Download - Slab analysis and design.xlsx
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Two - Way Slab [Coefficient Method]
SLAB NO. 1 CASE NO. 4 ( TWO - END CONTINUOUS )
DESIGN DATA
3980.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 83.111 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1.100 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1.0" .80
9."8" ,%
9."8" ,%
m !
% & '()*+
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
*('. /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0()+0 /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(122 /N(%
TOTAL POSITIVE MOMENTS
)(33 /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2()0)0*)* /N(%
!NG S,AN
NEGATIVE MOMENTS
3(3) /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0('30 /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(1. /N(%
TOTAL POSITIVE MOMENTS
1(1+. /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(20.00+0 /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! 8.#1# ,N.m
0.0
0.0
0.041
> ! 0.0043 0.003
A ! >' 0.0"9
A ! 3"0.9
'
as ( "
S ! 1000% = AS ! 3#".3 mm
5ay S & 03' %%
n !
n ! ".84 c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! .94 ,N.m
0.0
0.0
0.0""
> ! 0.0049 0.003
A ! >' 0.0"9
A ! 30".
'
as ( "S ! 1000% = A
S ! 33. mm
5ay S & 0*' %%
n !
n ! ".8 c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! .104 ,N.m
0.0#
0.0#0.0#31
> ! 0.003 0.003
A ! >' 0.0"9
A ! "#.98
'
as ( "
S ! 1000% = A
S ! 4"#."1 mm
5ay S & .23 %%
n !n ! ".3# c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! #.#18 ,N.m
0.00.0
0.0#90
> ! 0.0040 0.003
A ! >' 0.0"9
A ! "4.48
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 4#.00 mm
5ay S & .33 %%
n !
n ! ".19 c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 10#.0 mm
5ay S & '3' %%
S ! '3' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.9# c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 11"0.99 mm
5ay S & 2' %%
S ! 2' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.89 c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.10#
'"! ".83
4%c! 0.418
1.31
0.04
% ' c
1.000 -1.9# 0.11
'"! ".83
4%c! 0.49
1."3
0.0" Note
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% ' c
1.000 -1.9# 0.08
'"! ".83
4%c! 0.349
1.4"
0.0#3
% ' c
1.000 -1.9# 0.09
'"! ".834%c! 0.38
1.3
0.0#9
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.LL !C%.LL : W:L"
.LL !C'.LL : W:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%. LL 0.03 0.0" 0.0" C'. LL 0.03 0.0" 0.03"
#0 C%. LL 0.040 0.030 0.031
C'. LL 0.033 0.0"# 0.0"9
00 C%. LL 0.04# 0.034 0.03#
C'. LL 0.0"9 0.0"" 0.0"
#0 C%. LL 0.0#0 0.03 0.040
C'. LL 0.0" 0.019 0.0"4
00 C%. LL 0.0# 0.041 0.04#
C'. LL 0.0"3 0.01 0.0""
#0 C%. LL 0.01 0.04# 0.0#1
C'. LL 0.019 0.014 0.019
00 C%. LL 0.08 0.049 0.0# C'. LL 0.01 0.01" 0.01
#0 C%. LL 0.04 0.0#3 0.04
C'. LL 0.013 0.010 0.014
00 C%. LL 0.081 0.0#8 0.01
C'. LL 0.010 0.00 0.011
#0 C%. LL 0.088 0.0" 0.080
C'. LL 0.008 0.00 0.009
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00 C%. LL 0.09# 0.0 0.088
C'. LL 0.00 0.004 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Ratio of oad w in a
%t&o C%e 1 C%e " C%e 3
m!L=L'
1.00 W% 0.#00 0.#00 0.10
W' 0.#00 0.#00 0.830
0.9# W% 0.##0 0.##0 0."00
W' 0.4#0 0.4#0 0.8000.90 W% 0.00 0.00 0."30
W' 0.400 0.400 0.0
0.8# W% 0.0 0.0 0."80
W' 0.340 0.340 0."0
0.80 W% 0.10 0.10 0.330
W' 0."90 0."90 0.0
0.# W% 0.0 0.0 0.390
W' 0."40 0."40 0.10
0.0 W% 0.810 0.810 0.#0
W' 0.190 0.190 0.##0
0.# W% 0.8#0 0.8#0 0.#30
W' 0.1#0 0.1#0 0.400.0 W% 0.890 0.890 0.10
W' 0.110 0.110 0.390
0.## W% 0.9"0 0.9"0 0.90
W' 0.080 0.080 0.310
0.#0 W% 0.940 0.940 0.0
W' 0.00 0.00 0."40
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
&n&c%te % 5ort %t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
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fficient5 fo8 Ne4ati9e Mo%ent5 in Slab :
6+ere W5 tot%* 5n&orm e% *o% *5 *&e *o
C%e 4 C%e # C%e C%e
0.0#0 0.0# 0.01
0.0#0 0.01
0.0## 0.09 0.0#
0.04# 0.0
0.00 0.080 0.09
0.040 0.0"
0.0 0.08" 0.083
0.034 0.0#
0.01 0.083 0.08
0.0"9 0.0#1
0.0 0.08# 0.0880.0"4 0.044
0.081 0.08 0.091
0.019 0.038
0.08# 0.08 0.093
0.01# 0.031
0.089 0.088
0.03# 0.011 0.09#
0.00
0.09" 0.089 0.09
0.008 0.019
0.094 0.090 0.09
0.0"" 0.000.003
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 Deal-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm e% *o%
C%e 4 C%e # C%e C%e
0.0" 0.0" 0.033 0.0"
0.0" 0.018 0.0" 0.033
0.030 0.0"8 0.03 0.031
0.0"4 0.01# 0.0"4 0.031
0.033 0.0"9 0.039 0.03#
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0.0"" 0.013 0.0"1 0.0"8
0.03 0.031 0.04" 0.040
0.019 0.011 0.01 0.0"#
0.039 0.03" 0.04# 0.04#
0.01 0.009 0.01# 0.0""
0.043 0.033 0.048 0.0#1
0.013 0.00 0.01" 0.0"00.04 0.03# 0.0#1 0.0#8
0.011 0.00# 0.009 0.01
0.0#0 0.03 0.0#4 0.0#
0.009 0.004 0.00 0.014
0.0#3 0.03 0.0# 0.03
0.00 0.003 0.00 0.01"
0.0# 0.038 0.0#8 0.081
0.00# 0.00" 0.004 0.009
0.0#9 0.039 0.01 0.089
0.004 0.001 0.003 0.00
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 i9e-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm *&e *o%
C%e 4 C%e # C%e C%e
0.03" 0.03" 0.03# 0.03"0.03" 0.0" 0.03" 0.03#
0.03# 0.034 0.038 0.03
0.0"9 0.0"4 0.0"9 0.03"
0.039 0.03 0.04" 0.040
0.0" 0.0"1 0.0"# 0.0"9
0.043 0.041 0.04 0.04#
0.0"3 0.019 0.0"" 0.0"
0.048 0.044 0.0#1 0.0#1
0.0"0 0.01 0.019 0.0"3
0.0#" 0.04 0.0## 0.0#
0.01 0.013 0.01 0.0"0
0.0# 0.0#1 0.00 0.030.014 0.011 0.013 0.01
0.0" 0.0## 0.04 0.00
0.011 0.009 0.010 0.014
0.0 0.0#9 0.08 0.0
0.009 0.00 0.008 0.011
