
t
[ m ]
[ m ]
[ m ]
[ m ]
[ ° ]
[ ° ]
[ m m ]
[ m ]
[ m ]
[ m ]
[ m
]
2
A T t r + 0
5 0 0 *
2
7 4 . 7
6 0 0 *
2 9 3 . 3
0 ° - 3 0 ° *
2 8 ° 2 7 ' 1 9 " 1 0 0 0
0 . 7 5
0 . 5 0
1 2 . 2 5
1 3 . 5 0
3 2 ø 2 5
3
S o + 6
5 0 0
4 3 7
6 0 0
4 8 2 . 6
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 3 . 5 0
1 4 . 7 5
1 7 ø 2 5
4
S t r + 0
5 0 0
4 4 5
6 0 0
4 2 2 . 9
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 3 . 2 5
1 4 . 5 0
1 7 ø 2 5
5
S o + 3
5 0 0
4 4 8
6 0 0
4 2 3 . 6
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 4 . 2 5
1 5 . 5 0
1 7 ø 2 5
6
S o + 6
5 0 0
4 4 9
6 0 0
4 5 5 . 0
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 5 . 5 0
1 6 . 7 5
1 8 ø 2 5
7
S o + 3
5 0 0
4 6 0
6 0 0
4 9 9 . 4
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 4 . 2 5
1 5 . 5 0
1 7 ø 2 5
8
S o + 3
5 0 0
4 6 2
6 0 0
4 4 4 . 5
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 4 . 0 0
1 5 . 2 5
1 7 ø 2 5
9
S o + 6
5 0 0
4
2 1 . 5
6 0 0
4 2 1 . 1
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 4 . 5 0
1 5 . 7 5
1 8 ø 2 5
1 0
S o + 6
5 0 0
4 2 3
6 0 0
4 1 3 . 8
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 2 . 2 5
1 3 . 5 0
1 7 ø 2 5
1 1
S o + 6
5 0 0
4 6 1
6 0 0
4 5 7 . 8
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 2 . 7 5
1 4 . 0 0
1 7 ø 2 5
1 2
S o + 6
5 0 0
4
5 1 . 5
6 0 0
4 8 7 . 8
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 4 . 0 0
1 5 . 2 5
1 7 ø 2 5
1 3
S t r + 0
5 0 0
4
1 4 . 5
6 0 0
3 8 3 . 8
2 °
-
8 0 0
0 . 7 5
0 . 5 0
1 3 . 2 5
1 4 . 5 0
1 6 ø 2 5
S h e a r r e i n f o r c e m e n t f o r t o w e r t y p e s ' S ' f o r t o p 2 . 0 m i s 1 0 m m @ 1
5 0 m m c / c & b e l o w 2 . 0 m i s 1 0 m m @ 2
0 0 m m
c / c .
S h e a r r e i n f o r c e m e n t f o r t o w e r t y p e s ' A T
' f o r t o p 2 . 0 m i s 1 0 m m @ 1
2 5 m m c / c & b e l o w 2 . 0 m i s 1 0 m m @ 1
5 0 m
m c / c .
T o w e r T y p e S t r m e a n s T o w e r T y p e S ( L a r s e n & T u b r o D e s i g n )
T o w e r T y p e A T t r m e a n s T o w e r T y p e A T ( K E C D e s i g n )
* D e s i g n W e i g h t S p a n f o r t o w e r t y p e A T
( K E C D e s i g n ) i s n o t k n o w n b y u s .
W e s u p p o s e d t o b e a c c o r d i n g t o T R A N S C O S p e c i f i c a t i o n s .
W i n d S p a n
W e i g h t S p a n
L i n e A n g
l e D e v i a t i o n
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Design Soil Data Values
Based on Geotechnical Soil Investigation
Loc. No.SPT
Average
[°]
[kN/m3]
nh
[MN/m3]
L0
[m]
2 27 32.0 17.0 13.0 3.0
3 32 32.0 18.0 16.0 4.0
4 23 30.0 18.0 11.0 5.0
5 23 30.0 18.0 12.5 5.0
6 24 30.0 18.0 8.0 7.0
7 44 34.0 18.0 16.0 6.0
8 26 32.0 18.0 12.0 5.0
9 24 30.0 18.0 10.0 5.0
10 29 32.0 19.0 18.5 2.0
11 22 30.0 18.0 14.0 2.0
12 30 32.0 18.0 11.5 5.013 32 32.0 18.0 15.5 5.0
= Angle of Friction [°]
= Unit Weight [kN/m3]
nh = Coefficient of sub-grade modulus variation [MN/m3]
L0 = Length of pile from natural ground not considered for friction [m]
NOTE:
Value of is taken according to TRANSCO's Specification
S-TR-CIVIL-OHL (Rev.0-2010), clause 2.5.1,based on average value of SPT.
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Piled Foundation
for Tower Type ATtr±0 (KEC Design) at location 2
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1701 kN Rzuu = 1135 kNRxuc = 453 kN Rxuu = 453 kNRyuc = 435 kN Ryuu = 435 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 17. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 32. 0°Ep = 27000000 kN/ m2 nh = 13000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 100 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 12. 75 m H0 = 12. 25 m Lf = 9. 25 m Lsd = 12. 25 m Lsw = 0. 00 m Ab = 0. 785 m2
Al s = 29. 060 m2 V1 = 0. 563 m3 Vh = 10. 014 m3 Vf = 10. 577 m3 Wf = 254 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 3. 0 m Qf s = 1172 kN Qf r = 0 kN
Qf = 1172 kN
5. Compression Capacity of the Pile
Nq = 32. 1
B = 18. 00 kN/ m3 Qcb = 5567 kNQc = 6486 kN > Rzuc = 1701 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1426 kN > K SF*Rzuu = 1. 20x1135 kN = 1362 kN - - OK
7. Lateral Loading
T = 2. 522 m Zmax = 505. 63Qgc = 628 kN Qgu = 628 kNAddi t i onal moment on t op of pi l e :Maddc = 185 kNm Maddu = 123 kNm
Mgc = 655. 8 kNm Mgu = 594. 3 kNm
7. 1. Compress i on Case
nh = 13000 kN/ m3 Qg = 628. 040 kN Mg = 655. 795 kNm Lf = 12. 75 m Ep = 27000000 kN/ m2 I p = 0. 049087 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 02364 0. 00702 655. 79 628. 0 0. 000. 42 0. 02074 0. 00672 911. 66 578. 6 114. 580. 85 0. 01794 0. 00637 1148. 49 506. 6 198. 261. 27 0. 01525 0. 00597 1366. 31 412. 1 252. 741. 70 0. 01283 0. 00548 1517. 41 295. 3 283. 572. 13 0. 01057 0. 00497 1632. 00 177. 4 291. 972. 55 0. 00846 0. 00444 1710. 07 58. 5 280. 512. 97 0. 00671 0. 00389 1712. 62 - 46. 8 259. 333. 40 0. 00511 0. 00336 1684. 97 - 141. 5 226. 033. 82 0. 00369 0. 00283 1627. 12 - 225. 6 183. 364. 25 0. 00259 0. 00235 1519. 14 - 282. 3 143. 344. 67 0. 00164 0. 00190 1396. 81 - 326. 3 99. 78
5. 10 0. 00083 0. 00148 1260. 14 - 357. 4 55. 005. 52 0. 00028 0. 00113 1108. 30 - 354. 7 20. 235. 95 - 0. 00017 0. 00082 955. 70 - 351. 8 - 12. 876. 37 - 0. 00051 0. 00054 802. 36 - 348. 9 - 42. 646. 80 - 0. 00064 0. 00037 669. 79 - 317. 6 - 56. 637. 22 - 0. 00077 0. 00019 537. 21 - 286. 4 - 72. 02
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7. 65 - 0. 00089 0. 00002 404. 63 - 255. 2 - 88. 798. 07 - 0. 00086 - 0. 00006 316. 70 - 216. 6 - 89. 838. 50 - 0. 00082 - 0. 00013 228. 77 - 178. 1 - 90. 458. 92 - 0. 00078 - 0. 00021 140. 84 - 139. 5 - 90. 669. 35 - 0. 00068 - 0. 00023 99. 33 - 106. 7 - 82. 909. 78 - 0. 00058 - 0. 00024 57. 82 - 73. 9 - 74. 03
10. 20 - 0. 00048 - 0. 00026 16. 32 - 41. 0 - 64. 0710. 63 - 0. 00037 - 0. 00026 9. 22 - 25. 5 - 51. 4911. 05 - 0. 00026 - 0. 00026 2. 12 - 10. 0 - 37. 6911. 48 - 0. 00015 - 0. 00026 - 4. 97 5. 6 - 22. 67
11. 90 - 0. 00004 - 0. 00025 - 3. 32 3. 7 - 6. 9112. 33 0. 00006 - 0. 00025 - 1. 66 1. 9 10. 0212. 75 0. 00017 - 0. 00025 0. 00 0. 0 28. 15
M max = 1712. 620 kNm V max = 628. 040 kN
Maxi mummoment on t op of pi l e : Mcmax = 1713 kNm Upl i f t Casenh = 13000 kN/ m3 Qg = 628. 040 kN Mg = 594. 315 kNm
Lf = 12. 75 m Ep = 27000000 kN/ m2 I p = 0. 049087 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 02316 0. 00682 594. 32 628. 0 0. 000. 42 0. 02034 0. 00654 850. 34 579. 6 112. 370. 85 0. 01762 0. 00621 1087. 69 508. 9 194. 661. 27 0. 01499 0. 00583 1306. 36 416. 0 248. 47
1. 70 0. 01263 0. 00536 1459. 44 301. 0 279. 102. 13 0. 01042 0. 00487 1576. 54 184. 8 287. 772. 55 0. 00835 0. 00435 1657. 69 67. 5 276. 952. 97 0. 00663 0. 00382 1664. 26 - 36. 7 256. 473. 40 0. 00507 0. 00330 1640. 93 - 130. 6 224. 063. 82 0. 00367 0. 00279 1587. 71 - 214. 1 182. 394. 25 0. 00259 0. 00232 1484. 61 - 270. 8 143. 184. 67 0. 00165 0. 00188 1367. 12 - 314. 9 100. 435. 10 0. 00085 0. 00147 1235. 24 - 346. 5 56. 415. 52 0. 00031 0. 00112 1087. 54 - 344. 7 22. 135. 95 - 0. 00014 0. 00082 939. 10 - 342. 8 - 10. 556. 37 - 0. 00048 0. 00054 789. 94 - 340. 8 - 40. 006. 80 - 0. 00061 0. 00037 660. 20 - 310. 7 - 53. 957. 22 - 0. 00074 0. 00020 530. 45 - 280. 6 - 69. 307. 65 - 0. 00087 0. 00002 400. 70 - 250. 5 - 86. 068. 07 - 0. 00083 - 0. 00005 314. 18 - 213. 0 - 87. 29
8. 50 - 0. 00080 - 0. 00013 227. 66 - 175. 4 - 88. 138. 92 - 0. 00076 - 0. 00020 141. 14 - 137. 9 - 88. 619. 35 - 0. 00067 - 0. 00022 99. 96 - 105. 8 - 81. 139. 78 - 0. 00057 - 0. 00024 58. 79 - 73. 6 - 72. 58
10. 20 - 0. 00047 - 0. 00025 17. 61 - 41. 5 - 62. 9710. 63 - 0. 00037 - 0. 00025 10. 29 - 26. 1 - 50. 7311. 05 - 0. 00026 - 0. 00025 2. 96 - 10. 6 - 37. 2911. 48 - 0. 00015 - 0. 00025 - 4. 36 4. 8 - 22. 6711. 90 - 0. 00005 - 0. 00025 - 2. 91 3. 2 - 7. 2912. 33 0. 00006 - 0. 00025 - 1. 45 1. 6 9. 2412. 75 0. 00016 - 0. 00025 0. 00 0. 0 26. 93
M max = 1664. 256 kNm V max = 628. 040 kN
Maxi mummoment on t op of pi l e : Mumax = 1664 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 32ø25 Astef = 157. 08 cm2 > Ast = 155. 98 cm2 - - OK
9. Shear Reinforcement
d1 = 902. 5 mm bv = 886. 2 mm K v = 1. 964
vc = 0. 791 N/ mm2 v' c = 0. 926 N/ mm2 v = 0. 785 N/ mm2 > 0. 5 v' c Asvrq/ sv = 8. 86 cm2/ m
v = 0. 785 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 15. 0 cm Asv = 10. 47 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
-400 -200 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type ATtr±0 (KEC Design) at Location No. 2
7
8
9
10
11
12
13
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
-400 -300 -200 -100 0 100 200 300 400 500 600 700 800
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type ATtr±0 (KEC Design) at Location No. 2
7
8
9
10
11
12
13
D e p t h f r o m G
r
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0
1
2
3
4
5
6
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type ATtr±0 (KEC Design) at Location No. 2
7
8
9
10
11
12
13
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type ATtr±0 (KEC Design) at Location 2
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1701 1713 0 0 0
2 Uplift -1135 1664 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
1000
97.5
12.75
40
460
0 2 5 0
5 0 0
7 5 0
1 0 0 0
1000
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 1000 mm d' = 98 mm Lo = 12.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 1000
2
4
×
= 785.4×103
mm²
=d iax' d ia d' -
= 1000 97.5-
= 902.500 mm
=d iay' d ia d' -
= 1000 97.5-
= 902.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using the following procedure: (1) The column design charts are constructed. (2) The design axis and design ultimate moment is determined . (3) The steel required for the design axial force and moment is read from the relevant design chart. (4) The area steel perpendicular to the design axis is read from the relevant design chart. (5) The procedure is repeated for each load case. (6) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 12.75×
= 12.112 m
=ley ß y Lo.
= .95 12.75×
= 12.112 m
Column slenderness about both axes:
= xlex
d ia
=12.112
1
= 12.112
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= yley
d ia
=12.112
1
= 12.112
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1135×
= -22.7000 kNm
Check if the column is slender: 3.8.1.3
x = 12.1 < 15
y = 12.1 < 15
The column is short.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 1664.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 1664× ×- +
= 998.400 kNm
= M i2 0.4 M 2.