0.0" 0.03 0.03 0.08#
0.00 0.00# 0.00 0.009
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0.0 0.0 0.08 0.09"
0.00# 0.004 0.00# 0.00
5nm%r,e ee &n&c%te % 5ort
and b Di8ection fo8 Shea8 in Slab and oad on S;66o8t5 :
C%e 4 C%e # C%e C%e
0.#00 0.830 0.10 0."90
0.#00 0.10 0."90 0.10
0.##0 0.80 0.#0 0.330
0.4#0 0.140 0."#0 0.00.00 0.880 0.90 0.380
0.400 0.1"0 0."10 0."0
0.0 0.900 0.830 0.430
0.340 0.100 0.10 0.#0
0.10 0.9"0 0.80 0.490
0."90 0.080 0.140 0.#10
0.0 0.940 0.880 0.#0
0."40 0.00 0.1"0 0.440
0.810 0.9#0 0.910 0."0
0.190 0.0#0 0.090 0.380
0.8#0 0.90 0.930 0.90
0.1#0 0.040 0.00 0.3100.890 0.90 0.9#0 0.0
0.110 0.030 0.0#0 0."40
0.9"0 0.980 0.90 0.810
0.080 0.0"0 0.040 0.190
0.940 0.990 0.90 0.80
0.00 0.010 0.030 0.140
5nm%r,e ee
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C%e 8 C%e 9
0.033 0.01
0.01 0.033
0.038 0.0#
0.0# 0.0"9
0.043 0.08
0.0#" 0.0"#
0.049 0.0"
0.04 0.0"1
0.01 0.0#
0.041 0.01
0.01 0.0#0.03 0.014
0.08 0.081
0.0"9 0.011
0.04 0.083
0.0"4 0.008
0.080 0.08#
0.0"4 0.018
0.08# 0.08
0.014 0.00#
0.089 0.088
0.014 0.010
C%e 8 C%e 9
0.0"0 0.0"3
0.0"3 0.0"0
0.0"" 0.0"4
0.0"1 0.01
0.0"# 0.0"
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0.019 0.01#
0.0"9 0.0"8
0.01 0.013
0.03" 0.0"9
0.01# 0.010
0.03 0.031
0.013 0.000.040 0.033
0.011 0.00
0.044 0.034
0.009 0.00#
0.048 0.03
0.00 0.004
0.0#" 0.03
0.00# 0.003
0.0# 0.038
0.004 0.00"
C%e 8 C%e 9
0.0"8 0.0300.030 0.0"8
0.031 0.03"
0.0" 0.0"#
0.03# 0.03
0.0"4 0.0""
0.040 0.039
0.0"" 0.0"0
0.044 0.04"
0.019 0.01
0.049 0.04
0.01 0.013
0.0#4 0.0#00.014 0.011
0.0#9 0.0#4
0.011 0.009
0.0# 0.0#9
0.009 0.00
0.00 0.03
0.00 0.00
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0.0 0.0
0.00# 0.004
C%e 8 C%e 9
0.330 0.0
0.0 0.330
0.380 0.10
0."0 0."900.430 0.#0
0.#0 0."#0
0.490 0.90
0.#10 0."10
0.##0 0.830
0.4#0 0.10
0.10 0.830
0.390 0.140
0.80 0.890
0.3"0 0.110
0.40 0.9"0
0."0 0.0800.800 0.940
0."00 0.00
0.8#0 0.9#0
0.1#0 0.0#0
0.890 0.90
0.110 0.030
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Two - Way Slab [Coefficient Method]
SLAB NO. " CASE NO. 8 ( THEE - END CONTINUOUS )
DESIGN DATA
4000.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 83.333 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1."00 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1."" .80
9.40" ,%
9.40" ,%
m !
% & '()*3
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
3(2+) /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0(' /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(0+ /N(%
TOTAL POSITIVE MOMENTS
*(.2+ /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(.*10*)* /N(%
!NG S,AN
NEGATIVE MOMENTS
*(0*2 /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
2(*') /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(.1' /N(%
TOTAL POSITIVE MOMENTS
1(1) /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2('31'')+1 /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! .4"9 ,N.m
0.0#
0.0#
0.0##
> ! 0.0038 0.003
A ! >' 0.0"9
A ! "8.#9
'
as ( "
S ! 1000% = AS ! 40#.9 mm
5ay S & .'3 %%
n !
n ! ".4 c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! .18 ,N.m
0.0
0.0
0.03
> ! 0.004# 0.003
A ! >' 0.0"9
A ! ".8
'
as ( "S ! 1000% = A
S ! 40.03 mm
5ay S & .'3 %%
n !
n ! ".4 c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! #."98 ,N.m
0.04
0.040.0393
> ! 0.00" 0.003
A ! >' 0.0"9
A ! "#0."4
'
as ( "
S ! 1000% = A
S ! 4#1.9# mm
5ay S & .'' %%
n !n ! "."1 c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! .3" ,N.m
0.080.08
0.099
> ! 0.00#4 0.003
A ! >' 0.0"9
A ! 334.88
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 33.3 mm
5ay S & 003 %%
n !
n ! ".9 c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1"1.89 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.8" c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1""1.08 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.8" c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.091
'"! ".83
4%c! 0.3#
1.39
0.0#
% ' c
1.000 -1.9# 0.108
'"! ".83
4%c! 0.43"
1."9
0.0 Note
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% ' c
1.000 -1.9# 0.0#
'"! ".83
4%c! 0."0
1.#
0.039
% ' c
1.000 -1.9# 0.1"9
'"! ".834%c! 0.#1
1.1#
0.080
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.LL !C%.LL : W:L"
.LL !C'.LL : W:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%. LL 0.03 0.0" 0.0" C'. LL 0.03 0.0" 0.03"
#0 C%. LL 0.040 0.030 0.031
C'. LL 0.033 0.0"# 0.0"9
00 C%. LL 0.04# 0.034 0.03#
C'. LL 0.0"9 0.0"" 0.0"
#0 C%. LL 0.0#0 0.03 0.040
C'. LL 0.0" 0.019 0.0"4
00 C%. LL 0.0# 0.041 0.04#
C'. LL 0.0"3 0.01 0.0""
#0 C%. LL 0.01 0.04# 0.0#1
C'. LL 0.019 0.014 0.019
00 C%. LL 0.08 0.049 0.0# C'. LL 0.01 0.01" 0.01
#0 C%. LL 0.04 0.0#3 0.04
C'. LL 0.013 0.010 0.014
00 C%. LL 0.081 0.0#8 0.01
C'. LL 0.010 0.00 0.011
#0 C%. LL 0.088 0.0" 0.080
C'. LL 0.008 0.00 0.009
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00 C%. LL 0.09# 0.0 0.088
C'. LL 0.00 0.004 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Ratio of oad w in a
%t&o C%e 1 C%e " C%e 3
m!L=L'
1.00 W% 0.#00 0.#00 0.10
W' 0.#00 0.#00 0.830
0.9# W% 0.##0 0.##0 0."00
W' 0.4#0 0.4#0 0.8000.90 W% 0.00 0.00 0."30
W' 0.400 0.400 0.0
0.8# W% 0.0 0.0 0."80
W' 0.340 0.340 0."0
0.80 W% 0.10 0.10 0.330
W' 0."90 0."90 0.0
0.# W% 0.0 0.0 0.390
W' 0."40 0."40 0.10
0.0 W% 0.810 0.810 0.#0
W' 0.190 0.190 0.##0
0.# W% 0.8#0 0.8#0 0.#30
W' 0.1#0 0.1#0 0.400.0 W% 0.890 0.890 0.10
W' 0.110 0.110 0.390
0.## W% 0.9"0 0.9"0 0.90
W' 0.080 0.080 0.310
0.#0 W% 0.940 0.940 0.0