= 0.4 1664×
= 665.600 kNm
Mi 0.4M2 = 1664.0 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Design ultimate load and moment:
Design axial load: Pu = -1135.0 kN
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 1664.0 kNm Near mid-height, Mx = 998.4 kNm At the bottom, Mx = 0.0 kNm
Mxtop=1664.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=1664.0 kNm
Mxmin=-22.7 kNm
+ =
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-22.7 kNm
+ =
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment about
the major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x =
6 2 6 8 k N m @ 6 4 6 9 k N
-20E3-18E3-16E3-14E3-12E3-10E3-8000-6000-4000-2000
200040006000800010E312E314E3
16E318E320E322E324E326E328E330E332E334E336E3
5 0 0 1 0 0 0
1 5 0 0
2 0 0 0
2 5 0 0
3 0 0 0
3 5 0 0
4 0 0 0
4 5 0 0
5 0 0 0
5 5 0 0
6 0 0 0
6 5 0 0
7 0 0 0
7 5 0 0
A x i a l L o a d ( k N
)
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 15598 = 1.99%
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 6 2 6 8 k N m @ 6 4 6 9
k N
-20E3-18E3-16E3-14E3-12E3-10E3-8000
-6000-4000-2000
200040006000800010E312E314E316E318E320E322E324E326E328E330E332E334E336E3
5 0 0 1 0 0 0
1 5 0 0
2 0 0 0
2 5 0 0
3 0 0 0
3 5 0 0
4 0 0 0
4 5 0 0
5 0 0 0
5 5 0 0
6 0 0 0
6 5 0 0
7 0 0 0
7 5 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 3142
Column design chart
M o m e n t m a x = 6 2 6 8 k N m @ 6 4 6 9 k N
-20E3-18E3-16E3-14E3-12E3-10E3-8000-6000-4000-2000
200040006000800010E312E314E316E318E320E322E324E326E328E330E332E334E336E3
5 0 0 1 0 0 0
1 5 0 0
2 0 0 0
2 5 0 0
3 0 0 0
3 5 0 0
4 0 0 0
4 5 0 0
5 0 0 0
5 5 0 0
6 0 0 0
6 5 0 0
7 0 0 0
7 5 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1701.0
0.00.0
1713.00.0
1713.00.0
0.00.0
X-XTop
1713.00.0 1713.0
8603 (1.10%)
X-XY-Y -1135.0
0.00.0
1664.00.0
1664.00.0
0.00.0
X-XTop
1664.00.0 1664.0
15598 (1.99%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 3
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 33. 0°Ep = 27000000 kN/ m2 nh = 16000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 14. 00 m H0 = 13. 50 m Lf = 9. 50 m Lsd = 13. 50 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 23. 876 m2 V1 = 0. 360 m3 Vh = 7. 037 m3 Vf = 7. 397 m3 Wf = 178 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 4. 0 m Qf s = 1124 kN Qf r = 0 kN
Qf = 1124 kN
5. Compression Capacity of the Pile
Nq = 36. 7
B = 19. 00 kN/ m3 Qcb = 4726 kNQc = 5673 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1301 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 2. 024 m Zmax = 691. 85Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 123 kNm Maddu = 107 kNm
Mgc = 293. 1 kNm Mgu = 254. 1 kNm
7. 1. Compress i on Case
nh = 16000 kN/ m3 Qg = 226. 460 kN Mg = 293. 139 kNm Lf = 14. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01202 0. 00463 293. 14 226. 5 0. 000. 47 0. 01049 0. 00440 366. 90 206. 7 78. 330. 93 0. 00902 0. 00414 434. 57 178. 0 134. 751. 40 0. 00762 0. 00385 496. 15 140. 5 170. 651. 87 0. 00637 0. 00351 536. 57 94. 6 190. 302. 33 0. 00521 0. 00316 565. 48 48. 5 194. 512. 80 0. 00413 0. 00281 582. 91 2. 3 185. 183. 27 0. 00325 0. 00245 576. 89 - 38. 1 169. 633. 73 0. 00244 0. 00210 561. 62 - 74. 0 145. 984. 20 0. 00173 0. 00175 537. 09 - 105. 6 116. 194. 67 0. 00119 0. 00145 497. 64 - 126. 1 88. 715. 13 0. 00072 0. 00116 454. 12 - 141. 4 59. 04
5. 60 0. 00032 0. 00089 406. 50 - 151. 7 28. 786. 07 0. 00006 0. 00067 355. 61 - 148. 8 5. 626. 53 - 0. 00016 0. 00048 304. 46 - 145. 8 - 16. 237. 00 - 0. 00032 0. 00031 253. 06 - 142. 8 - 35. 657. 47 - 0. 00037 0. 00020 209. 94 - 129. 1 - 44. 417. 93 - 0. 00043 0. 00009 166. 82 - 115. 4 - 53. 98
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8. 40 - 0. 00048 - 0. 00001 123. 70 - 101. 7 - 64. 348. 87 - 0. 00045 - 0. 00006 95. 88 - 85. 7 - 64. 309. 33 - 0. 00043 - 0. 00010 68. 06 - 69. 7 - 63. 889. 80 - 0. 00040 - 0. 00014 40. 24 - 53. 8 - 63. 08
10. 27 - 0. 00035 - 0. 00015 27. 67 - 40. 4 - 57. 2910. 73 - 0. 00030 - 0. 00016 15. 11 - 27. 1 - 50. 6911. 20 - 0. 00024 - 0. 00017 2. 55 - 13. 7 - 43. 3011. 67 - 0. 00018 - 0. 00017 0. 88 - 7. 9 - 34. 3712. 13 - 0. 00013 - 0. 00017 - 0. 80 - 2. 2 - 24. 5812. 60 - 0. 00007 - 0. 00017 - 2. 47 3. 6 - 13. 94
13. 07 - 0. 00001 - 0. 00016 - 1. 65 2. 4 - 2. 8913. 53 0. 00004 - 0. 00016 - 0. 82 1. 2 8. 9814. 00 0. 00010 - 0. 00016 0. 00 0. 0 21. 67
M max = 582. 905 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 583 kNm Upl i f t Casenh = 16000 kN/ m3 Qg = 196. 637 kN Mg = 254. 149 kNm
Lf = 14. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01043 0. 00402 254. 15 196. 6 0. 000. 47 0. 00911 0. 00382 318. 20 179. 5 67. 990. 93 0. 00783 0. 00359 376. 96 154. 6 116. 961. 40 0. 00661 0. 00334 430. 43 122. 0 148. 12
1. 87 0. 00553 0. 00305 465. 54 82. 2 165. 182. 33 0. 00452 0. 00275 490. 67 42. 2 168. 842. 80 0. 00359 0. 00244 505. 81 2. 0 160. 753. 27 0. 00282 0. 00212 500. 61 - 33. 0 147. 253. 73 0. 00212 0. 00182 487. 38 - 64. 2 126. 734. 20 0. 00150 0. 00152 466. 11 - 91. 6 100. 884. 67 0. 00103 0. 00126 431. 89 - 109. 4 77. 035. 13 0. 00062 0. 00101 394. 13 - 122. 7 51. 285. 60 0. 00028 0. 00077 352. 81 - 131. 6 25. 016. 07 0. 00005 0. 00058 308. 64 - 129. 1 4. 916. 53 - 0. 00013 0. 00042 264. 26 - 126. 5 - 14. 067. 00 - 0. 00028 0. 00027 219. 65 - 123. 9 - 30. 927. 47 - 0. 00032 0. 00017 182. 23 - 112. 0 - 38. 537. 93 - 0. 00037 0. 00008 144. 81 - 100. 1 - 46. 838. 40 - 0. 00042 - 0. 00001 107. 39 - 88. 2 - 55. 838. 87 - 0. 00039 - 0. 00005 83. 24 - 74. 4 - 55. 80
9. 33 - 0. 00037 - 0. 00009 59. 09 - 60. 5 - 55. 439. 80 - 0. 00035 - 0. 00013 34. 94 - 46. 7 - 54. 7410. 27 - 0. 00030 - 0. 00013 24. 03 - 35. 1 - 49. 7210. 73 - 0. 00026 - 0. 00014 13. 13 - 23. 5 - 44. 0011. 20 - 0. 00021 - 0. 00015 2. 22 - 11. 9 - 37. 5911. 67 - 0. 00016 - 0. 00015 0. 77 - 6. 9 - 29. 8412. 13 - 0. 00011 - 0. 00014 - 0. 69 - 1. 9 - 21. 3412. 60 - 0. 00006 - 0. 00014 - 2. 14 3. 1 - 12. 1013. 07 - 0. 00001 - 0. 00014 - 1. 43 2. 1 - 2. 5213. 53 0. 00004 - 0. 00014 - 0. 71 1. 0 7. 7814. 00 0. 00008 - 0. 00014 0. 00 0. 0 18. 80
M max = 505. 812 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 506 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 76. 26 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 3
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 3
8
9
10
11
12
13
14
15
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 3
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 3
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 583 0 0 0
2 Uplift -1046 506 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
14.00
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 14.000 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 14×
= 13.300 m
=ley ß y Lo.
= .95 14×
= 13.300 m
Column slenderness about both axes:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=13.3
.8
= 16.625
= yley
d ia
=13.3
.8
= 16.625
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 16.6 > 15
y = 16.6 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 14.000 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 506.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 506× ×- +
= 303.600 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 506×
= 202.400 kNm
Mi 0.4M2 = 303.6 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00763× × × ×+
= 12.26×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 506.0 kNm
(b) 3.8.3.2
= M M i M add +
= 303.6 0+
= 303.600 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 506.0 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 506.0 kNm Near mid-height, Mx = 303.6 kNm At the bottom, Mx = 0.0 kNm
Mxtop=506.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=506.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7626 = 1.52%
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
583.00.0
349.80.0
133.7133.7
X-XTop
583.066.8 586.8
2286 (0.45%)
X-XY-Y -1046.0
0.00.0
506.00.0
303.60.0
0.00.0
X-XTop
506.00.0 506.0
7626 (1.52%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type Str±0 (Larsen&Tubro Design) at location 4
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1067 kN Rzuu = 924 kNRxuc = 173 kN Rxuu = 154 kNRyuc = 166 kN Ryuu = 148 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 30. 0° b = 30. 0°Ep = 27000000 kN/ m2 nh = 11000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 13. 75 m H0 = 13. 25 m Lf = 9. 25 m Lsd = 13. 25 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 23. 248 m2 V1 = 0. 360 m3 Vh = 6. 912 m3 Vf = 7. 272 m3 Wf = 175 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 4. 0 m Qf s = 992 kN Qf r = 0 kN
Qf = 992 kN
5. Compression Capacity of the Pile
Nq = 24. 9
B = 19. 00 kN/ m3 Qcb = 3150 kNQc = 3968 kN > Rzuc = 1067 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1167 kN > K SF*Rzuu = 1. 20x924 kN = 1109 kN - - OK
7. Lateral Loading
T = 2. 181 m Zmax = 630. 44Qgc = 240 kN Qgu = 214 kNAddi t i onal moment on t op of pi l e :Maddc = 111 kNm Maddu = 96 kNm
Mgc = 290. 9 kNm Mgu = 256. 4 kNm
7. 1. Compress i on Case
nh = 11000 kN/ m3 Qg = 239. 760 kN Mg = 290. 874 kNm Lf = 13. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01531 0. 00540 290. 87 239. 8 0. 000. 46 0. 01339 0. 00515 375. 16 219. 6 67. 500. 92 0. 01154 0. 00485 452. 74 190. 3 116. 361. 38 0. 00977 0. 00452 523. 62 151. 9 147. 701. 83 0. 00818 0. 00414 571. 14 104. 8 165. 062. 29 0. 00671 0. 00374 605. 93 57. 4 169. 142. 75 0. 00534 0. 00332 627. 99 9. 8 161. 543. 21 0. 00421 0. 00290 623. 98 - 32. 0 148. 463. 67 0. 00318 0. 00249 609. 62 - 69. 4 128. 354. 13 0. 00227 0. 00209 584. 92 - 102. 3 102. 864. 58 0. 00157 0. 00173 543. 36 - 124. 0 79. 215. 04 0. 00097 0. 00139 497. 13 - 140. 4 53. 61
5. 50 0. 00045 0. 00107 446. 20 - 151. 7 27. 435. 96 0. 00011 0. 00081 391. 06 - 149. 3 7. 296. 42 - 0. 00017 0. 00058 335. 64 - 146. 9 - 11. 776. 87 - 0. 00038 0. 00038 279. 95 - 144. 5 - 28. 797. 33 - 0. 00045 0. 00025 232. 76 - 130. 9 - 36. 587. 79 - 0. 00053 0. 00012 185. 56 - 117. 4 - 45. 10
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8. 25 - 0. 00060 - 0. 00001 138. 37 - 103. 8 - 54. 368. 71 - 0. 00057 - 0. 00006 107. 62 - 87. 8 - 54. 559. 17 - 0. 00054 - 0. 00011 76. 88 - 71. 7 - 54. 449. 63 - 0. 00051 - 0. 00017 46. 13 - 55. 6 - 54. 03
10. 08 - 0. 00044 - 0. 00018 32. 03 - 42. 0 - 49. 1810. 54 - 0. 00038 - 0. 00019 17. 93 - 28. 5 - 43. 6611. 00 - 0. 00031 - 0. 00020 3. 83 - 14. 9 - 37. 4711. 46 - 0. 00024 - 0. 00020 1. 76 - 8. 9 - 29. 8711. 92 - 0. 00016 - 0. 00020 - 0. 31 - 2. 9 - 21. 5412. 38 - 0. 00009 - 0. 00019 - 2. 39 3. 2 - 12. 47
12. 83 - 0. 00002 - 0. 00019 - 1. 59 2. 1 - 3. 0413. 29 0. 00005 - 0. 00019 - 0. 80 1. 1 7. 1013. 75 0. 00012 - 0. 00019 0. 00 0. 0 17. 95
M max = 627. 989 kNm V max = 239. 760 kN
Maxi mummoment on t op of pi l e : Mcmax = 628 kNm Upl i f t Casenh = 11000 kN/ m3 Qg = 213. 588 kN Mg = 256. 361 kNm
Lf = 13. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01360 0. 00479 256. 36 213. 6 0. 000. 46 0. 01189 0. 00457 331. 45 195. 7 59. 970. 92 0. 01025 0. 00431 400. 59 169. 6 103. 391. 38 0. 00868 0. 00402 463. 77 135. 5 131. 26
1. 83 0. 00727 0. 00367 506. 19 93. 6 146. 702. 29 0. 00596 0. 00332 537. 30 51. 5 150. 362. 75 0. 00475 0. 00295 557. 09 9. 2 143. 643. 21 0. 00374 0. 00258 553. 69 - 28. 0 132. 043. 67 0. 00283 0. 00221 541. 10 - 61. 2 114. 194. 13 0. 00202 0. 00186 519. 30 - 90. 5 91. 564. 58 0. 00140 0. 00154 482. 50 - 109. 8 70. 555. 04 0. 00086 0. 00124 441. 53 - 124. 5 47. 815. 50 0. 00041 0. 00096 396. 37 - 134. 6 24. 545. 96 0. 00010 0. 00072 347. 44 - 132. 5 6. 646. 42 - 0. 00015 0. 00052 298. 26 - 130. 4 - 10. 316. 87 - 0. 00034 0. 00034 248. 84 - 128. 3 - 25. 457. 33 - 0. 00040 0. 00022 206. 92 - 116. 3 - 32. 387. 79 - 0. 00047 0. 00011 165. 00 - 104. 3 - 39. 988. 25 - 0. 00053 - 0. 00000 123. 08 - 92. 3 - 48. 228. 71 - 0. 00051 - 0. 00005 95. 76 - 78. 0 - 48. 40
9. 17 - 0. 00048 - 0. 00010 68. 43 - 63. 7 - 48. 329. 63 - 0. 00045 - 0. 00015 41. 11 - 49. 4 - 47. 9810. 08 - 0. 00039 - 0. 00016 28. 56 - 37. 4 - 43. 6810. 54 - 0. 00033 - 0. 00017 16. 01 - 25. 4 - 38. 7911. 00 - 0. 00028 - 0. 00018 3. 47 - 13. 3 - 33. 2911. 46 - 0. 00021 - 0. 00018 1. 61 - 8. 0 - 26. 5511. 92 - 0. 00015 - 0. 00017 - 0. 24 - 2. 6 - 19. 1612. 38 - 0. 00008 - 0. 00017 - 2. 10 2. 8 - 11. 1112. 83 - 0. 00002 - 0. 00017 - 1. 40 1. 9 - 2. 7413. 29 0. 00004 - 0. 00017 - 0. 70 0. 9 6. 2713. 75 0. 00011 - 0. 00017 0. 00 0. 0 15. 90
M max = 557. 086 kNm V max = 213. 588 kN
Maxi mummoment on t op of pi l e : Mumax = 557 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 79. 40 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 481 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 481 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.4
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
-400 -200 0 200 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.4
7
8
9
10
11
12
13
14
D e p t h f r o m G
r
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0
1
2
3
4
5
6
-5 0 5 10 15 20 25
n d
L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.4
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o u
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type Str±0 (Larsen&Tubro Design) at Location 4
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1067 628 0 0 0
2 Uplift -924 557 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
13.75
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 13.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 13.75×
= 13.062 m
=ley ß y Lo.
= .95 13.75×
= 13.062 m
Column slenderness about both axes:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=13.063
.8
= 16.329
= yley
d ia
=13.063
.8
= 16.329
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -924×
= -18.4800 kNm
Check if the column is slender: 3.8.1.3
x = 16.3 > 15
y = 16.3 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 13.750 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 557.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 557× ×- +
= 334.200 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 557×
= 222.800 kNm
Mi 0.4M2 = 334.2 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00794× × × ×+
= 12.40×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -924.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 557.0 kNm
(b) 3.8.3.2
= M M i M add +
= 334.2 0+
= 334.200 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -924×
= -18.4800 kNm
Thus 3.8.3.2
M = 557.0 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 557.0 kNm Near mid-height, Mx = 334.2 kNm At the bottom, Mx = 0.0 kNm
Mxtop=557.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=557.0 kNm
Mxmin=-18.5 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -924×
= -18.4800 kNm
Thus 3.8.3.2
M = 0.0 kNm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-18.5 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7940 = 1.58%
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2109
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1067.0
0.00.0
628.00.0
376.80.0
113.8113.8
X-XTop
628.056.9 630.6
3149 (0.63%)
X-XY-Y -924.0
0.00.0
557.00.0
334.20.0
0.00.0
X-XTop
557.00.0 557.0
7940 (1.58%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+3 at location 5
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1189 kN Rzuu = 1029 kNRxuc = 138 kN Rxuu = 120 kNRyuc = 175 kN Ryuu = 152 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 30. 0° b = 30. 0°Ep = 27000000 kN/ m2 nh = 12500 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 14. 75 m H0 = 14. 25 m Lf = 9. 25 m Lsd = 14. 25 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 23. 248 m2 V1 = 0. 360 m3 Vh = 7. 414 m3 Vf = 7. 774 m3 Wf = 187 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 5. 0 m Qf s = 1067 kN Qf r = 0 kN
Qf = 1067 kN
5. Compression Capacity of the Pile
Nq = 24. 9
B = 18. 00 kN/ m3 Qcb = 3210 kNQc = 4091 kN > Rzuc = 1189 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1254 kN > K SF*Rzuu = 1. 20x1029 kN = 1235 kN - - OK
7. Lateral Loading
T = 2. 126 m Zmax = 693. 80Qgc = 223 kN Qgu = 194 kNAddi t i onal moment on t op of pi l e :Maddc = 123 kNm Maddu = 106 kNm
Mgc = 290. 0 kNm Mgu = 251. 6 kNm
7. 1. Compress i on Case
nh = 12500 kN/ m3 Qg = 222. 865 kN Mg = 290. 028 kNm Lf = 14. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01354 0. 00495 290. 03 222. 9 0. 000. 49 0. 01183 0. 00470 366. 33 203. 6 72. 680. 98 0. 01018 0. 00443 436. 40 175. 7 125. 101. 47 0. 00860 0. 00412 500. 25 139. 2 158. 551. 97 0. 00720 0. 00376 542. 46 94. 5 176. 932. 46 0. 00589 0. 00339 572. 89 49. 6 180. 992. 95 0. 00468 0. 00301 591. 56 4. 5 172. 493. 44 0. 00368 0. 00263 586. 19 - 34. 9 158. 173. 93 0. 00277 0. 00225 571. 32 - 70. 1 136. 334. 42 0. 00197 0. 00189 546. 95 - 101. 0 108. 754. 92 0. 00135 0. 00156 507. 20 - 121. 1 83. 275. 41 0. 00082 0. 00125 463. 22 - 136. 3 55. 73
5. 90 0. 00037 0. 00096 415. 01 - 146. 6 27. 626. 39 0. 00008 0. 00073 363. 26 - 143. 9 6. 066. 88 - 0. 00017 0. 00052 311. 26 - 141. 2 - 14. 297. 37 - 0. 00035 0. 00033 259. 01 - 138. 4 - 32. 417. 87 - 0. 00041 0. 00022 215. 02 - 125. 3 - 40. 628. 36 - 0. 00047 0. 00010 171. 04 - 112. 1 - 49. 59
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8. 85 - 0. 00054 - 0. 00001 127. 06 - 98. 9 - 59. 329. 34 - 0. 00051 - 0. 00006 98. 60 - 83. 4 - 59. 369. 83 - 0. 00048 - 0. 00011 70. 13 - 68. 0 - 59. 05
10. 32 - 0. 00045 - 0. 00015 41. 67 - 52. 5 - 58. 4110. 82 - 0. 00039 - 0. 00016 28. 75 - 39. 6 - 53. 0911. 31 - 0. 00033 - 0. 00017 15. 83 - 26. 6 - 47. 0311. 80 - 0. 00027 - 0. 00018 2. 91 - 13. 6 - 40. 2312. 29 - 0. 00021 - 0. 00018 1. 13 - 8. 0 - 31. 9812. 78 - 0. 00014 - 0. 00018 - 0. 65 - 2. 3 - 22. 9313. 28 - 0. 00008 - 0. 00018 - 2. 43 3. 3 - 13. 09
13. 77 - 0. 00002 - 0. 00018 - 1. 62 2. 2 - 2. 8714. 26 0. 00005 - 0. 00017 - 0. 81 1. 1 8. 1114. 75 0. 00011 - 0. 00017 0. 00 0. 0 19. 86
M max = 591. 560 kNm V max = 222. 865 kN
Maxi mummoment on t op of pi l e : Mcmax = 592 kNm Upl i f t Casenh = 12500 kN/ m3 Qg = 193. 659 kN Mg = 251. 588 kNm
Lf = 14. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01176 0. 00430 251. 59 193. 7 0. 000. 49 0. 01027 0. 00409 317. 89 176. 9 63. 120. 98 0. 00884 0. 00385 378. 78 152. 7 108. 661. 47 0. 00747 0. 00358 434. 27 121. 0 137. 72
1. 97 0. 00625 0. 00327 470. 96 82. 2 153. 682. 46 0. 00512 0. 00295 497. 43 43. 2 157. 222. 95 0. 00406 0. 00262 513. 67 4. 0 149. 843. 44 0. 00319 0. 00228 509. 03 - 30. 3 137. 403. 93 0. 00241 0. 00196 496. 14 - 60. 8 118. 434. 42 0. 00171 0. 00164 474. 99 - 87. 7 94. 484. 92 0. 00118 0. 00135 440. 49 - 105. 2 72. 355. 41 0. 00072 0. 00108 402. 31 - 118. 4 48. 435. 90 0. 00033 0. 00084 360. 45 - 127. 3 24. 026. 39 0. 00007 0. 00063 315. 51 - 125. 0 5. 306. 88 - 0. 00014 0. 00045 270. 35 - 122. 6 - 12. 397. 37 - 0. 00031 0. 00029 224. 98 - 120. 2 - 28. 127. 87 - 0. 00036 0. 00019 186. 78 - 108. 8 - 35. 268. 36 - 0. 00041 0. 00009 148. 58 - 97. 3 - 43. 058. 85 - 0. 00047 - 0. 00001 110. 38 - 85. 9 - 51. 519. 34 - 0. 00044 - 0. 00005 85. 66 - 72. 5 - 51. 54
9. 83 - 0. 00042 - 0. 00009 60. 93 - 59. 0 - 51. 2810. 32 - 0. 00039 - 0. 00013 36. 21 - 45. 6 - 50. 7310. 82 - 0. 00034 - 0. 00014 24. 99 - 34. 4 - 46. 1111. 31 - 0. 00029 - 0. 00015 13. 76 - 23. 1 - 40. 8411. 80 - 0. 00024 - 0. 00016 2. 54 - 11. 8 - 34. 9412. 29 - 0. 00018 - 0. 00016 0. 99 - 6. 9 - 27. 7812. 78 - 0. 00012 - 0. 00015 - 0. 56 - 2. 0 - 19. 9213. 28 - 0. 00007 - 0. 00015 - 2. 10 2. 9 - 11. 3813. 77 - 0. 00001 - 0. 00015 - 1. 40 1. 9 - 2. 5014. 26 0. 00004 - 0. 00015 - 0. 70 1. 0 7. 0414. 75 0. 00009 - 0. 00015 0. 00 0. 0 17. 24
M max = 513. 669 kNm V max = 193. 659 kN
Maxi mummoment on t op of pi l e : Mumax = 514 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 77. 05 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 447 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 447 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type So+3 at Location No. 5
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type So+3 at Location No. 5
8
9
10
11
12
13
14
15
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type So+3 at Location No. 5
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+3 at Location 5
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1189 592 0 0 0
2 Uplift -1029 514 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
14.75
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 14.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 14.75×
= 14.012 m
=ley ß y Lo.