W' 0.00 0.00 0."40
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
&n&c%te % 5ort %t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
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fficient5 fo8 Ne4ati9e Mo%ent5 in Slab :
6+ere W5 tot%* 5n&orm e% *o% *5 *&e *o
C%e 4 C%e # C%e C%e
0.0#0 0.0# 0.01
0.0#0 0.01
0.0## 0.09 0.0#
0.04# 0.0
0.00 0.080 0.09
0.040 0.0"
0.0 0.08" 0.083
0.034 0.0#
0.01 0.083 0.08
0.0"9 0.0#1
0.0 0.08# 0.0880.0"4 0.044
0.081 0.08 0.091
0.019 0.038
0.08# 0.08 0.093
0.01# 0.031
0.089 0.088
0.03# 0.011 0.09#
0.00
0.09" 0.089 0.09
0.008 0.019
0.094 0.090 0.09
0.0"" 0.000.003
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 Deal-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm e% *o%
C%e 4 C%e # C%e C%e
0.0" 0.0" 0.033 0.0"
0.0" 0.018 0.0" 0.033
0.030 0.0"8 0.03 0.031
0.0"4 0.01# 0.0"4 0.031
0.033 0.0"9 0.039 0.03#
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0.0"" 0.013 0.0"1 0.0"8
0.03 0.031 0.04" 0.040
0.019 0.011 0.01 0.0"#
0.039 0.03" 0.04# 0.04#
0.01 0.009 0.01# 0.0""
0.043 0.033 0.048 0.0#1
0.013 0.00 0.01" 0.0"00.04 0.03# 0.0#1 0.0#8
0.011 0.00# 0.009 0.01
0.0#0 0.03 0.0#4 0.0#
0.009 0.004 0.00 0.014
0.0#3 0.03 0.0# 0.03
0.00 0.003 0.00 0.01"
0.0# 0.038 0.0#8 0.081
0.00# 0.00" 0.004 0.009
0.0#9 0.039 0.01 0.089
0.004 0.001 0.003 0.00
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 i9e-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm *&e *o%
C%e 4 C%e # C%e C%e
0.03" 0.03" 0.03# 0.03"0.03" 0.0" 0.03" 0.03#
0.03# 0.034 0.038 0.03
0.0"9 0.0"4 0.0"9 0.03"
0.039 0.03 0.04" 0.040
0.0" 0.0"1 0.0"# 0.0"9
0.043 0.041 0.04 0.04#
0.0"3 0.019 0.0"" 0.0"
0.048 0.044 0.0#1 0.0#1
0.0"0 0.01 0.019 0.0"3
0.0#" 0.04 0.0## 0.0#
0.01 0.013 0.01 0.0"0
0.0# 0.0#1 0.00 0.030.014 0.011 0.013 0.01
0.0" 0.0## 0.04 0.00
0.011 0.009 0.010 0.014
0.0 0.0#9 0.08 0.0
0.009 0.00 0.008 0.011
0.0" 0.03 0.03 0.08#
0.00 0.00# 0.00 0.009
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0.0 0.0 0.08 0.09"
0.00# 0.004 0.00# 0.00
5nm%r,e ee &n&c%te % 5ort
and b Di8ection fo8 Shea8 in Slab and oad on S;66o8t5 :
C%e 4 C%e # C%e C%e
0.#00 0.830 0.10 0."90
0.#00 0.10 0."90 0.10
0.##0 0.80 0.#0 0.330
0.4#0 0.140 0."#0 0.00.00 0.880 0.90 0.380
0.400 0.1"0 0."10 0."0
0.0 0.900 0.830 0.430
0.340 0.100 0.10 0.#0
0.10 0.9"0 0.80 0.490
0."90 0.080 0.140 0.#10
0.0 0.940 0.880 0.#0
0."40 0.00 0.1"0 0.440
0.810 0.9#0 0.910 0."0
0.190 0.0#0 0.090 0.380
0.8#0 0.90 0.930 0.90
0.1#0 0.040 0.00 0.3100.890 0.90 0.9#0 0.0
0.110 0.030 0.0#0 0."40
0.9"0 0.980 0.90 0.810
0.080 0.0"0 0.040 0.190
0.940 0.990 0.90 0.80
0.00 0.010 0.030 0.140
5nm%r,e ee
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C%e 8 C%e 9
0.033 0.01
0.01 0.033
0.038 0.0#
0.0# 0.0"9
0.043 0.08
0.0#" 0.0"#
0.049 0.0"
0.04 0.0"1
0.01 0.0#
0.041 0.01
0.01 0.0#0.03 0.014
0.08 0.081
0.0"9 0.011
0.04 0.083
0.0"4 0.008
0.080 0.08#
0.0"4 0.018
0.08# 0.08
0.014 0.00#
0.089 0.088
0.014 0.010
C%e 8 C%e 9
0.0"0 0.0"3
0.0"3 0.0"0
0.0"" 0.0"4
0.0"1 0.01
0.0"# 0.0"
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0.019 0.01#
0.0"9 0.0"8
0.01 0.013
0.03" 0.0"9
0.01# 0.010
0.03 0.031
0.013 0.000.040 0.033
0.011 0.00
0.044 0.034
0.009 0.00#
0.048 0.03
0.00 0.004
0.0#" 0.03
0.00# 0.003
0.0# 0.038
0.004 0.00"
C%e 8 C%e 9
0.0"8 0.0300.030 0.0"8
0.031 0.03"
0.0" 0.0"#
0.03# 0.03
0.0"4 0.0""
0.040 0.039
0.0"" 0.0"0
0.044 0.04"
0.019 0.01
0.049 0.04
0.01 0.013
0.0#4 0.0#00.014 0.011
0.0#9 0.0#4
0.011 0.009
0.0# 0.0#9
0.009 0.00
0.00 0.03
0.00 0.00
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0.0 0.0
0.00# 0.004
C%e 8 C%e 9
0.330 0.0
0.0 0.330
0.380 0.10
0."0 0."900.430 0.#0
0.#0 0."#0
0.490 0.90
0.#10 0."10
0.##0 0.830
0.4#0 0.10
0.10 0.830
0.390 0.140
0.80 0.890
0.3"0 0.110
0.40 0.9"0
0."0 0.0800.800 0.940
0."00 0.00
0.8#0 0.9#0
0.1#0 0.0#0
0.890 0.90
0.110 0.030
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Two - Way Slab [Coefficient Method]
SLAB NO. 3 CASE NO. 8 ( THEE - END CONTINUOUS )
DESIGN DATA
4000.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 83.333 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1.100 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1.0" .80
9."8" ,%
9."8" ,%
m !
% & '()*3
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
3(20 /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0('*' /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(21. /N(%
TOTAL POSITIVE MOMENTS
*(00. /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(...**0* /N(%
!NG S,AN
NEGATIVE MOMENTS
*(2** /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
2(1*0 /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(.1 /N(%
TOTAL POSITIVE MOMENTS
1(')+ /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2('2+*1)+1 /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! .334 ,N.m
0.0#
0.0#
0.0#49
> ! 0.003 0.003
A ! >' 0.0"9
A ! "4.91
'
as ( "
S ! 1000% = AS ! 411.40 mm
5ay S & .' %%
n !
n ! ".43 c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! .089 ,N.m
0.0
0.0
0.0#4
> ! 0.0044 0.003
A ! >' 0.0"9
A ! "4.1
'
as ( "S ! 1000% = A
S ! 41".#1 mm
5ay S & .' %%
n !
n ! ".4" c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! #."31 ,N.m
0.04
0.040.0388
> ! 0.00" 0.003
A ! >' 0.0"9
A ! "#0."4
'
as ( "
S ! 1000% = A
S ! 4#1.9# mm
5ay S & .'' %%
n !n ! "."1 c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! ." ,N.m
0.080.08
0.088
> ! 0.00#3 0.003
A ! >' 0.0"9
A ! 330.38
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 34".3" mm
5ay S & 0.' %%
n !