= .95 14.75×
= 14.012 m
Column slenderness about both axes:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=14.012
.8
= 17.515
= yley
d ia
=14.012
.8
= 17.515
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1029×
= -20.5800 kNm
Check if the column is slender: 3.8.1.3
x = 17.5 > 15
y = 17.5 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 14.750 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 514.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 514× ×- +
= 308.400 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 514×
= 205.600 kNm
Mi 0.4M2 = 308.4 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .0077× × × ×+
= 12.30×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1029.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 514.0 kNm
(b) 3.8.3.2
= M M i M add +
= 308.4 0+
= 308.400 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 514.0 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 514.0 kNm Near mid-height, Mx = 308.4 kNm At the bottom, Mx = 0.0 kNm
Mxtop=514.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=514.0 kNm
Mxmin=-20.6 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.6 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7705 = 1.53%
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2349
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1189.0
0.00.0
592.00.0
355.20.0
145.9145.9
X-XTop
592.073.0 596.5
2443 (0.49%)
X-XY-Y -1029.0
0.00.0
514.00.0
308.40.0
0.00.0
X-XTop
514.00.0 514.0
7705 (1.53%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 6
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 30. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 8000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 16. 00 m H0 = 15. 50 m Lf = 8. 50 m Lsd = 15. 50 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 21. 363 m2 V1 = 0. 360 m3 Vh = 8. 042 m3 Vf = 8. 403 m3 Wf = 202 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 7. 0 m Qf s = 1067 kN Qf r = 0 kN
Qf = 1067 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 20. 00 kN/ m3 Qcb = 6531 kNQc = 7396 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1268 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 2. 324 m Zmax = 688. 33Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 128 kNm Maddu = 111 kNm
Mgc = 298. 0 kNm Mgu = 258. 3 kNm
7. 1. Compress i on Case
nh = 8000 kN/ m3 Qg = 226. 460 kN Mg = 297. 990 kNm Lf = 16. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01759 0. 00583 297. 99 226. 5 0. 000. 53 0. 01538 0. 00556 382. 82 207. 3 65. 621. 07 0. 01325 0. 00524 460. 88 179. 5 113. 081. 60 0. 01121 0. 00488 532. 16 143. 1 143. 492. 13 0. 00939 0. 00446 579. 82 98. 5 160. 322. 67 0. 00770 0. 00403 614. 63 53. 6 164. 233. 20 0. 00612 0. 00358 636. 58 8. 4 156. 803. 73 0. 00482 0. 00313 632. 20 - 31. 2 144. 044. 27 0. 00365 0. 00268 617. 38 - 66. 5 124. 464. 80 0. 00260 0. 00225 592. 12 - 97. 7 99. 665. 33 0. 00180 0. 00186 549. 88 - 118. 1 76. 675. 87 0. 00110 0. 00150 502. 93 - 133. 7 51. 79
6. 40 0. 00051 0. 00116 451. 26 - 144. 3 26. 356. 93 0. 00012 0. 00088 395. 40 - 142. 0 6. 807. 47 - 0. 00020 0. 00063 339. 27 - 139. 6 - 11. 718. 00 - 0. 00044 0. 00041 282. 86 - 137. 2 - 28. 218. 53 - 0. 00052 0. 00027 235. 11 - 124. 3 - 35. 769. 07 - 0. 00061 0. 00013 187. 36 - 111. 4 - 44. 01
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9. 60 - 0. 00069 - 0. 00001 139. 62 - 98. 5 - 52. 9710. 13 - 0. 00066 - 0. 00006 108. 55 - 83. 2 - 53. 1310. 67 - 0. 00062 - 0. 00012 77. 48 - 67. 9 - 52. 9911. 20 - 0. 00059 - 0. 00018 46. 41 - 52. 7 - 52. 5611. 73 - 0. 00051 - 0. 00019 32. 19 - 39. 8 - 47. 8312. 27 - 0. 00043 - 0. 00020 17. 97 - 26. 9 - 42. 4412. 80 - 0. 00036 - 0. 00022 3. 74 - 14. 1 - 36. 4013. 33 - 0. 00027 - 0. 00021 1. 68 - 8. 4 - 29. 0013. 87 - 0. 00019 - 0. 00021 - 0. 39 - 2. 6 - 20. 8914. 40 - 0. 00010 - 0. 00021 - 2. 45 3. 1 - 12. 07
14. 93 - 0. 00002 - 0. 00021 - 1. 64 2. 0 - 2. 8915. 47 0. 00006 - 0. 00021 - 0. 82 1. 0 6. 9816. 00 0. 00014 - 0. 00020 - 0. 00 0. 0 17. 54
M max = 636. 577 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 637 kNm Upl i f t Casenh = 8000 kN/ m3 Qg = 196. 637 kN Mg = 258. 346 kNm
Lf = 16. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01527 0. 00506 258. 35 196. 6 0. 000. 53 0. 01335 0. 00482 332. 01 180. 0 56. 951. 07 0. 01150 0. 00455 399. 79 155. 9 98. 151. 60 0. 00973 0. 00423 461. 68 124. 3 124. 55
2. 13 0. 00815 0. 00387 503. 09 85. 5 139. 162. 67 0. 00668 0. 00350 533. 32 46. 6 142. 563. 20 0. 00532 0. 00311 552. 40 7. 4 136. 113. 73 0. 00419 0. 00271 548. 63 - 27. 0 125. 044. 27 0. 00317 0. 00233 535. 79 - 57. 7 108. 054. 80 0. 00225 0. 00195 513. 89 - 84. 7 86. 525. 33 0. 00156 0. 00161 477. 24 - 102. 5 66. 575. 87 0. 00096 0. 00130 436. 50 - 116. 0 44. 986. 40 0. 00045 0. 00100 391. 67 - 125. 2 22. 906. 93 0. 00011 0. 00076 343. 20 - 123. 2 5. 927. 47 - 0. 00017 0. 00054 294. 48 - 121. 2 - 10. 148. 00 - 0. 00038 0. 00035 245. 53 - 119. 1 - 24. 478. 53 - 0. 00045 0. 00023 204. 09 - 107. 9 - 31. 029. 07 - 0. 00053 0. 00011 162. 65 - 96. 7 - 38. 199. 60 - 0. 00060 - 0. 00001 121. 20 - 85. 5 - 45. 97
10. 13 - 0. 00057 - 0. 00006 94. 24 - 72. 2 - 46. 10
10. 67 - 0. 00054 - 0. 00011 67. 27 - 59. 0 - 45. 9911. 20 - 0. 00051 - 0. 00016 40. 30 - 45. 7 - 45. 6211. 73 - 0. 00044 - 0. 00017 27. 95 - 34. 5 - 41. 5112. 27 - 0. 00038 - 0. 00018 15. 61 - 23. 4 - 36. 8412. 80 - 0. 00031 - 0. 00019 3. 26 - 12. 2 - 31. 6013. 33 - 0. 00024 - 0. 00018 1. 46 - 7. 3 - 25. 1813. 87 - 0. 00016 - 0. 00018 - 0. 33 - 2. 3 - 18. 1414. 40 - 0. 00009 - 0. 00018 - 2. 13 2. 7 - 10. 4814. 93 - 0. 00002 - 0. 00018 - 1. 42 1. 8 - 2. 5115. 47 0. 00005 - 0. 00018 - 0. 71 0. 9 6. 0516. 00 0. 00012 - 0. 00018 - 0. 00 0. 0 15. 22
M max = 552. 403 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 552 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 18ø25 Astef = 88. 36 cm2 > Ast = 81. 76 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 774
vc = 0. 765 N/ mm2 v' c = 0. 895 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
8
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 6
9
10
11
12
13
14
15
16
17
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
8
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 6
9
10
11
12
13
14
15
16
17
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
8
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 6
9
10
11
12
13
14
15
16
17
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 6
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 637 0 0 0
2 Uplift -1046 552 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
16.00
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 16.000 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 16×
= 15.200 m
=ley ß y Lo.
= .95 16×
= 15.200 m
Column slenderness about both axes:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=15.2
.8
= 19.000
= yley
d ia
=15.2
.8
= 19.000
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 19.0 > 15
y = 19.0 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 16.000 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 552.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 552× ×- +
= 331.200 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 552×
= 220.800 kNm
Mi 0.4M2 = 331.2 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00818× × × ×+
= 12.51×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 552.0 kNm
(b) 3.8.3.2
= M M i M add +
= 331.2 0+
= 331.200 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 552.0 kNm
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Job Title
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 552.0 kNm Near mid-height, Mx = 331.2 kNm At the bottom, Mx = 0.0 kNm
Mxtop=552.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=552.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 8176 = 1.63%
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
637.00.0
382.20.0
174.6174.6
X-XTop
637.087.3 643.0
2914 (0.58%)
X-XY-Y -1046.0
0.00.0
552.00.0
331.20.0
0.00.0
X-XTop
552.00.0 552.0
8176 (1.63%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+3 at location 7
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1189 kN Rzuu = 1029 kNRxuc = 138 kN Rxuu = 120 kNRyuc = 175 kN Ryuu = 152 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 34. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 16000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 14. 75 m H0 = 14. 25 m Lf = 8. 25 m Lsd = 14. 25 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 20. 735 m2 V1 = 0. 360 m3 Vh = 7. 414 m3 Vf = 7. 774 m3 Wf = 187 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 6. 0 m Qf s = 1112 kN Qf r = 0 kN
Qf = 1112 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 20. 00 kN/ m3 Qcb = 6004 kNQc = 6929 kN > Rzuc = 1189 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1299 kN > K SF*Rzuu = 1. 20x1029 kN = 1235 kN - - OK
7. Lateral Loading
T = 2. 024 m Zmax = 728. 92Qgc = 223 kN Qgu = 194 kNAddi t i onal moment on t op of pi l e :Maddc = 121 kNm Maddu = 105 kNm
Mgc = 288. 4 kNm Mgu = 250. 2 kNm
7. 1. Compress i on Case
nh = 16000 kN/ m3 Qg = 222. 865 kN Mg = 288. 404 kNm Lf = 14. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01183 0. 00456 288. 40 222. 9 0. 000. 49 0. 01032 0. 00433 360. 99 203. 4 81. 210. 98 0. 00888 0. 00408 427. 59 175. 2 139. 711. 47 0. 00750 0. 00379 488. 19 138. 2 176. 931. 97 0. 00627 0. 00346 527. 97 93. 1 197. 302. 46 0. 00513 0. 00311 556. 43 47. 7 201. 672. 95 0. 00407 0. 00276 573. 58 2. 2 191. 993. 44 0. 00319 0. 00241 567. 67 - 37. 5 175. 873. 93 0. 00241 0. 00206 552. 65 - 72. 8 151. 364. 42 0. 00170 0. 00173 528. 51 - 103. 9 120. 474. 92 0. 00117 0. 00142 489. 70 - 124. 0 91. 985. 41 0. 00071 0. 00114 446. 87 - 139. 2 61. 22
5. 90 0. 00032 0. 00088 400. 02 - 149. 3 29. 856. 39 0. 00006 0. 00066 349. 93 - 146. 4 5. 846. 88 - 0. 00015 0. 00047 299. 60 - 143. 5 - 16. 827. 37 - 0. 00031 0. 00030 249. 02 - 140. 5 - 36. 967. 87 - 0. 00037 0. 00020 206. 59 - 127. 0 - 46. 048. 36 - 0. 00042 0. 00009 164. 16 - 113. 5 - 55. 96
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8. 85 - 0. 00047 - 0. 00001 121. 73 - 100. 0 - 66. 709. 34 - 0. 00045 - 0. 00006 94. 35 - 84. 3 - 66. 669. 83 - 0. 00042 - 0. 00010 66. 98 - 68. 6 - 66. 22
10. 32 - 0. 00040 - 0. 00014 39. 60 - 52. 9 - 65. 4010. 82 - 0. 00034 - 0. 00015 27. 24 - 39. 8 - 59. 3911. 31 - 0. 00029 - 0. 00016 14. 87 - 26. 6 - 52. 5611. 80 - 0. 00024 - 0. 00017 2. 51 - 13. 5 - 44. 9012. 29 - 0. 00018 - 0. 00017 0. 86 - 7. 8 - 35. 6412. 78 - 0. 00012 - 0. 00016 - 0. 78 - 2. 1 - 25. 4913. 28 - 0. 00007 - 0. 00016 - 2. 43 3. 5 - 14. 45
13. 77 - 0. 00001 - 0. 00016 - 1. 62 2. 4 - 3. 0014. 26 0. 00004 - 0. 00016 - 0. 81 1. 2 9. 3114. 75 0. 00010 - 0. 00016 0. 00 0. 0 22. 47
M max = 573. 583 kNm V max = 222. 865 kN
Maxi mummoment on t op of pi l e : Mcmax = 574 kNm Upl i f t Casenh = 16000 kN/ m3 Qg = 193. 659 kN Mg = 250. 183 kNm
Lf = 14. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01027 0. 00396 250. 18 193. 7 0. 000. 49 0. 00897 0. 00376 313. 26 176. 7 70. 530. 98 0. 00771 0. 00354 371. 13 152. 2 121. 341. 47 0. 00651 0. 00329 423. 80 120. 2 153. 68
1. 97 0. 00545 0. 00300 458. 38 80. 9 171. 382. 46 0. 00445 0. 00270 483. 13 41. 6 175. 172. 95 0. 00353 0. 00240 498. 05 2. 0 166. 783. 44 0. 00277 0. 00209 492. 94 - 32. 5 152. 783. 93 0. 00209 0. 00179 479. 92 - 63. 2 131. 494. 42 0. 00148 0. 00150 458. 98 - 90. 2 104. 674. 92 0. 00102 0. 00124 425. 29 - 107. 7 79. 925. 41 0. 00061 0. 00099 388. 10 - 120. 8 53. 215. 90 0. 00027 0. 00076 347. 42 - 129. 6 25. 966. 39 0. 00005 0. 00058 303. 93 - 127. 1 5. 106. 88 - 0. 00013 0. 00041 260. 22 - 124. 6 - 14. 587. 37 - 0. 00027 0. 00026 216. 30 - 122. 0 - 32. 077. 87 - 0. 00032 0. 00017 179. 45 - 110. 3 - 39. 978. 36 - 0. 00036 0. 00008 142. 60 - 98. 6 - 48. 588. 85 - 0. 00041 - 0. 00001 105. 75 - 86. 9 - 57. 929. 34 - 0. 00039 - 0. 00005 81. 97 - 73. 3 - 57. 88
9. 83 - 0. 00037 - 0. 00009 58. 19 - 59. 6 - 57. 5110. 32 - 0. 00034 - 0. 00012 34. 41 - 46. 0 - 56. 7910. 82 - 0. 00030 - 0. 00013 23. 67 - 34. 6 - 51. 5811. 31 - 0. 00025 - 0. 00014 12. 93 - 23. 1 - 45. 6511. 80 - 0. 00021 - 0. 00015 2. 19 - 11. 7 - 39. 0012. 29 - 0. 00016 - 0. 00014 0. 76 - 6. 8 - 30. 9612. 78 - 0. 00011 - 0. 00014 - 0. 68 - 1. 9 - 22. 1413. 28 - 0. 00006 - 0. 00014 - 2. 11 3. 1 - 12. 5613. 77 - 0. 00001 - 0. 00014 - 1. 41 2. 0 - 2. 6114. 26 0. 00004 - 0. 00014 - 0. 70 1. 0 8. 0714. 75 0. 00008 - 0. 00014 0. 00 0. 0 19. 50
M max = 498. 053 kNm V max = 193. 659 kN
Maxi mummoment on t op of pi l e : Mumax = 498 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 75. 48 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 447 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 447 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type So+3 at Location No. 7
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type So+3 at Location No. 7
8
9
10
11
12
13
14
15
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type So+3 at Location No. 7
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+3 at Location 7
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1189 574 0 0 0
2 Uplift -1029 498 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
14.75
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 14.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 14.75×
= 14.012 m
=ley ß y Lo.