n ! ".9" c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1"34.19 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.81 c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1"3.#3 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.81 c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.090
'"! ".83
4%c! 0.30
1.40
0.0##
% ' c
1.000 -1.9# 0.10
'"! ".83
4%c! 0.4"
1.30
0.0# Note
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% ' c
1.000 -1.9# 0.04
'"! ".83
4%c! 0."#
1.#
0.039
% ' c
1.000 -1.9# 0.1"
'"! ".834%c! 0.#09
1.1
0.09
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.LL !C%.LL : W:L"
.LL !C'.LL : W:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%. LL 0.03 0.0" 0.0" C'. LL 0.03 0.0" 0.03"
#0 C%. LL 0.040 0.030 0.031
C'. LL 0.033 0.0"# 0.0"9
00 C%. LL 0.04# 0.034 0.03#
C'. LL 0.0"9 0.0"" 0.0"
#0 C%. LL 0.0#0 0.03 0.040
C'. LL 0.0" 0.019 0.0"4
00 C%. LL 0.0# 0.041 0.04#
C'. LL 0.0"3 0.01 0.0""
#0 C%. LL 0.01 0.04# 0.0#1
C'. LL 0.019 0.014 0.019
00 C%. LL 0.08 0.049 0.0# C'. LL 0.01 0.01" 0.01
#0 C%. LL 0.04 0.0#3 0.04
C'. LL 0.013 0.010 0.014
00 C%. LL 0.081 0.0#8 0.01
C'. LL 0.010 0.00 0.011
#0 C%. LL 0.088 0.0" 0.080
C'. LL 0.008 0.00 0.009
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00 C%. LL 0.09# 0.0 0.088
C'. LL 0.00 0.004 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Ratio of oad w in a
%t&o C%e 1 C%e " C%e 3
m!L=L'
1.00 W% 0.#00 0.#00 0.10
W' 0.#00 0.#00 0.830
0.9# W% 0.##0 0.##0 0."00
W' 0.4#0 0.4#0 0.8000.90 W% 0.00 0.00 0."30
W' 0.400 0.400 0.0
0.8# W% 0.0 0.0 0."80
W' 0.340 0.340 0."0
0.80 W% 0.10 0.10 0.330
W' 0."90 0."90 0.0
0.# W% 0.0 0.0 0.390
W' 0."40 0."40 0.10
0.0 W% 0.810 0.810 0.#0
W' 0.190 0.190 0.##0
0.# W% 0.8#0 0.8#0 0.#30
W' 0.1#0 0.1#0 0.400.0 W% 0.890 0.890 0.10
W' 0.110 0.110 0.390
0.## W% 0.9"0 0.9"0 0.90
W' 0.080 0.080 0.310
0.#0 W% 0.940 0.940 0.0
W' 0.00 0.00 0."40
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
&n&c%te % 5ort %t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
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fficient5 fo8 Ne4ati9e Mo%ent5 in Slab :
6+ere W5 tot%* 5n&orm e% *o% *5 *&e *o
C%e 4 C%e # C%e C%e
0.0#0 0.0# 0.01
0.0#0 0.01
0.0## 0.09 0.0#
0.04# 0.0
0.00 0.080 0.09
0.040 0.0"
0.0 0.08" 0.083
0.034 0.0#
0.01 0.083 0.08
0.0"9 0.0#1
0.0 0.08# 0.0880.0"4 0.044
0.081 0.08 0.091
0.019 0.038
0.08# 0.08 0.093
0.01# 0.031
0.089 0.088
0.03# 0.011 0.09#
0.00
0.09" 0.089 0.09
0.008 0.019
0.094 0.090 0.09
0.0"" 0.000.003
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 Deal-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm e% *o%
C%e 4 C%e # C%e C%e
0.0" 0.0" 0.033 0.0"
0.0" 0.018 0.0" 0.033
0.030 0.0"8 0.03 0.031
0.0"4 0.01# 0.0"4 0.031
0.033 0.0"9 0.039 0.03#
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0.0"" 0.013 0.0"1 0.0"8
0.03 0.031 0.04" 0.040
0.019 0.011 0.01 0.0"#
0.039 0.03" 0.04# 0.04#
0.01 0.009 0.01# 0.0""
0.043 0.033 0.048 0.0#1
0.013 0.00 0.01" 0.0"00.04 0.03# 0.0#1 0.0#8
0.011 0.00# 0.009 0.01
0.0#0 0.03 0.0#4 0.0#
0.009 0.004 0.00 0.014
0.0#3 0.03 0.0# 0.03
0.00 0.003 0.00 0.01"
0.0# 0.038 0.0#8 0.081
0.00# 0.00" 0.004 0.009
0.0#9 0.039 0.01 0.089
0.004 0.001 0.003 0.00
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 i9e-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm *&e *o%
C%e 4 C%e # C%e C%e
0.03" 0.03" 0.03# 0.03"0.03" 0.0" 0.03" 0.03#
0.03# 0.034 0.038 0.03
0.0"9 0.0"4 0.0"9 0.03"
0.039 0.03 0.04" 0.040
0.0" 0.0"1 0.0"# 0.0"9
0.043 0.041 0.04 0.04#
0.0"3 0.019 0.0"" 0.0"
0.048 0.044 0.0#1 0.0#1
0.0"0 0.01 0.019 0.0"3
0.0#" 0.04 0.0## 0.0#
0.01 0.013 0.01 0.0"0
0.0# 0.0#1 0.00 0.030.014 0.011 0.013 0.01
0.0" 0.0## 0.04 0.00
0.011 0.009 0.010 0.014
0.0 0.0#9 0.08 0.0
0.009 0.00 0.008 0.011
0.0" 0.03 0.03 0.08#
0.00 0.00# 0.00 0.009
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0.0 0.0 0.08 0.09"
0.00# 0.004 0.00# 0.00
5nm%r,e ee &n&c%te % 5ort
and b Di8ection fo8 Shea8 in Slab and oad on S;66o8t5 :
C%e 4 C%e # C%e C%e
0.#00 0.830 0.10 0."90
0.#00 0.10 0."90 0.10
0.##0 0.80 0.#0 0.330
0.4#0 0.140 0."#0 0.00.00 0.880 0.90 0.380
0.400 0.1"0 0."10 0."0
0.0 0.900 0.830 0.430
0.340 0.100 0.10 0.#0
0.10 0.9"0 0.80 0.490
0."90 0.080 0.140 0.#10
0.0 0.940 0.880 0.#0
0."40 0.00 0.1"0 0.440
0.810 0.9#0 0.910 0."0
0.190 0.0#0 0.090 0.380
0.8#0 0.90 0.930 0.90
0.1#0 0.040 0.00 0.3100.890 0.90 0.9#0 0.0
0.110 0.030 0.0#0 0."40
0.9"0 0.980 0.90 0.810
0.080 0.0"0 0.040 0.190
0.940 0.990 0.90 0.80
0.00 0.010 0.030 0.140
5nm%r,e ee
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C%e 8 C%e 9
0.033 0.01
0.01 0.033
0.038 0.0#
0.0# 0.0"9
0.043 0.08
0.0#" 0.0"#
0.049 0.0"
0.04 0.0"1
0.01 0.0#
0.041 0.01
0.01 0.0#0.03 0.014
0.08 0.081
0.0"9 0.011
0.04 0.083
0.0"4 0.008
0.080 0.08#
0.0"4 0.018
0.08# 0.08
0.014 0.00#
0.089 0.088
0.014 0.010
C%e 8 C%e 9
0.0"0 0.0"3
0.0"3 0.0"0
0.0"" 0.0"4
0.0"1 0.01
0.0"# 0.0"
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0.019 0.01#
0.0"9 0.0"8
0.01 0.013
0.03" 0.0"9
0.01# 0.010
0.03 0.031
0.013 0.000.040 0.033
0.011 0.00
0.044 0.034
0.009 0.00#
0.048 0.03
0.00 0.004
0.0#" 0.03
0.00# 0.003
0.0# 0.038
0.004 0.00"
C%e 8 C%e 9
0.0"8 0.0300.030 0.0"8
0.031 0.03"
0.0" 0.0"#
0.03# 0.03
0.0"4 0.0""
0.040 0.039
0.0"" 0.0"0
0.044 0.04"
0.019 0.01
0.049 0.04
0.01 0.013
0.0#4 0.0#00.014 0.011
0.0#9 0.0#4
0.011 0.009
0.0# 0.0#9
0.009 0.00
0.00 0.03
0.00 0.00
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0.0 0.0
0.00# 0.004
C%e 8 C%e 9
0.330 0.0
0.0 0.330
0.380 0.10
0."0 0."900.430 0.#0
0.#0 0."#0
0.490 0.90
0.#10 0."10
0.##0 0.830
0.4#0 0.10
0.10 0.830
0.390 0.140
0.80 0.890
0.3"0 0.110
0.40 0.9"0
0."0 0.0800.800 0.940
0."00 0.00
0.8#0 0.9#0
0.1#0 0.0#0
0.890 0.90
0.110 0.030
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Two - Way Slab [Coefficient Method]
SLAB NO. 4 CASE NO. 4 ( TWO - END CONTINUOUS )
DESIGN DATA
39"0.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 8".444 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1.100 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1.0" .80
9."8" ,%
9."8" ,%
m !