= .95 14.75×
= 14.012 m
Column slenderness about both axes:
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Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=14.012
.8
= 17.515
= yley
d ia
=14.012
.8
= 17.515
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1029×
= -20.5800 kNm
Check if the column is slender: 3.8.1.3
x = 17.5 > 15
y = 17.5 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 14.750 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 498.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 498× ×- +
= 298.800 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 498×
= 199.200 kNm
Mi 0.4M2 = 298.8 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00755× × × ×+
= 12.23×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1029.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 498.0 kNm
(b) 3.8.3.2
= M M i M add +
= 298.8 0+
= 298.800 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 498.0 kNm
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 498.0 kNm Near mid-height, Mx = 298.8 kNm At the bottom, Mx = 0.0 kNm
Mxtop=498.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=498.0 kNm
Mxmin=-20.6 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.6 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7548 = 1.50%
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2349
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1189.0
0.00.0
574.00.0
344.40.0
145.9145.9
X-XTop
574.073.0 578.6
2286 (0.45%)
X-XY-Y -1029.0
0.00.0
498.00.0
298.80.0
0.00.0
X-XTop
498.00.0 498.0
7548 (1.50%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+3 at location 8
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1189 kN Rzuu = 1029 kNRxuc = 138 kN Rxuu = 120 kNRyuc = 175 kN Ryuu = 152 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 12000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 14. 50 m H0 = 14. 00 m Lf = 9. 00 m Lsd = 14. 00 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 22. 619 m2 V1 = 0. 360 m3 Vh = 7. 288 m3 Vf = 7. 649 m3 Wf = 184 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 5. 0 m Qf s = 1104 kN Qf r = 0 kN
Qf = 1104 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 20. 00 kN/ m3 Qcb = 5899 kNQc = 6819 kN > Rzuc = 1189 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1288 kN > K SF*Rzuu = 1. 20x1029 kN = 1235 kN - - OK
7. Lateral Loading
T = 2. 143 m Zmax = 676. 50Qgc = 223 kN Qgu = 194 kNAddi t i onal moment on t op of pi l e :Maddc = 123 kNm Maddu = 107 kNm
Mgc = 290. 3 kNm Mgu = 251. 8 kNm
7. 1. Compress i on Case
nh = 12000 kN/ m3 Qg = 222. 865 kN Mg = 290. 304 kNm Lf = 14. 50 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01385 0. 00501 290. 30 222. 9 0. 000. 48 0. 01209 0. 00477 367. 23 203. 7 70. 150. 97 0. 01041 0. 00449 437. 90 175. 8 120. 761. 45 0. 00880 0. 00418 502. 31 139. 4 153. 071. 93 0. 00736 0. 00381 544. 92 94. 7 170. 832. 42 0. 00603 0. 00344 575. 70 49. 9 174. 782. 90 0. 00479 0. 00305 594. 62 4. 8 166. 603. 38 0. 00376 0. 00266 589. 35 - 34. 5 152. 793. 87 0. 00284 0. 00228 574. 50 - 69. 6 131. 724. 35 0. 00201 0. 00191 550. 08 - 100. 5 105. 114. 83 0. 00139 0. 00158 510. 17 - 120. 7 80. 525. 32 0. 00085 0. 00127 466. 00 - 135. 9 53. 94
5. 80 0. 00039 0. 00098 417. 56 - 146. 1 26. 806. 28 0. 00008 0. 00074 365. 53 - 143. 5 5. 996. 77 - 0. 00017 0. 00053 313. 25 - 140. 8 - 13. 677. 25 - 0. 00036 0. 00034 260. 70 - 138. 1 - 31. 177. 73 - 0. 00042 0. 00022 216. 46 - 125. 0 - 39. 118. 22 - 0. 00048 0. 00011 172. 21 - 111. 8 - 47. 79
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8. 70 - 0. 00055 - 0. 00001 127. 97 - 98. 7 - 57. 199. 18 - 0. 00052 - 0. 00006 99. 32 - 83. 3 - 57. 259. 67 - 0. 00049 - 0. 00011 70. 67 - 67. 9 - 56. 97
10. 15 - 0. 00046 - 0. 00016 42. 02 - 52. 4 - 56. 3610. 63 - 0. 00040 - 0. 00017 29. 01 - 39. 5 - 51. 2311. 12 - 0. 00034 - 0. 00017 15. 99 - 26. 6 - 45. 3911. 60 - 0. 00028 - 0. 00018 2. 98 - 13. 6 - 38. 8412. 08 - 0. 00021 - 0. 00018 1. 18 - 8. 0 - 30. 8812. 57 - 0. 00015 - 0. 00018 - 0. 62 - 2. 3 - 22. 1513. 05 - 0. 00008 - 0. 00018 - 2. 43 3. 3 - 12. 66
13. 53 - 0. 00002 - 0. 00018 - 1. 62 2. 2 - 2. 8014. 02 0. 00005 - 0. 00018 - 0. 81 1. 1 7. 7914. 50 0. 00011 - 0. 00017 - 0. 00 0. 0 19. 13
M max = 594. 619 kNm V max = 222. 865 kN
Maxi mummoment on t op of pi l e : Mcmax = 595 kNm Upl i f t Casenh = 12000 kN/ m3 Qg = 193. 659 kN Mg = 251. 827 kNm
Lf = 14. 50 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01203 0. 00435 251. 83 193. 7 0. 000. 48 0. 01050 0. 00414 318. 68 177. 0 60. 930. 97 0. 00904 0. 00390 380. 09 152. 8 104. 891. 45 0. 00764 0. 00363 436. 06 121. 1 132. 96
1. 93 0. 00640 0. 00331 473. 11 82. 4 148. 392. 42 0. 00524 0. 00299 499. 86 43. 4 151. 822. 90 0. 00416 0. 00265 516. 33 4. 3 144. 723. 38 0. 00327 0. 00231 511. 77 - 29. 9 132. 733. 87 0. 00247 0. 00198 498. 90 - 60. 4 114. 434. 35 0. 00175 0. 00166 477. 72 - 87. 3 91. 324. 83 0. 00121 0. 00137 443. 07 - 104. 8 69. 975. 32 0. 00073 0. 00110 404. 72 - 118. 0 46. 885. 80 0. 00033 0. 00085 362. 67 - 126. 9 23. 306. 28 0. 00007 0. 00064 317. 48 - 124. 6 5. 236. 77 - 0. 00015 0. 00046 272. 08 - 122. 3 - 11. 857. 25 - 0. 00031 0. 00030 226. 45 - 120. 0 - 27. 057. 73 - 0. 00037 0. 00019 188. 03 - 108. 5 - 33. 958. 22 - 0. 00042 0. 00009 149. 60 - 97. 1 - 41. 498. 70 - 0. 00048 - 0. 00001 111. 17 - 85. 7 - 49. 669. 18 - 0. 00045 - 0. 00005 86. 29 - 72. 3 - 49. 71
9. 67 - 0. 00043 - 0. 00009 61. 40 - 58. 9 - 49. 4710. 15 - 0. 00040 - 0. 00013 36. 51 - 45. 6 - 48. 9510. 63 - 0. 00035 - 0. 00014 25. 21 - 34. 3 - 44. 4911. 12 - 0. 00030 - 0. 00015 13. 90 - 23. 1 - 39. 4211. 60 - 0. 00024 - 0. 00016 2. 60 - 11. 9 - 33. 7312. 08 - 0. 00018 - 0. 00016 1. 03 - 7. 0 - 26. 8212. 57 - 0. 00013 - 0. 00016 - 0. 54 - 2. 0 - 19. 2413. 05 - 0. 00007 - 0. 00016 - 2. 10 2. 9 - 11. 0013. 53 - 0. 00002 - 0. 00015 - 1. 40 1. 9 - 2. 4414. 02 0. 00004 - 0. 00015 - 0. 70 1. 0 6. 7614. 50 0. 00010 - 0. 00015 - 0. 00 0. 0 16. 61
M max = 516. 326 kNm V max = 193. 659 kN
Maxi mummoment on t op of pi l e : Mumax = 516 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 77. 05 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 447 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 447 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type So+3 at Location No. 8
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type So+3 at Location No. 8
8
9
10
11
12
13
14
15
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type So+3 at Location No. 8
8
9
10
11
12
13
14
15
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+3 at Location 8
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1189 595 0 0 0
2 Uplift -1029 516 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
14.50
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 14.500 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 14.5×
= 13.775 m
=ley ß y Lo.
= .95 14.5×
= 13.775 m
Column slenderness about both axes:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=13.775
.8
= 17.219
= yley
d ia
=13.775
.8
= 17.219
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1029×
= -20.5800 kNm
Check if the column is slender: 3.8.1.3
x = 17.2 > 15
y = 17.2 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 14.500 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 516.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 516× ×- +
= 309.600 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 516×
= 206.400 kNm
Mi 0.4M2 = 309.6 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .0077× × × ×+
= 12.30×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1029.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 516.0 kNm
(b) 3.8.3.2
= M M i M add +
= 309.6 0+
= 309.600 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 516.0 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 516.0 kNm Near mid-height, Mx = 309.6 kNm At the bottom, Mx = 0.0 kNm
Mxtop=516.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=516.0 kNm
Mxmin=-20.6 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1029×
= -20.5800 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.6 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7705 = 1.53%
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2349
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1189.0
0.00.0
595.00.0
357.00.0
141.0141.0
X-XTop
595.070.5 599.2
2521 (0.50%)
X-XY-Y -1029.0
0.00.0
516.00.0
309.60.0
0.00.0
X-XTop
516.00.0 516.0
7705 (1.53%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 9
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 30. 0° b = 32. 0°Ep = 27000000 kN/ m2 nh = 10000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 15. 00 m H0 = 14. 50 m Lf = 9. 50 m Lsd = 14. 50 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 23. 876 m2 V1 = 0. 360 m3 Vh = 7. 540 m3 Vf = 7. 900 m3 Wf = 190 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 5. 0 m Qf s = 1115 kN Qf r = 0 kN
Qf = 1115 kN
5. Compression Capacity of the Pile
Nq = 32. 1
B = 19. 00 kN/ m3 Qcb = 4452 kNQc = 5378 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1305 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 2. 223 m Zmax = 674. 76Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 127 kNm Maddu = 109 kNm
Mgc = 296. 4 kNm Mgu = 256. 9 kNm
7. 1. Compress i on Case
nh = 10000 kN/ m3 Qg = 226. 460 kN Mg = 296. 354 kNm Lf = 15. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01556 0. 00541 296. 35 226. 5 0. 000. 50 0. 01359 0. 00515 377. 45 207. 1 67. 961. 00 0. 01171 0. 00485 452. 01 179. 1 117. 051. 50 0. 00990 0. 00452 520. 01 142. 3 148. 442. 00 0. 00829 0. 00413 565. 24 97. 3 165. 752. 50 0. 00679 0. 00373 598. 06 52. 0 169. 683. 00 0. 00540 0. 00331 618. 48 6. 5 161. 853. 50 0. 00424 0. 00289 613. 55 - 33. 3 148. 554. 00 0. 00320 0. 00248 598. 58 - 68. 8 128. 204. 50 0. 00228 0. 00208 573. 57 - 100. 1 102. 465. 00 0. 00157 0. 00172 532. 27 - 120. 6 78. 645. 50 0. 00096 0. 00138 486. 47 - 136. 1 52. 88
6. 00 0. 00044 0. 00106 436. 17 - 146. 6 26. 566. 50 0. 00010 0. 00080 381. 98 - 144. 1 6. 367. 00 - 0. 00018 0. 00057 327. 53 - 141. 5 - 12. 747. 50 - 0. 00040 0. 00037 272. 81 - 138. 9 - 29. 768. 00 - 0. 00047 0. 00024 226. 62 - 125. 8 - 37. 508. 50 - 0. 00054 0. 00012 180. 44 - 112. 6 - 45. 97
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9. 00 - 0. 00061 - 0. 00001 134. 25 - 99. 5 - 55. 169. 50 - 0. 00058 - 0. 00006 104. 28 - 84. 0 - 55. 26
10. 00 - 0. 00055 - 0. 00011 74. 30 - 68. 5 - 55. 0510. 50 - 0. 00052 - 0. 00017 44. 33 - 53. 0 - 54. 5311. 00 - 0. 00045 - 0. 00018 30. 67 - 40. 0 - 49. 5911. 50 - 0. 00038 - 0. 00019 17. 00 - 27. 0 - 43. 9712. 00 - 0. 00031 - 0. 00020 3. 34 - 14. 0 - 37. 6612. 50 - 0. 00024 - 0. 00020 1. 41 - 8. 2 - 29. 9713. 00 - 0. 00017 - 0. 00020 - 0. 53 - 2. 5 - 21. 5413. 50 - 0. 00009 - 0. 00019 - 2. 46 3. 2 - 12. 37
14. 00 - 0. 00002 - 0. 00019 - 1. 64 2. 2 - 2. 8414. 50 0. 00005 - 0. 00019 - 0. 82 1. 1 7. 4115. 00 0. 00012 - 0. 00019 0. 00 0. 0 18. 37
M max = 618. 480 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 618 kNm Upl i f t Casenh = 10000 kN/ m3 Qg = 196. 637 kN Mg = 256. 931 kNm
Lf = 15. 00 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01350 0. 00470 256. 93 196. 6 0. 000. 50 0. 01180 0. 00447 327. 35 179. 8 58. 981. 00 0. 01016 0. 00421 392. 09 155. 5 101. 601. 50 0. 00859 0. 00392 451. 15 123. 6 128. 85
2. 00 0. 00719 0. 00358 490. 43 84. 5 143. 872. 50 0. 00589 0. 00323 518. 94 45. 2 147. 283. 00 0. 00468 0. 00287 536. 69 5. 7 140. 503. 50 0. 00368 0. 00251 532. 44 - 28. 8 128. 964. 00 0. 00278 0. 00215 519. 47 - 59. 7 111. 294. 50 0. 00198 0. 00180 497. 78 - 86. 8 88. 965. 00 0. 00137 0. 00149 461. 95 - 104. 6 68. 285. 50 0. 00083 0. 00120 422. 22 - 118. 1 45. 926. 00 0. 00038 0. 00092 378. 57 - 127. 2 23. 086. 50 0. 00009 0. 00070 331. 55 - 125. 0 5. 547. 00 - 0. 00016 0. 00050 284. 29 - 122. 8 - 11. 047. 50 - 0. 00034 0. 00032 236. 80 - 120. 6 - 25. 818. 00 - 0. 00041 0. 00021 196. 72 - 109. 2 - 32. 548. 50 - 0. 00047 0. 00010 156. 63 - 97. 7 - 39. 899. 00 - 0. 00053 - 0. 00001 116. 54 - 86. 3 - 47. 879. 50 - 0. 00050 - 0. 00005 90. 53 - 72. 9 - 47. 96
10. 00 - 0. 00048 - 0. 00010 64. 51 - 59. 5 - 47. 7810. 50 - 0. 00045 - 0. 00014 38. 49 - 46. 0 - 47. 3211. 00 - 0. 00039 - 0. 00015 26. 63 - 34. 7 - 43. 0411. 50 - 0. 00033 - 0. 00016 14. 77 - 23. 4 - 38. 1612. 00 - 0. 00027 - 0. 00017 2. 91 - 12. 1 - 32. 6912. 50 - 0. 00021 - 0. 00017 1. 23 - 7. 2 - 26. 0213. 00 - 0. 00014 - 0. 00017 - 0. 45 - 2. 2 - 18. 7013. 50 - 0. 00008 - 0. 00017 - 2. 13 2. 8 - 10. 7414. 00 - 0. 00002 - 0. 00017 - 1. 42 1. 9 - 2. 4714. 50 0. 00004 - 0. 00017 - 0. 71 0. 9 6. 4215. 00 0. 00011 - 0. 00016 0. 00 0. 0 15. 93
M max = 536. 693 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 537 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 18ø25 Astef = 88. 36 cm2 > Ast = 80. 19 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 774
vc = 0. 765 N/ mm2 v' c = 0. 895 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 9
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 9
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 9
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 9
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 618 0 0 0
2 Uplift -1046 537 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
15.00
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 15.000 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 15×
= 14.250 m
=ley ß y Lo.
= .95 15×
= 14.250 m
Column slenderness about both axes:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=14.25
.8
= 17.812
= yley
d ia
=14.25
.8
= 17.812
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 17.8 > 15
y = 17.8 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 15.000 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 537.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 537× ×- +
= 322.200 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 537×
= 214.800 kNm
Mi 0.4M2 = 322.2 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00802× × × ×+
= 12.44×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 537.0 kNm
(b) 3.8.3.2
= M M i M add +
= 322.2 0+
= 322.200 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 537.0 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 537.0 kNm Near mid-height, Mx = 322.2 kNm At the bottom, Mx = 0.0 kNm
Mxtop=537.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=537.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 8019 = 1.60%
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
618.00.0
370.80.0
153.4153.4
X-XTop
618.076.7 622.7
2678 (0.53%)
X-XY-Y -1046.0
0.00.0
537.00.0
322.20.0
0.00.0
X-XTop
537.00.0 537.0
8019 (1.60%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 10
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 19. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 32. 0°Ep = 27000000 kN/ m2 nh = 18500 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 12. 75 m H0 = 12. 25 m Lf = 10. 25 m Lsd = 12. 25 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 25. 761 m2 V1 = 0. 360 m3 Vh = 6. 409 m3 Vf = 6. 769 m3 Wf = 162 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 2. 0 m Qf s = 1161 kN Qf r = 0 kN
Qf = 1161 kN
5. Compression Capacity of the Pile
Nq = 32. 1
B = 19. 00 kN/ m3 Qcb = 3761 kNQc = 4760 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1324 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 1. 966 m Zmax = 648. 64Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 122 kNm Maddu = 106 kNm
Mgc = 292. 2 kNm Mgu = 253. 3 kNm
7. 1. Compress i on Case
nh = 18500 kN/ m3 Qg = 226. 460 kN Mg = 292. 206 kNm Lf = 12. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01110 0. 00442 292. 21 226. 5 0. 000. 42 0. 00969 0. 00420 363. 84 206. 5 76. 170. 85 0. 00833 0. 00394 429. 51 177. 7 130. 981. 27 0. 00703 0. 00366 489. 22 139. 9 165. 801. 70 0. 00588 0. 00334 528. 24 93. 7 184. 822. 13 0. 00480 0. 00301 556. 03 47. 4 188. 812. 55 0. 00381 0. 00267 572. 58 0. 9 179. 642. 97 0. 00299 0. 00233 566. 25 - 39. 7 164. 453. 40 0. 00225 0. 00199 550. 89 - 75. 7 141. 403. 82 0. 00159 0. 00167 526. 50 - 107. 4 112. 394. 25 0. 00109 0. 00137 487. 59 - 127. 9 85. 664. 67 0. 00066 0. 00110 444. 72 - 143. 2 56. 82
5. 10 0. 00029 0. 00085 397. 89 - 153. 4 27. 425. 52 0. 00005 0. 00064 347. 95 - 150. 3 4. 945. 95 - 0. 00015 0. 00045 297. 76 - 147. 2 - 16. 266. 37 - 0. 00030 0. 00029 247. 32 - 144. 0 - 35. 086. 80 - 0. 00035 0. 00019 205. 09 - 130. 1 - 43. 557. 22 - 0. 00039 0. 00009 162. 87 - 116. 3 - 52. 79
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7. 65 - 0. 00044 - 0. 00001 120. 64 - 102. 4 - 62. 798. 07 - 0. 00042 - 0. 00006 93. 44 - 86. 3 - 62. 718. 50 - 0. 00040 - 0. 00010 66. 24 - 70. 2 - 62. 248. 92 - 0. 00037 - 0. 00014 39. 05 - 54. 0 - 61. 419. 35 - 0. 00032 - 0. 00015 26. 80 - 40. 6 - 55. 749. 78 - 0. 00027 - 0. 00015 14. 56 - 27. 1 - 49. 30
10. 20 - 0. 00022 - 0. 00016 2. 32 - 13. 6 - 42. 0810. 63 - 0. 00017 - 0. 00016 0. 72 - 7. 9 - 33. 3711. 05 - 0. 00012 - 0. 00016 - 0. 88 - 2. 1 - 23. 8311. 48 - 0. 00006 - 0. 00016 - 2. 48 3. 7 - 13. 45
11. 90 - 0. 00001 - 0. 00016 - 1. 65 2. 5 - 2. 6912. 33 0. 00004 - 0. 00015 - 0. 83 1. 2 8. 8712. 75 0. 00009 - 0. 00015 0. 00 0. 0 21. 23
M max = 572. 575 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 573 kNm Upl i f t Casenh = 18500 kN/ m3 Qg = 196. 637 kN Mg = 253. 342 kNm
Lf = 12. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 00964 0. 00383 253. 34 196. 6 0. 000. 42 0. 00841 0. 00364 315. 54 179. 3 66. 110. 85 0. 00723 0. 00342 372. 57 154. 3 113. 681. 27 0. 00610 0. 00318 424. 42 121. 5 143. 91
1. 70 0. 00510 0. 00290 458. 31 81. 4 160. 422. 13 0. 00417 0. 00261 482. 46 41. 2 163. 892. 55 0. 00331 0. 00232 496. 85 0. 8 155. 942. 97 0. 00259 0. 00202 491. 37 - 34. 3 142. 753. 40 0. 00195 0. 00173 478. 06 - 65. 7 122. 753. 82 0. 00138 0. 00145 456. 92 - 93. 1 97. 584. 25 0. 00095 0. 00119 423. 16 - 110. 9 74. 384. 67 0. 00057 0. 00095 385. 97 - 124. 3 49. 355. 10 0. 00025 0. 00073 345. 34 - 133. 1 23. 835. 52 0. 00004 0. 00055 301. 99 - 130. 5 4. 315. 95 - 0. 00013 0. 00039 258. 44 - 127. 7 - 14. 096. 37 - 0. 00026 0. 00025 214. 67 - 125. 0 - 30. 436. 80 - 0. 00030 0. 00016 178. 02 - 112. 9 - 37. 787. 22 - 0. 00034 0. 00008 141. 37 - 100. 9 - 45. 807. 65 - 0. 00039 - 0. 00001 104. 73 - 88. 9 - 54. 498. 07 - 0. 00036 - 0. 00005 81. 12 - 74. 9 - 54. 42
8. 50 - 0. 00034 - 0. 00008 57. 51 - 60. 9 - 54. 028. 92 - 0. 00032 - 0. 00012 33. 91 - 46. 9 - 53. 299. 35 - 0. 00028 - 0. 00013 23. 28 - 35. 2 - 48. 389. 78 - 0. 00024 - 0. 00013 12. 65 - 23. 5 - 42. 79
10. 20 - 0. 00019 - 0. 00014 2. 02 - 11. 8 - 36. 5210. 63 - 0. 00015 - 0. 00014 0. 63 - 6. 8 - 28. 9711. 05 - 0. 00010 - 0. 00014 - 0. 76 - 1. 8 - 20. 6911. 48 - 0. 00006 - 0. 00014 - 2. 15 3. 2 - 11. 6811. 90 - 0. 00001 - 0. 00014 - 1. 43 2. 1 - 2. 3412. 33 0. 00003 - 0. 00013 - 0. 72 1. 1 7. 6912. 75 0. 00008 - 0. 00013 0. 00 0. 0 18. 42
M max = 496. 845 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 497 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 75. 48 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 10
7
8
9
10
11
12
13
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 10
7
8
9
10
11
12
13
D e p t h f r o m G
r
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0
1
2
3
4
5
6
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 10
7
8
9
10
11
12
13
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 10
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 573 0 0 0
2 Uplift -1046 497 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
12.75
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 12.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 12.75×
= 12.112 m
=ley ß y Lo.
= .95 12.75×
= 12.112 m
Column slenderness about both axes:
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3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=12.112
.8
= 15.140
= yley
d ia
=12.112
.8
= 15.140
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 15.1 > 15
y = 15.1 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 12.750 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 497.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 497× ×- +
= 298.200 kNm
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Internet: http://www.prokon.com
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4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 497×
= 198.800 kNm
Mi 0.4M2 = 298.2 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00755× × × ×+
= 12.23×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 497.0 kNm
(b) 3.8.3.2
= M M i M add +
= 298.2 0+
= 298.200 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 497.0 kNm
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Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 497.0 kNm Near mid-height, Mx = 298.2 kNm At the bottom, Mx = 0.0 kNm
Mxtop=497.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=497.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7548 = 1.50%
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Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
573.00.0
343.80.0
110.9110.9
X-XTop
573.055.4 575.7
2207 (0.44%)
X-XY-Y -1046.0
0.00.0
497.00.0
298.20.0
0.00.0
X-XTop
497.00.0 497.0
7548 (1.50%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 11
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 30. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 14000 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 13. 25 m H0 = 12. 75 m Lf = 10. 75 m Lsd = 12. 75 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 27. 018 m2 V1 = 0. 360 m3 Vh = 6. 660 m3 Vf = 7. 020 m3 Wf = 168 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 2. 0 m Qf s = 1110 kN Qf r = 0 kN
Qf = 1110 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 19. 00 kN/ m3 Qcb = 5103 kNQc = 6045 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1278 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 2. 078 m Zmax = 637. 53Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 124 kNm Maddu = 107 kNm
Mgc = 294. 0 kNm Mgu = 254. 9 kNm
7. 1. Compress i on Case
nh = 14000 kN/ m3 Qg = 226. 460 kN Mg = 294. 022 kNm Lf = 13. 25 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01293 0. 00484 294. 02 226. 5 0. 000. 44 0. 01129 0. 00460 369. 80 206. 8 69. 810. 88 0. 00971 0. 00433 439. 36 178. 3 120. 131. 33 0. 00820 0. 00403 502. 70 141. 0 152. 201. 77 0. 00686 0. 00368 544. 44 95. 4 169. 792. 21 0. 00562 0. 00331 574. 43 49. 5 173. 622. 65 0. 00446 0. 00294 592. 67 3. 5 165. 393. 09 0. 00350 0. 00256 586. 96 - 36. 7 151. 583. 53 0. 00264 0. 00220 571. 77 - 72. 5 130. 563. 97 0. 00187 0. 00184 547. 11 - 104. 0 104. 044. 42 0. 00129 0. 00152 507. 15 - 124. 4 79. 564. 86 0. 00078 0. 00122 463. 00 - 139. 9 53. 11
5. 30 0. 00035 0. 00094 414. 65 - 150. 2 26. 135. 74 0. 00007 0. 00071 362. 85 - 147. 4 5. 456. 18 - 0. 00016 0. 00050 310. 79 - 144. 5 - 14. 076. 62 - 0. 00034 0. 00032 258. 48 - 141. 6 - 31. 427. 07 - 0. 00040 0. 00021 214. 52 - 128. 1 - 39. 287. 51 - 0. 00046 0. 00010 170. 56 - 114. 6 - 47. 85
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7. 95 - 0. 00051 - 0. 00001 126. 60 - 101. 0 - 57. 148. 39 - 0. 00049 - 0. 00006 98. 19 - 85. 2 - 57. 158. 83 - 0. 00046 - 0. 00010 69. 77 - 69. 4 - 56. 829. 27 - 0. 00043 - 0. 00015 41. 36 - 53. 6 - 56. 169. 72 - 0. 00038 - 0. 00016 28. 50 - 40. 3 - 51. 02
10. 16 - 0. 00032 - 0. 00017 15. 63 - 27. 0 - 45. 1710. 60 - 0. 00026 - 0. 00018 2. 77 - 13. 8 - 38. 6211. 04 - 0. 00020 - 0. 00018 1. 02 - 8. 0 - 30. 6811. 48 - 0. 00014 - 0. 00017 - 0. 72 - 2. 3 - 21. 9711. 92 - 0. 00007 - 0. 00017 - 2. 47 3. 5 - 12. 50
12. 37 - 0. 00002 - 0. 00017 - 1. 65 2. 3 - 2. 6812. 81 0. 00004 - 0. 00017 - 0. 82 1. 2 7. 8913. 25 0. 00010 - 0. 00017 - 0. 00 0. 0 19. 19
M max = 592. 674 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 593 kNm Upl i f t Casenh = 14000 kN/ m3 Qg = 196. 637 kN Mg = 254. 913 kNm
Lf = 13. 25 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01122 0. 00420 254. 91 196. 6 0. 000. 44 0. 00980 0. 00399 320. 71 179. 6 60. 590. 88 0. 00843 0. 00376 381. 11 154. 8 104. 271. 33 0. 00712 0. 00350 436. 12 122. 5 132. 11
1. 77 0. 00596 0. 00319 472. 37 82. 8 147. 382. 21 0. 00487 0. 00288 498. 43 43. 1 150. 712. 65 0. 00387 0. 00255 514. 29 3. 1 143. 563. 09 0. 00304 0. 00223 509. 35 - 31. 8 131. 593. 53 0. 00229 0. 00191 496. 19 - 62. 9 113. 343. 97 0. 00162 0. 00160 474. 81 - 90. 2 90. 334. 42 0. 00112 0. 00132 440. 15 - 108. 0 69. 084. 86 0. 00068 0. 00106 401. 84 - 121. 4 46. 125. 30 0. 00031 0. 00081 359. 89 - 130. 3 22. 705. 74 0. 00006 0. 00061 314. 93 - 127. 9 4. 766. 18 - 0. 00014 0. 00044 269. 76 - 125. 4 - 12. 196. 62 - 0. 00029 0. 00028 224. 36 - 122. 9 - 27. 257. 07 - 0. 00034 0. 00018 186. 21 - 111. 2 - 34. 077. 51 - 0. 00039 0. 00009 148. 05 - 99. 4 - 41. 527. 95 - 0. 00045 - 0. 00001 109. 90 - 87. 7 - 49. 598. 39 - 0. 00042 - 0. 00005 85. 24 - 73. 9 - 49. 59
8. 83 - 0. 00040 - 0. 00009 60. 58 - 60. 2 - 49. 319. 27 - 0. 00038 - 0. 00013 35. 91 - 46. 5 - 48. 749. 72 - 0. 00033 - 0. 00014 24. 75 - 35. 0 - 44. 28
10. 16 - 0. 00028 - 0. 00015 13. 58 - 23. 5 - 39. 2110. 60 - 0. 00023 - 0. 00015 2. 41 - 12. 0 - 33. 5211. 04 - 0. 00017 - 0. 00015 0. 89 - 7. 0 - 26. 6311. 48 - 0. 00012 - 0. 00015 - 0. 62 - 2. 0 - 19. 0711. 92 - 0. 00007 - 0. 00015 - 2. 14 3. 0 - 10. 8612. 37 - 0. 00001 - 0. 00015 - 1. 43 2. 0 - 2. 3312. 81 0. 00004 - 0. 00015 - 0. 71 1. 0 6. 8413. 25 0. 00009 - 0. 00015 - 0. 00 0. 0 16. 64
M max = 514. 293 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 514 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 77. 83 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 11
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 11
7
8
9
10
11
12
13
14
D e p t h f r o m G
r
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0
1
2
3
4
5
6
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 11
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 11
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 593 0 0 0
2 Uplift -1046 514 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
13.25
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 13.250 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 13.25×
= 12.587 m
=ley ß y Lo.