% & '()+0
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
1(+2' /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0()' /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(3'' /N(%
TOTAL POSITIVE MOMENTS
)(0' /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(*11+323) /N(%
!NG S,AN
NEGATIVE MOMENTS
3(3)0 /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0('** /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(1.* /N(%
TOTAL POSITIVE MOMENTS
1(*2. /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(2..3+' /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! 8.301 ,N.m
0.0
0.0
0.0"#
> ! 0.004" 0.003
A ! >' 0.0"9
A ! 31".#
'
as ( "
S ! 1000% = AS ! 31.83 mm
5ay S & 01' %%
n !
n ! ". c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! ."4 ,N.m
0.0
0.0
0.0"#
> ! 0.0049 0.003
A ! >' 0.0"9
A ! 304.09
'
as ( "S ! 1000% = A
S ! 31.9" mm
5ay S & 0*' %%
n !
n ! ".9 c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! .9"0 ,N.m
0.0#
0.0#0.0#1
> ! 0.003# 0.003
A ! >' 0.0"9
A ! "#8.88
'
as ( "
S ! 1000% = A
S ! 43.8 mm
5ay S & .'' %%
n !n ! "."9 c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! #.#83 ,N.m
0.00.0
0.0#9
> ! 0.0040 0.003
A ! >' 0.0"9
A ! "#0.#"
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 4#1.4 mm
5ay S & .'' %%
n !
n ! "."" c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 108#.48 mm
5ay S & ')' %%
S ! ')' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.9" c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 111#.# mm
5ay S & '' %%
S ! '' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.90 c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.10"
'"! ".83
4%c! 0.408
1.3"
0.0"
% ' c
1.000 -1.9# 0.118
'"! ".83
4%c! 0.41
1.""
0.03 Note
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% ' c
1.000 -1.9# 0.08#
'"! ".83
4%c! 0.340
1.43
0.0#"
% ' c
1.000 -1.9# 0.098
'"! ".834%c! 0.391
1.3#
0.00
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.LL !C%.LL : W:L"
.LL !C'.LL : W:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%. LL 0.03 0.0" 0.0" C'. LL 0.03 0.0" 0.03"
#0 C%. LL 0.040 0.030 0.031
C'. LL 0.033 0.0"# 0.0"9
00 C%. LL 0.04# 0.034 0.03#
C'. LL 0.0"9 0.0"" 0.0"
#0 C%. LL 0.0#0 0.03 0.040
C'. LL 0.0" 0.019 0.0"4
00 C%. LL 0.0# 0.041 0.04#
C'. LL 0.0"3 0.01 0.0""
#0 C%. LL 0.01 0.04# 0.0#1
C'. LL 0.019 0.014 0.019
00 C%. LL 0.08 0.049 0.0# C'. LL 0.01 0.01" 0.01
#0 C%. LL 0.04 0.0#3 0.04
C'. LL 0.013 0.010 0.014
00 C%. LL 0.081 0.0#8 0.01
C'. LL 0.010 0.00 0.011
#0 C%. LL 0.088 0.0" 0.080
C'. LL 0.008 0.00 0.009
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00 C%. LL 0.09# 0.0 0.088
C'. LL 0.00 0.004 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Ratio of oad w in a
%t&o C%e 1 C%e " C%e 3
m!L=L'
1.00 W% 0.#00 0.#00 0.10
W' 0.#00 0.#00 0.830
0.9# W% 0.##0 0.##0 0."00
W' 0.4#0 0.4#0 0.8000.90 W% 0.00 0.00 0."30
W' 0.400 0.400 0.0
0.8# W% 0.0 0.0 0."80
W' 0.340 0.340 0."0
0.80 W% 0.10 0.10 0.330
W' 0."90 0."90 0.0
0.# W% 0.0 0.0 0.390
W' 0."40 0."40 0.10
0.0 W% 0.810 0.810 0.#0
W' 0.190 0.190 0.##0
0.# W% 0.8#0 0.8#0 0.#30
W' 0.1#0 0.1#0 0.400.0 W% 0.890 0.890 0.10
W' 0.110 0.110 0.390
0.## W% 0.9"0 0.9"0 0.90
W' 0.080 0.080 0.310
0.#0 W% 0.940 0.940 0.0
W' 0.00 0.00 0."40
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
&n&c%te % 5ort %t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
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fficient5 fo8 Ne4ati9e Mo%ent5 in Slab :
6+ere W5 tot%* 5n&orm e% *o% *5 *&e *o
C%e 4 C%e # C%e C%e
0.0#0 0.0# 0.01
0.0#0 0.01
0.0## 0.09 0.0#
0.04# 0.0
0.00 0.080 0.09
0.040 0.0"
0.0 0.08" 0.083
0.034 0.0#
0.01 0.083 0.08
0.0"9 0.0#1
0.0 0.08# 0.0880.0"4 0.044
0.081 0.08 0.091
0.019 0.038
0.08# 0.08 0.093
0.01# 0.031
0.089 0.088
0.03# 0.011 0.09#
0.00
0.09" 0.089 0.09
0.008 0.019
0.094 0.090 0.09
0.0"" 0.000.003
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 Deal-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm e% *o%
C%e 4 C%e # C%e C%e
0.0" 0.0" 0.033 0.0"
0.0" 0.018 0.0" 0.033
0.030 0.0"8 0.03 0.031
0.0"4 0.01# 0.0"4 0.031
0.033 0.0"9 0.039 0.03#
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0.0"" 0.013 0.0"1 0.0"8
0.03 0.031 0.04" 0.040
0.019 0.011 0.01 0.0"#
0.039 0.03" 0.04# 0.04#
0.01 0.009 0.01# 0.0""
0.043 0.033 0.048 0.0#1
0.013 0.00 0.01" 0.0"00.04 0.03# 0.0#1 0.0#8
0.011 0.00# 0.009 0.01
0.0#0 0.03 0.0#4 0.0#
0.009 0.004 0.00 0.014
0.0#3 0.03 0.0# 0.03
0.00 0.003 0.00 0.01"
0.0# 0.038 0.0#8 0.081
0.00# 0.00" 0.004 0.009
0.0#9 0.039 0.01 0.089
0.004 0.001 0.003 0.00