= .95 13.25×
= 12.587 m
Column slenderness about both axes:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=12.587
.8
= 15.734
= yley
d ia
=12.587
.8
= 15.734
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 15.7 > 15
y = 15.7 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 13.250 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 514.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 514× ×- +
= 308.400 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 514×
= 205.600 kNm
Mi 0.4M2 = 308.4 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00778× × × ×+
= 12.33×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 514.0 kNm
(b) 3.8.3.2
= M M i M add +
= 308.4 0+
= 308.400 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 514.0 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 514.0 kNm Near mid-height, Mx = 308.4 kNm At the bottom, Mx = 0.0 kNm
Mxtop=514.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=514.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Internet: http://www.prokon.com
E-Mail : [email protected]
7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7783 = 1.55%
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Job Title
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
593.00.0
355.80.0
119.7119.7
X-XTop
593.059.9 596.0
2443 (0.49%)
X-XY-Y -1046.0
0.00.0
514.00.0
308.40.0
0.00.0
X-XTop
514.00.0 514.0
7783 (1.55%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type So+6 at location 12
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1209 kN Rzuu = 1046 kNRxuc = 140 kN Rxuu = 121 kNRyuc = 178 kN Ryuu = 155 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 11500 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 14. 50 m H0 = 14. 00 m Lf = 9. 00 m Lsd = 14. 00 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 22. 619 m2 V1 = 0. 360 m3 Vh = 7. 288 m3 Vf = 7. 649 m3 Wf = 184 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 5. 0 m Qf s = 1104 kN Qf r = 0 kN
Qf = 1104 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 20. 00 kN/ m3 Qcb = 5899 kNQc = 6819 kN > Rzuc = 1209 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1288 kN > K SF*Rzuu = 1. 20x1046 kN = 1255 kN - - OK
7. Lateral Loading
T = 2. 162 m Zmax = 670. 76Qgc = 226 kN Qgu = 197 kNAddi t i onal moment on t op of pi l e :Maddc = 126 kNm Maddu = 109 kNm
Mgc = 295. 4 kNm Mgu = 256. 1 kNm
7. 1. Compress i on Case
nh = 11500 kN/ m3 Qg = 226. 460 kN Mg = 295. 367 kNm Lf = 14. 50 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01441 0. 00517 295. 37 226. 5 0. 000. 48 0. 01258 0. 00492 374. 21 207. 0 69. 940. 97 0. 01083 0. 00463 446. 65 178. 8 120. 411. 45 0. 00915 0. 00431 512. 68 141. 8 152. 651. 93 0. 00766 0. 00393 556. 43 96. 5 170. 382. 42 0. 00627 0. 00355 588. 05 51. 0 174. 342. 90 0. 00498 0. 00315 607. 55 5. 3 166. 203. 38 0. 00392 0. 00275 602. 29 - 34. 7 152. 463. 87 0. 00296 0. 00236 587. 22 - 70. 3 131. 464. 35 0. 00210 0. 00197 562. 36 - 101. 7 104. 944. 83 0. 00145 0. 00163 521. 63 - 122. 2 80. 435. 32 0. 00088 0. 00131 476. 53 - 137. 6 53. 92
5. 80 0. 00040 0. 00101 427. 06 - 148. 0 26. 866. 28 0. 00008 0. 00076 373. 88 - 145. 4 6. 106. 77 - 0. 00017 0. 00054 320. 44 - 142. 7 - 13. 517. 25 - 0. 00037 0. 00035 266. 74 - 140. 0 - 30. 987. 73 - 0. 00044 0. 00023 221. 50 - 126. 7 - 38. 918. 22 - 0. 00050 0. 00011 176. 25 - 113. 4 - 47. 57
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8. 70 - 0. 00057 - 0. 00001 131. 01 - 100. 1 - 56. 969. 18 - 0. 00054 - 0. 00006 101. 70 - 84. 5 - 57. 039. 67 - 0. 00051 - 0. 00011 72. 38 - 68. 9 - 56. 76
10. 15 - 0. 00048 - 0. 00016 43. 07 - 53. 2 - 56. 1710. 63 - 0. 00042 - 0. 00017 29. 75 - 40. 1 - 51. 0711. 12 - 0. 00035 - 0. 00018 16. 42 - 27. 0 - 45. 2511. 60 - 0. 00029 - 0. 00019 3. 10 - 13. 9 - 38. 7312. 08 - 0. 00022 - 0. 00019 1. 24 - 8. 1 - 30. 8012. 57 - 0. 00015 - 0. 00019 - 0. 61 - 2. 4 - 22. 1113. 05 - 0. 00008 - 0. 00018 - 2. 46 3. 3 - 12. 65
13. 53 - 0. 00002 - 0. 00018 - 1. 64 2. 2 - 2. 8214. 02 0. 00005 - 0. 00018 - 0. 82 1. 1 7. 7414. 50 0. 00011 - 0. 00018 - 0. 00 0. 0 19. 03
M max = 607. 550 kNm V max = 226. 460 kN
Maxi mummoment on t op of pi l e : Mcmax = 608 kNm Upl i f t Casenh = 11500 kN/ m3 Qg = 196. 637 kN Mg = 256. 076 kNm
Lf = 14. 50 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01250 0. 00449 256. 08 196. 6 0. 000. 48 0. 01092 0. 00427 324. 54 179. 7 60. 700. 97 0. 00940 0. 00402 387. 44 155. 2 104. 511. 45 0. 00795 0. 00374 444. 78 123. 1 132. 49
1. 93 0. 00665 0. 00341 482. 78 83. 8 147. 892. 42 0. 00545 0. 00308 510. 25 44. 3 151. 332. 90 0. 00433 0. 00273 527. 21 4. 7 144. 273. 38 0. 00340 0. 00239 522. 66 - 30. 0 132. 353. 87 0. 00257 0. 00205 509. 61 - 61. 0 114. 134. 35 0. 00182 0. 00171 488. 05 - 88. 2 91. 114. 83 0. 00126 0. 00142 452. 72 - 106. 0 69. 835. 32 0. 00077 0. 00114 413. 58 - 119. 4 46. 835. 80 0. 00035 0. 00088 370. 66 - 128. 5 23. 346. 28 0. 00007 0. 00066 324. 51 - 126. 2 5. 326. 77 - 0. 00015 0. 00047 278. 13 - 123. 9 - 11. 717. 25 - 0. 00032 0. 00031 231. 53 - 121. 5 - 26. 877. 73 - 0. 00038 0. 00020 192. 27 - 110. 0 - 33. 758. 22 - 0. 00044 0. 00010 153. 00 - 98. 4 - 41. 278. 70 - 0. 00049 - 0. 00001 113. 73 - 86. 9 - 49. 439. 18 - 0. 00047 - 0. 00005 88. 29 - 73. 3 - 49. 49
9. 67 - 0. 00044 - 0. 00010 62. 84 - 59. 8 - 49. 2610. 15 - 0. 00042 - 0. 00014 37. 40 - 46. 2 - 48. 7510. 63 - 0. 00036 - 0. 00015 25. 83 - 34. 8 - 44. 3211. 12 - 0. 00031 - 0. 00016 14. 27 - 23. 4 - 39. 2811. 60 - 0. 00025 - 0. 00017 2. 70 - 12. 1 - 33. 6212. 08 - 0. 00019 - 0. 00016 1. 09 - 7. 1 - 26. 7312. 57 - 0. 00013 - 0. 00016 - 0. 52 - 2. 1 - 19. 1913. 05 - 0. 00007 - 0. 00016 - 2. 14 2. 9 - 10. 9813. 53 - 0. 00002 - 0. 00016 - 1. 42 1. 9 - 2. 4614. 02 0. 00004 - 0. 00016 - 0. 71 1. 0 6. 7114. 50 0. 00010 - 0. 00016 - 0. 00 0. 0 16. 51
M max = 527. 205 kNm V max = 196. 637 kN
Maxi mummoment on t op of pi l e : Mumax = 527 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 17ø25 Astef = 83. 45 cm2 > Ast = 78. 62 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 675
vc = 0. 751 N/ mm2 v' c = 0. 878 N/ mm2 v = 0. 455 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 455 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
7
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type S+6 at Location No. 12
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
7
-400 -300 -200 -100 0 100 200 300 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type S+6 at Location No. 12
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r
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0
1
2
3
4
5
6
7
-5 0 5 10 15 20 25
u n
d L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type S+6 at Location No. 12
8
9
10
11
12
13
14
15
16
D e p t h f r o m G
r o
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type So+6 at Location 12
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1209 608 0 0 0
2 Uplift -1046 527 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
14.50
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 14.500 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 14.5×
= 13.775 m
=ley ß y Lo.
= .95 14.5×
= 13.775 m
Column slenderness about both axes:
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Client
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Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=13.775
.8
= 17.219
= yley
d ia
=13.775
.8
= 17.219
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -1046×
= -20.9200 kNm
Check if the column is slender: 3.8.1.3
x = 17.2 > 15
y = 17.2 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 14.500 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 527.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 527× ×- +
= 316.200 kNm
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 527×
= 210.800 kNm
Mi 0.4M2 = 316.2 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .00786× × × ×+
= 12.37×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -1046.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 527.0 kNm
(b) 3.8.3.2
= M M i M add +
= 316.2 0+
= 316.200 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 527.0 kNm
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 527.0 kNm Near mid-height, Mx = 316.2 kNm At the bottom, Mx = 0.0 kNm
Mxtop=527.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=527.0 kNm
Mxmin=-20.9 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -1046×
= -20.9200 kNm
Thus 3.8.3.2
M = 0.0 kNm
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7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-20.9 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7862 = 1.56%
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2388
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1209.0
0.00.0
608.00.0
364.80.0
143.4143.4
X-XTop
608.071.7 612.2
2600 (0.52%)
X-XY-Y -1046.0
0.00.0
527.00.0
316.20.0
0.00.0
X-XTop
527.00.0 527.0
7862 (1.56%)
Load case 2 (Uplift) is critical.
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Piled Foundation
for Tower Type Str±0 (Larsen&Tubro Design) at location 13
1. Loading Data
1. 1. Ul t i mat e For ces f or Ver t i cal LegRzuc = 1067 kN Rzuu = 924 kNRxuc = 173 kN Rxuu = 154 kNRyuc = 166 kN Ryuu = 148 kN
2. Soil and Concrete Data
Soi l descri pt i on: Si l t y sand; dry, f i ne grai ned, non- pl asti c, very l oose t o ver y dense.
sd = 18. 00 kN/ m3 K s = 0. 62
= 32. 0° b = 34. 0°Ep = 27000000 kN/ m2 nh = 15500 kN/ m3
cd = 24. 0 kN/ m3 Cc = 7. 5 cm
3. Dimensions and Quantities
d = 80 cm h1 = 75 cm h7 = 5 cm
Hp = 0. 50 m H = 13. 75 m H0 = 13. 25 m Lf = 8. 25 m Lsd = 13. 25 m Lsw = 0. 00 m Ab = 0. 503 m2
Al s = 20. 735 m2 V1 = 0. 360 m3 Vh = 6. 912 m3 Vf = 7. 272 m3 Wf = 175 kN
4. Lateral Friction of the Pile
Lengt h of pi l e f r om gr ound l evel not consi dered f or upl i f t capaci t y: L0 = 5. 0 m Qf s = 958 kN Qf r = 0 kN
Qf = 958 kN
5. Compression Capacity of the Pile
Nq = 41. 9
B = 20. 00 kN/ m3 Qcb = 5583 kNQc = 6366 kN > Rzuc = 1067 kN - - OK
6. Uplift Capacity of the Pile
Qu = 1132 kN > K SF*Rzuu = 1. 20x924 kN = 1109 kN - - OK
7. Lateral Loading
T = 2. 036 m Zmax = 675. 20Qgc = 240 kN Qgu = 214 kNAddi t i onal moment on t op of pi l e :Maddc = 109 kNm Maddu = 94 kNm
Mgc = 288. 8 kNm Mgu = 254. 6 kNm
7. 1. Compress i on Case
nh = 15500 kN/ m3 Qg = 239. 760 kN Mg = 288. 817 kNm Lf = 13. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4
z y r ot ati on M V p[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01268 0. 00482 288. 82 239. 8 0. 000. 46 0. 01108 0. 00459 367. 47 219. 3 78. 690. 92 0. 00954 0. 00432 439. 77 189. 5 135. 531. 38 0. 00806 0. 00402 505. 71 150. 6 171. 871. 83 0. 00675 0. 00367 549. 52 102. 8 191. 892. 29 0. 00553 0. 00331 581. 30 54. 8 196. 422. 75 0. 00440 0. 00294 601. 04 6. 6 187. 343. 21 0. 00346 0. 00257 596. 16 - 35. 5 171. 923. 67 0. 00261 0. 00220 581. 55 - 73. 2 148. 344. 13 0. 00185 0. 00185 557. 18 - 106. 3 118. 544. 58 0. 00128 0. 00153 517. 02 - 128. 0 90. 955. 04 0. 00078 0. 00122 472. 49 - 144. 4 61. 12
5. 50 0. 00036 0. 00095 423. 60 - 155. 5 30. 665. 96 0. 00008 0. 00071 370. 95 - 152. 8 7. 276. 42 - 0. 00015 0. 00051 318. 04 - 150. 1 - 14. 846. 87 - 0. 00032 0. 00033 264. 87 - 147. 3 - 34. 537. 33 - 0. 00038 0. 00022 220. 01 - 133. 4 - 43. 507. 79 - 0. 00044 0. 00010 175. 16 - 119. 4 - 53. 29
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8. 25 - 0. 00050 - 0. 00001 130. 30 - 105. 4 - 63. 928. 71 - 0. 00047 - 0. 00006 101. 19 - 89. 0 - 64. 039. 17 - 0. 00045 - 0. 00010 72. 09 - 72. 6 - 63. 779. 63 - 0. 00042 - 0. 00015 42. 99 - 56. 2 - 63. 15
10. 08 - 0. 00037 - 0. 00016 29. 73 - 42. 4 - 57. 4310. 54 - 0. 00031 - 0. 00017 16. 47 - 28. 6 - 50. 9111. 00 - 0. 00026 - 0. 00018 3. 21 - 14. 8 - 43. 6011. 46 - 0. 00020 - 0. 00018 1. 34 - 8. 7 - 34. 7011. 92 - 0. 00013 - 0. 00017 - 0. 53 - 2. 6 - 24. 9312. 38 - 0. 00007 - 0. 00017 - 2. 40 3. 4 - 14. 31
12. 83 - 0. 00002 - 0. 00017 - 1. 60 2. 3 - 3. 2713. 29 0. 00004 - 0. 00017 - 0. 80 1. 1 8. 6013. 75 0. 00010 - 0. 00017 0. 00 0. 0 21. 29
M max = 601. 036 kNm V max = 239. 760 kN
Maxi mummoment on t op of pi l e : Mcmax = 601 kNm Upl i f t Casenh = 15500 kN/ m3 Qg = 213. 588 kN Mg = 254. 580 kNm
Lf = 13. 75 m Ep = 27000000 kN/ m2 I p = 0. 020106 m4z y r ot ati on M V p
[ m] [ m] [ - ] [ kNm] [ kN] [ kN/ m]0. 00 0. 01126 0. 00428 254. 58 213. 6 0. 000. 46 0. 00984 0. 00407 324. 66 195. 4 69. 900. 92 0. 00847 0. 00383 389. 08 169. 0 120. 411. 38 0. 00717 0. 00357 447. 86 134. 3 152. 72
1. 83 0. 00600 0. 00326 486. 98 91. 9 170. 542. 29 0. 00492 0. 00294 515. 40 49. 3 174. 602. 75 0. 00391 0. 00261 533. 12 6. 4 166. 573. 21 0. 00307 0. 00228 528. 96 - 31. 1 152. 903. 67 0. 00232 0. 00196 516. 12 - 64. 6 131. 974. 13 0. 00165 0. 00164 494. 63 - 94. 1 105. 514. 58 0. 00114 0. 00136 459. 06 - 113. 4 81. 015. 04 0. 00070 0. 00109 419. 61 - 128. 0 54. 515. 50 0. 00032 0. 00084 376. 26 - 137. 9 27. 445. 96 0. 00007 0. 00064 329. 54 - 135. 6 6. 656. 42 - 0. 00013 0. 00045 282. 59 - 133. 2 - 13. 016. 87 - 0. 00029 0. 00029 235. 41 - 130. 8 - 30. 537. 33 - 0. 00034 0. 00019 195. 58 - 118. 4 - 38. 517. 79 - 0. 00039 0. 00009 155. 74 - 106. 1 - 47. 238. 25 - 0. 00044 - 0. 00001 115. 90 - 93. 7 - 56. 708. 71 - 0. 00042 - 0. 00005 90. 04 - 79. 1 - 56. 81
9. 17 - 0. 00040 - 0. 00009 64. 17 - 64. 5 - 56. 609. 63 - 0. 00038 - 0. 00013 38. 31 - 49. 9 - 56. 0710. 08 - 0. 00033 - 0. 00014 26. 51 - 37. 7 - 51. 0010. 54 - 0. 00028 - 0. 00015 14. 71 - 25. 4 - 45. 2211. 00 - 0. 00023 - 0. 00016 2. 92 - 13. 2 - 38. 7411. 46 - 0. 00017 - 0. 00016 1. 24 - 7. 8 - 30. 8411. 92 - 0. 00012 - 0. 00015 - 0. 43 - 2. 4 - 22. 1712. 38 - 0. 00007 - 0. 00015 - 2. 11 3. 0 - 12. 7512. 83 - 0. 00001 - 0. 00015 - 1. 41 2. 0 - 2. 9513. 29 0. 00004 - 0. 00015 - 0. 70 1. 0 7. 5913. 75 0. 00009 - 0. 00015 0. 00 0. 0 18. 86
M max = 533. 119 kNm V max = 213. 588 kN
Maxi mummoment on t op of pi l e : Mumax = 533 kNm
8. Longitudinal Reinforcement
Hi gh t ensi l e steel : f y = 460 N/ mm2 Long. r ei nf orcement di ameter : = 25 mm
Shear r ei nf orcement di ameter : = 10 mm
Take : 16ø25 Astef = 78. 54 cm2 > Ast = 77. 05 cm2 - - OK
9. Shear Reinforcement
d1 = 702. 5 mm bv = 709. 0 mm K v = 1. 577
vc = 0. 736 N/ mm2 v' c = 0. 860 N/ mm2 v = 0. 481 N/ mm2 > 0. 5 v' c Asvrq/ sv = 7. 09 cm2/ m
v = 0. 481 N/ mm2 < v' c + 0. 4 Take spi r al di a. : ø = 10 mm
sv = 20. 0 cm Asv = 7. 85 cm2 > Asvrq - - OK
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0
1
2
3
4
5
6
-100 0 100 200 300 400 500 600 700 800 900 1000
u n
d L e v e l [ m ]
Total Moment [kN.m]
Moment Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.13
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o
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0
1
2
3
4
5
6
-400 -200 0 200 400
u n d L e v e l [ m ]
Shear Force [kN]
Shear Force Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.13
7
8
9
10
11
12
13
14
D e p t h f r o m G
r
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0
1
2
3
4
5
6
-5 0 5 10 15 20 25
n d
L e v e l [ m ]
Deflection [mm]
Deflection Diagram for Tower Type Str±0 (Larsen&Tubro Design) at LocationNo.13
7
8
9
10
11
12
13
14
D e p t h f r o m G
r o u
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
1Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
C12Tower Type Str±0 (Larsen&Tubro Design) at Location 13
Circular column design by PROKON . (CirCol Ver W2.5.03 - 09 Feb 2011)
Design code : BS8110 - 1997
Input tables
LoadCase Description
Ultimate Limit State Design Loads
P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)
1 Compression 1067 601 0 0 0
2 Uplift -924 533 0 0 0
General design parameters and loads:
Ø (mm)
d' (mm)
Lo (m)
fcu (MPa)
fy (MPa)
800
97.5
13.75
40
460
0 2 5 0
5 0 0
7 5 0
750
500
250
0
X X
Y
Y
General design parameters:Given: d = 800 mm d' = 98 mm Lo = 13.750 m fcu = 40 MPa fy = 460 MPa
Therefore:
= Ac d 2
4.
= 800
2
4
×
= 502.7×103
mm²
=d iax' d ia d' -
= 800 97.5-
= 702.500 mm
=d iay' d ia d' -
= 800 97.5-
= 702.500 mm
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
2Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The section is symmetrically reinforced. (3) The specified design axial loads include the self-weight of the column. (4) The design axial loads are taken constant over the height of the column.
Design approach:The column is designed using an iterative procedure: (1) The column design charts are constructed. (2) An area steel is chosen. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment is determined . (5) The steel required for the design axial force and moment is read from the relevant design chart. (6) The procedure is repeated until the convergence of the area steel about the design axis. (7) The area steel perpendicular to the design axis is read from the relevant design chart.
(8) The procedure is repeated for each load case. (9) The critical load case is identified as the case yielding the largest steel area about the design axis.
Through inspection: Load case 2 (Uplift) is critical.
Check column slenderness:End fixity and bracing for bending about the X-X axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßx = 0.95 Table 3.21
End fixity and bracing for bending about the Y-Y axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced. ßy = 0.95 Table 3.21
Effective column height:
=lex ß x Lo.
= .95 13.75×
= 13.062 m
=ley ß y Lo.
= .95 13.75×
= 13.062 m
Column slenderness about both axes:
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
3Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= xlex
d ia
=13.063
.8
= 16.329
= yley
d ia
=13.063
.8
= 16.329
Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4
Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm
= M min emin N .
= .02 -924×
= -18.4800 kNm
Check if the column is slender: 3.8.1.3
x = 16.3 > 15
y = 16.3 > 15
The column is slender.
Check slenderness limit: 3.8.1.7
Lo = 13.750 m < 60 dia' = 48.000 m
Slenderness limit not exceeded.
Initial moments:The initial end moments about the X-X axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 533.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 533× ×- +
= 319.800 kNm
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Job Title
Client
Calcs by Checked by Date
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Internet: http://www.prokon.com
E-Mail : [email protected]
4Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
= M i2 0.4 M 2.
= 0.4 533×
= 213.200 kNm
Mi 0.4M2 = 319.8 kNm
The initial end moments about the Y-Y axis: M1 = Smaller initial end moment = 0.0 kNm M2 = Larger initial end moment = 0.0 kNm
The initial moment near mid-height of the column : 3.8.3.2
= M i 0.4 M 1 0.6 M 2. .- +
= 0.4 0 0.6 0× ×- +
= 0.0000×100
kNm
= M i2 0.4 M 2.
= 0.4 0×
= 0.0000×100
kNm
Mi 0.4M2 = 0.0 kNm
Deflection induced moments: 3.8.3.1
Design ultimate capacity of section under axial load only:
= N uz 0.4444 f cu Ac 0.95 f y Asc. . . . +
= 0.4444 40000 .50265 0.95 460000 .0077× × × ×+
= 12.30×103
kN
Maximum allowable stress and strain:
Allowable compression stress in steel
=sc 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile stress in steel
=st 0.95 f y.
= 0.95 460×
= 437.000 MPa
Allowable tensile strain in steel
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Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
5Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
=e y f st
E s
=438.1
200000
= 0.0022
Allowable compressive strain in concrete
ec = 0.0035
Design ultimate load and moment:Design axial load: Pu = -924.0 kN
For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 533.0 kNm
(b) 3.8.3.2
= M M i M add +
= 319.8 0+
= 319.800 kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -924×
= -18.4800 kNm
Thus 3.8.3.2
M = 533.0 kNm
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Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
6Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the X-X: At the top, Mx = 533.0 kNm Near mid-height, Mx = 319.8 kNm At the bottom, Mx = 0.0 kNm
Mxtop=533.0 kNm
Moments about X-X axis( kNm)
Initial Additional Design
Mx=533.0 kNm
Mxmin=-18.5 kNm
+ =
For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2
(a) 3.8.3.2
M 2 = 0.0 kNm
(b) 3.8.3.2
= M M i M add +
= 0 0+
= 0.0000×100
kNm
(c) 3.8.3.2
= M M 1 M add
2+
= 00
2+
= 0.0000×100
kNm
(d) 3.8.3.2
= M emin N .
= .02 -924×
= -18.4800 kNm
Thus 3.8.3.2
M = 0.0 kNm
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Internet: http://www.prokon.com
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7Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Moment distribution along the height of the column for bending about the Y-Y: At the top, My = 0.0 kNm Near mid-height, My = 0.0 kNm At the bottom, My = 0.0 kNm
Mytop=0.0 kNm
Moments about Y-Y axis( kNm)
Initial Additional Design
My=0.0 kNm
Mymin=-18.5 kNm
+ =
Design of column section for ULS:Through inspection: The critical section lies at the top end of the column.
The column is designed to withstand the uni-axially applied moment aboutthe major axis.
For bending about the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the X-X axis: From the design chart, Asc = 7705 = 1.53%
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Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
8Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
For bending perpendicular to the design axis:
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0
k N
-12E3
-10E3
-8000-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Reinforcement required about the Y-Y axis: From the design chart, Asc = 2109
Column design chart
M o m e n t m a x = 3 0 5 5 k N m @ 4
1 6 0 k N
-12E3
-10E3
-8000
-6000
-4000
-2000
2000
4000
6000
8000
10E3
12E3
14E3
16E3
18E3
20E3
22E3
2 0 0
4 0 0
6 0 0
8 0 0
1 0 0 0
1 2 0 0
1 4 0 0
1 6 0 0
1 8 0 0
2 0 0 0
2 2 0 0
2 4 0 0
2 6 0 0
2 8 0 0
3 0 0 0
3 2 0 0
3 4 0 0
3 6 0 0
A x i a l L o a d ( k N )
Bending Moment (kNm)
6%5%4%3%2%1%0%
Design chart for bending about any axis:
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SheetJob Number
Job Title
Client
Calcs by Checked by Date
Software Consultants (Pty) Ltd
Internet: http://www.prokon.com
E-Mail : [email protected]
9Contract N-11304
220kV OHL Qusahwira - ADCO
TRANSCO Abu Dhabi
GP DM 07.05.2012
Summary of design calculations:
Design results for all load cases:
Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Asc (mm²)
1
2
X-XY-Y 1067.0
0.00.0
601.00.0
360.60.0
113.8113.8
X-XTop
601.056.9 603.7
2835 (0.56%)
X-XY-Y -924.0
0.00.0
533.00.0
319.80.0
0.00.0
X-XTop
533.00.0 533.0
7705 (1.53%)
Load case 2 (Uplift) is critical.
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REFERENCES
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