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 i9e-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm *&e *o%
C%e 4 C%e # C%e C%e
0.03" 0.03" 0.03# 0.03"0.03" 0.0" 0.03" 0.03#
0.03# 0.034 0.038 0.03
0.0"9 0.0"4 0.0"9 0.03"
0.039 0.03 0.04" 0.040
0.0" 0.0"1 0.0"# 0.0"9
0.043 0.041 0.04 0.04#
0.0"3 0.019 0.0"" 0.0"
0.048 0.044 0.0#1 0.0#1
0.0"0 0.01 0.019 0.0"3
0.0#" 0.04 0.0## 0.0#
0.01 0.013 0.01 0.0"0
0.0# 0.0#1 0.00 0.030.014 0.011 0.013 0.01
0.0" 0.0## 0.04 0.00
0.011 0.009 0.010 0.014
0.0 0.0#9 0.08 0.0
0.009 0.00 0.008 0.011
0.0" 0.03 0.03 0.08#
0.00 0.00# 0.00 0.009
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0.0 0.0 0.08 0.09"
0.00# 0.004 0.00# 0.00
5nm%r,e ee &n&c%te % 5ort
and b Di8ection fo8 Shea8 in Slab and oad on S;66o8t5 :
C%e 4 C%e # C%e C%e
0.#00 0.830 0.10 0."90
0.#00 0.10 0."90 0.10
0.##0 0.80 0.#0 0.330
0.4#0 0.140 0."#0 0.00.00 0.880 0.90 0.380
0.400 0.1"0 0."10 0."0
0.0 0.900 0.830 0.430
0.340 0.100 0.10 0.#0
0.10 0.9"0 0.80 0.490
0."90 0.080 0.140 0.#10
0.0 0.940 0.880 0.#0
0."40 0.00 0.1"0 0.440
0.810 0.9#0 0.910 0."0
0.190 0.0#0 0.090 0.380
0.8#0 0.90 0.930 0.90
0.1#0 0.040 0.00 0.3100.890 0.90 0.9#0 0.0
0.110 0.030 0.0#0 0."40
0.9"0 0.980 0.90 0.810
0.080 0.0"0 0.040 0.190
0.940 0.990 0.90 0.80
0.00 0.010 0.030 0.140
5nm%r,e ee
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C%e 8 C%e 9
0.033 0.01
0.01 0.033
0.038 0.0#
0.0# 0.0"9
0.043 0.08
0.0#" 0.0"#
0.049 0.0"
0.04 0.0"1
0.01 0.0#
0.041 0.01
0.01 0.0#0.03 0.014
0.08 0.081
0.0"9 0.011
0.04 0.083
0.0"4 0.008
0.080 0.08#
0.0"4 0.018
0.08# 0.08
0.014 0.00#
0.089 0.088
0.014 0.010
C%e 8 C%e 9
0.0"0 0.0"3
0.0"3 0.0"0
0.0"" 0.0"4
0.0"1 0.01
0.0"# 0.0"
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0.019 0.01#
0.0"9 0.0"8
0.01 0.013
0.03" 0.0"9
0.01# 0.010
0.03 0.031
0.013 0.000.040 0.033
0.011 0.00
0.044 0.034
0.009 0.00#
0.048 0.03
0.00 0.004
0.0#" 0.03
0.00# 0.003
0.0# 0.038
0.004 0.00"
C%e 8 C%e 9
0.0"8 0.0300.030 0.0"8
0.031 0.03"
0.0" 0.0"#
0.03# 0.03
0.0"4 0.0""
0.040 0.039
0.0"" 0.0"0
0.044 0.04"
0.019 0.01
0.049 0.04
0.01 0.013
0.0#4 0.0#00.014 0.011
0.0#9 0.0#4
0.011 0.009
0.0# 0.0#9
0.009 0.00
0.00 0.03
0.00 0.00
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0.0 0.0
0.00# 0.004
C%e 8 C%e 9
0.330 0.0
0.0 0.330
0.380 0.10
0."0 0."900.430 0.#0
0.#0 0."#0
0.490 0.90
0.#10 0."10
0.##0 0.830
0.4#0 0.10
0.10 0.830
0.390 0.140
0.80 0.890
0.3"0 0.110
0.40 0.9"0
0."0 0.0800.800 0.940
0."00 0.00
0.8#0 0.9#0
0.1#0 0.0#0
0.890 0.90
0.110 0.030
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Two - Way Slab [Coefficient Method]
SLAB NO. # CASE NO. 4 ( TWO - END CONTINUOUS )
DESIGN DATA
39"0.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 8".444 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1.100 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1.0" .80
9."8" ,%
9."8" ,%
m !
% & '()+0
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
1(+2' /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0()' /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(3'' /N(%
TOTAL POSITIVE MOMENTS
)(0' /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(*11+323) /N(%
!NG S,AN
NEGATIVE MOMENTS
3(3)0 /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0('** /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(1.* /N(%
TOTAL POSITIVE MOMENTS
1(*2. /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(2..3+' /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! 8.301 ,N.m
0.0
0.0
0.0"#
> ! 0.004" 0.003
A ! >' 0.0"9
A ! 31".#
'
as ( "
S ! 1000% = AS ! 31.83 mm
5ay S & 01' %%
n !
n ! ". c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! ."4 ,N.m
0.0
0.0
0.0"#
> ! 0.0049 0.003
A ! >' 0.0"9
A ! 304.09
'
as ( "S ! 1000% = A
S ! 31.9" mm
5ay S & 0*' %%
n !
n ! ".9 c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! .9"0 ,N.m
0.0#
0.0#0.0#1
> ! 0.003# 0.003
A ! >' 0.0"9
A ! "#8.88
'
as ( "
S ! 1000% = A
S ! 43.8 mm
5ay S & .'' %%
n !n ! "."9 c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! #.#83 ,N.m
0.00.0
0.0#9
> ! 0.0040 0.003
A ! >' 0.0"9
A ! "#0.#"
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 4#1.4 mm
5ay S & .'' %%
n !
n ! "."" c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 108#.48 mm
5ay S & ')' %%
S ! ')' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.9" c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 111#.# mm
5ay S & '' %%
S ! '' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.90 c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.10"
'"! ".83
4%c! 0.408
1.3"
0.0"
% ' c
1.000 -1.9# 0.118
'"! ".83
4%c! 0.41
1.""
0.03 Note
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% ' c
1.000 -1.9# 0.08#
'"! ".83
4%c! 0.340
1.43
0.0#"
% ' c
1.000 -1.9# 0.098
'"! ".834%c! 0.391
1.3#
0.00
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.LL !C%.LL : W:L"
.LL !C'.LL : W:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%. LL 0.03 0.0" 0.0" C'. LL 0.03 0.0" 0.03"
#0 C%. LL 0.040 0.030 0.031
C'. LL 0.033 0.0"# 0.0"9
00 C%. LL 0.04# 0.034 0.03#
C'. LL 0.0"9 0.0"" 0.0"
#0 C%. LL 0.0#0 0.03 0.040
C'. LL 0.0" 0.019 0.0"4
00 C%. LL 0.0# 0.041 0.04#
C'. LL 0.0"3 0.01 0.0""
#0 C%. LL 0.01 0.04# 0.0#1
C'. LL 0.019 0.014 0.019
00 C%. LL 0.08 0.049 0.0# C'. LL 0.01 0.01" 0.01
#0 C%. LL 0.04 0.0#3 0.04
C'. LL 0.013 0.010 0.014
00 C%. LL 0.081 0.0#8 0.01
C'. LL 0.010 0.00 0.011
#0 C%. LL 0.088 0.0" 0.080
C'. LL 0.008 0.00 0.009
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00 C%. LL 0.09# 0.0 0.088
C'. LL 0.00 0.004 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Ratio of oad w in a
%t&o C%e 1 C%e " C%e 3
m!L=L'
1.00 W% 0.#00 0.#00 0.10
W' 0.#00 0.#00 0.830
0.9# W% 0.##0 0.##0 0."00
W' 0.4#0 0.4#0 0.8000.90 W% 0.00 0.00 0."30
W' 0.400 0.400 0.0
0.8# W% 0.0 0.0 0."80
W' 0.340 0.340 0."0
0.80 W% 0.10 0.10 0.330
W' 0."90 0."90 0.0
0.# W% 0.0 0.0 0.390
W' 0."40 0."40 0.10
0.0 W% 0.810 0.810 0.#0
W' 0.190 0.190 0.##0
0.# W% 0.8#0 0.8#0 0.#30
W' 0.1#0 0.1#0 0.400.0 W% 0.890 0.890 0.10
W' 0.110 0.110 0.390
0.## W% 0.9"0 0.9"0 0.90
W' 0.080 0.080 0.310
0.#0 W% 0.940 0.940 0.0
W' 0.00 0.00 0."40
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
&n&c%te % 5ort %t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
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fficient5 fo8 Ne4ati9e Mo%ent5 in Slab :
6+ere W5 tot%* 5n&orm e% *o% *5 *&e *o
C%e 4 C%e # C%e C%e
0.0#0 0.0# 0.01
0.0#0 0.01
0.0## 0.09 0.0#
0.04# 0.0
0.00 0.080 0.09
0.040 0.0"
0.0 0.08" 0.083
0.034 0.0#
0.01 0.083 0.08
0.0"9 0.0#1
0.0 0.08# 0.0880.0"4 0.044
0.081 0.08 0.091
0.019 0.038
0.08# 0.08 0.093
0.01# 0.031
0.089 0.088
0.03# 0.011 0.09#
0.00
0.09" 0.089 0.09
0.008 0.019
0.094 0.090 0.09
0.0"" 0.000.003
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 Deal-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm e% *o%
C%e 4 C%e # C%e C%e
0.0" 0.0" 0.033 0.0"
0.0" 0.018 0.0" 0.033
0.030 0.0"8 0.03 0.031
0.0"4 0.01# 0.0"4 0.031
0.033 0.0"9 0.039 0.03#
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0.0"" 0.013 0.0"1 0.0"8
0.03 0.031 0.04" 0.040
0.019 0.011 0.01 0.0"#
0.039 0.03" 0.04# 0.04#
0.01 0.009 0.01# 0.0""
0.043 0.033 0.048 0.0#1
0.013 0.00 0.01" 0.0"00.04 0.03# 0.0#1 0.0#8
0.011 0.00# 0.009 0.01
0.0#0 0.03 0.0#4 0.0#
0.009 0.004 0.00 0.014
0.0#3 0.03 0.0# 0.03
0.00 0.003 0.00 0.01"
0.0# 0.038 0.0#8 0.081
0.00# 0.00" 0.004 0.009
0.0#9 0.039 0.01 0.089
0.004 0.001 0.003 0.00
5nm%r,e ee &n&c%te % 5ort
ent5 fo8 i9e-oad ,o5iti9e Mo%ent5 in Slab:
6+ere 6 tot%* 5n&orm *&e *o%
C%e 4 C%e # C%e C%e
0.03" 0.03" 0.03# 0.03"0.03" 0.0" 0.03" 0.03#
0.03# 0.034 0.038 0.03
0.0"9 0.0"4 0.0"9 0.03"
0.039 0.03 0.04" 0.040
0.0" 0.0"1 0.0"# 0.0"9
0.043 0.041 0.04 0.04#
0.0"3 0.019 0.0"" 0.0"
0.048 0.044 0.0#1 0.0#1
0.0"0 0.01 0.019 0.0"3
0.0#" 0.04 0.0## 0.0#
0.01 0.013 0.01 0.0"0
0.0# 0.0#1 0.00 0.030.014 0.011 0.013 0.01
0.0" 0.0## 0.04 0.00
0.011 0.009 0.010 0.014
0.0 0.0#9 0.08 0.0
0.009 0.00 0.008 0.011
0.0" 0.03 0.03 0.08#
0.00 0.00# 0.00 0.009
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0.0 0.0 0.08 0.09"
0.00# 0.004 0.00# 0.00
5nm%r,e ee &n&c%te % 5ort
and b Di8ection fo8 Shea8 in Slab and oad on S;66o8t5 :
C%e 4 C%e # C%e C%e
0.#00 0.830 0.10 0."90
0.#00 0.10 0."90 0.10
0.##0 0.80 0.#0 0.330
0.4#0 0.140 0."#0 0.00.00 0.880 0.90 0.380
0.400 0.1"0 0."10 0."0
0.0 0.900 0.830 0.430
0.340 0.100 0.10 0.#0
0.10 0.9"0 0.80 0.490
0."90 0.080 0.140 0.#10
0.0 0.940 0.880 0.#0
0."40 0.00 0.1"0 0.440
0.810 0.9#0 0.910 0."0
0.190 0.0#0 0.090 0.380
0.8#0 0.90 0.930 0.90
0.1#0 0.040 0.00 0.3100.890 0.90 0.9#0 0.0
0.110 0.030 0.0#0 0."40
0.9"0 0.980 0.90 0.810
0.080 0.0"0 0.040 0.190
0.940 0.990 0.90 0.80
0.00 0.010 0.030 0.140
5nm%r,e ee
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C%e 8 C%e 9
0.033 0.01
0.01 0.033
0.038 0.0#
0.0# 0.0"9
0.043 0.08
0.0#" 0.0"#
0.049 0.0"
0.04 0.0"1
0.01 0.0#
0.041 0.01
0.01 0.0#0.03 0.014
0.08 0.081
0.0"9 0.011
0.04 0.083
0.0"4 0.008
0.080 0.08#
0.0"4 0.018
0.08# 0.08
0.014 0.00#
0.089 0.088
0.014 0.010
C%e 8 C%e 9
0.0"0 0.0"3
0.0"3 0.0"0
0.0"" 0.0"4
0.0"1 0.01
0.0"# 0.0"
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0.019 0.01#
0.0"9 0.0"8
0.01 0.013
0.03" 0.0"9
0.01# 0.010
0.03 0.031
0.013 0.000.040 0.033
0.011 0.00
0.044 0.034
0.009 0.00#
0.048 0.03
0.00 0.004
0.0#" 0.03
0.00# 0.003
0.0# 0.038
0.004 0.00"
C%e 8 C%e 9
0.0"8 0.0300.030 0.0"8
0.031 0.03"
0.0" 0.0"#
0.03# 0.03
0.0"4 0.0""
0.040 0.039
0.0"" 0.0"0
0.044 0.04"
0.019 0.01
0.049 0.04
0.01 0.013
0.0#4 0.0#00.014 0.011
0.0#9 0.0#4
0.011 0.009
0.0# 0.0#9
0.009 0.00
0.00 0.03
0.00 0.00
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0.0 0.0
0.00# 0.004
C%e 8 C%e 9
0.330 0.0
0.0 0.330
0.380 0.10
0."0 0."900.430 0.#0
0.#0 0."#0
0.490 0.90
0.#10 0."10
0.##0 0.830
0.4#0 0.10
0.10 0.830
0.390 0.140
0.80 0.890
0.3"0 0.110
0.40 0.9"0
0."0 0.0800.800 0.940
0."00 0.00
0.8#0 0.9#0
0.1#0 0.0#0
0.890 0.90
0.110 0.030
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Two - Way Slab [Coefficient Method]
SLAB NO. CASE NO. 8 ( THEE - END CONTINUOUS )
DESIGN DATA
4000.000 mm concrete coer ! "0.000 mm
3#00.000 mm $%&n '%r &%meter ! 1".000 mmm&n *%' t+&c,ne ! 83.333 mm Tem '%r &%meter ! 10.000 mm
c/ ! "8.000 $% tr (t+&c,ne)! 100.000 mm
! 414.000 $%
SERVICE !ADS
Cer%m&c T&*e ! 1.100 2%
W%ter roo&n ! 0.100 2%
DL ! 1.100 2% (ec*5&n t+e 6e&+t o t+e *%')
LL ! 4.800 2%
"3.#40
WEIG"T !# SA$
0."3# ,%
1." DL 7 1. LL
1.0" .80
9."8" ,%
9."8" ,%
m !
% & '()*3
INTER,!ATI!N :;rom t+e t%'*e o coe&c&ent
C
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S"!RT S,AN
NEGATIVE MOMENTS
3(20 /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
0('*' /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
.(21. /N(%
TOTAL POSITIVE MOMENTS
*(00. /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2(...**0* /N(%
!NG S,AN
NEGATIVE MOMENTS
*(2** /N(%
POSITIVE MOMENTS DUE TO DEAD LOAD
2(1*0 /N(%
POSITIVE MOMENTS DUE TO LIVE LOAD
0(.1 /N(%
TOTAL POSITIVE MOMENTS
1(')+ /N(%
Negative Moments at diacontinuous edges equal !" o# $ositive moment
2('2+*1)+1 /N(%
$S ! C
w L
S"
MS &
$SDL
! Cw DL
LS
"
MSD
&
$SLL
! Cw LL
LS
"
MS
&
MST
&
Ne4( MS &
$L ! CLw LL"
M &
$LDL
! CLw
DLL
L"
MD
&
$LLL
! CLw
LLL
L"
M
&
MT
&
Ne4( MS &
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MIDS,AN
S%O&T SPAN
! 4.00 mm
$5 ! .334 ,N.m
0.0#
0.0#
0.0#49
> ! 0.003 0.003
A ! >' 0.0"9
A ! "4.91
'
as ( "
S ! 1000% = AS ! 411.40 mm
5ay S & .'' %%
n !
n ! ".43 c.
5ay n & 0 6c5(
MIDS,AN
LONG SPAN
! ".00 mm
$5 ! .089 ,N.m
0.0
0.0
0.0#4
> ! 0.0044 0.003
A ! >' 0.0"9
A ! "4.1
'
as ( "S ! 1000% = A
S ! 41".#1 mm
5ay S & .'' %%
n !
n ! ".4" c.
5ay n & 0 6c5(
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
Use mm ) *a+
Use mm ) *a+
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C!NTIN7!7S EDGE
S%O&T SPAN
! 4.00 mm
$5 ! #."31 ,N.m
0.04
0.040.0388
> ! 0.00" 0.003
A ! >' 0.0"9
A ! "#0."4
'
as ( "
S ! 1000% = A
S ! 4#1.9# mm
5ay S & .'' %%
n !n ! "."1 c.
5ay n & 0 6c5(
C!NTIN7!7S EDGE
LONG SPAN
! ".00 mm
$5 ! ." ,N.m
0.080.08
0.088
> ! 0.00#3 0.003
A ! >' 0.0"9
A ! 330.38
'
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !
w -0.#9w " !w !
> ! w c/ = >
m&n !
>m%
!
mm"
mm'
AS=%
$5 ! ?c/'"w (1-0.#9w )
com5te or w
w (1-0.#9w ) !w -0.#9w " !
w !
> ! w c/ = >
m&n !
>m%
!
mm"
Use mm ) *a+
Use mm ) *a+
S
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as ( "
S ! 1000% = A
S ! 34".3" mm
5ay S & 0.' %%
n !
n ! ".9" c.5ay n & 0 6c5(
DISC!NTIN7!7S EDGE
S%O&T SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1"34.19 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !n ! 0.81 c.
5ay n & 6c5(
DISC!NTIN7!7S EDGE
LONG SPAN
Use " times t,e s$acng o# mids$an -moment is onl. !" o# mids$an/
S !
S ! 1"3.#3 mm
5ay S & 2'' %%
S ! 2'' @ #00mm (ACI coe)
T,e+e#o+e0 *ent u$ two o# eve+. t,+ee *a+s
#+om t,e *ottom steel
n !
n ! 0.81 c.
5ay n & 6c5(
mm'
AS=%
$IDSAN
AS=%$IDSAN=3
$IDSAN
S%
$IDSAN
S
S
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ColumnStrip
ColumnStrip
MiddleStrip
ColumnStrip
ColumnStrip
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$%. N
$'. N
1.0
0.9
:eer to T%'*e "04 - " ("# mm mort%r 'e) 0.9
0.8
:eer to T%'*e "0# - 1 ( /5n&orm *o%/ %r&e een&n on 5e or occ5%nc) 0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
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0.8
0.8
0.
0.
0.
0.
0.#
0.#
Note
$%.
$'.
1.0
0.9
0.9
0.8
0.8
0.
0.
0.
0.
0.#
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0.#
Note
% ' c
1.000 -1.9# 0.090
'"! ".83
4%c! 0.30
1.40
0.0##
% ' c
1.000 -1.9# 0.10
'"! ".83
4%c! 0.4"
1.30
0.0# Note
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% ' c
1.000 -1.9# 0.04
'"! ".83
4%c! 0."#
1.#
0.039
% ' c
1.000 -1.9# 0.1"
'"! ".834%c! 0.#09
1.1
0.09
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Co
e !C%. Ne : W5:L"
e !C'. Ne : W5:L'"
%t&o C%e 1 C%e " C%e 3
m!L=L'
00 C%.ne 0.04#
C'.ne 0.04# 0.0
#0 C%.ne 0.0#0
C'.ne 0.041 0.0"
00 C%.ne 0.0##
C'.ne 0.03 0.00
#0 C%.ne 0.00
C'.ne 0.031 0.0#
00 C%.ne 0.0#
C'.ne 0.0" 0.01
#0 C%.ne 0.09 C'.ne 0.0"" 0.0#
00 C%.ne 0.04
C'.ne 0.01 0.0#0
#0 C%.ne 0.0
C'.ne 0.014 0.043
00 C%.ne 0.081
C'.ne 0.010
#0 C%.ne 0.084
C'.ne 0.00 0.0"8
00 C%.ne 0.08
C'.ne 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n
%t 6+&c+ tor&on%* re&t%nce & ne*&&'*e.
Coeffici
.DL !C%.DL : W:L"
.DL !C'.DL : W:L'"
%t&o C%e 1 C%e " C%e 3m!L=L'
00 C%.DL 0.03 0.018 0.018
C'.DL 0.03 0.018 0.0"
#0 C%.DL 0.040 0.0"0 0.0"1
C'.DL 0.033 0.01 0.0"#
00 C%.DL 0.04# 0.0"" 0.0"#
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C'. DL 0.0"9 0.014 0.0"4
#0 C%.DL 0.0#0 0.0"4 0.0"9
C'.DL 0.0" 0.01" 0.0""
00 C%.DL 0.0# 0.0" 0.034
C'.DL 0.0"3 0.011 0.0"0
#0 C%.DL 0.01 0.0"8 0.040
C'.DL 0.019 0.009 0.01800 C%.DL 0.08 0.030 0.04
C'.DL 0.01 0.00 0.01
#0 C%.DL 0.04 0.03" 0.0#4
C'.DL 0.013 0.00 0.014
00 C%.DL 0.081 0.034 0.0"
C'.DL 0.010 0.004 0.011
#0 C%.DL 0.08 0.03# 0.01
C'.DL 0.008 0.003 0.009
00 C%.DL 0.09# 0.03 0.080
C'.DL 0.00 0.00" 0.00
A cro+%tc+e ee &n&c%te t+%t t+e *%' cont&no5 %croF or & &e %t t+e 5ortG %n%t 6+&c+ tor&on%*