rc retaining wall design

8/20/2019 RC Retaining Wall Design

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Bridge Design Manual - 2001 ____________________________________________________________________________________________________________ _______________

Appendix RWRetaining Wall Design

_______________________________________________________________________________________________________________________ ________________ Ethiopian Roads Authority

Page RW-1

APPENDIX RW - DESIGN OF R.C. CANTILEVER RETAINING WALL

Project:

Consultnt: Lou!s "er#er !n ssoc!t!on $!t% SA"A En#!neer!n# &lcDes!#ne' () : Heno A!erra " #tru$tural Engineer%

C%ec*e' () : &ennart Rah' "Bridge Engineer%

Cse: #tati$al $al$ulation

Dte o+ 'es!#n :- 2()0()(*

General Notes

Ba$ +ill 'aterial is assu'ed le,el and tra++i$ sur$harge load is in$orporated

Input DimensionsRe$o''ended ,alue

Height o+ .all/ H 00 '

#te' top thi$ness/1 02 '

#te' !otto' thi$ness/2 030 '

Depth o+ heel $antile,er/ 030 '

appering slope/y1 010

End depth o+ heel $antile,er/4 021 '

End depth o+ toe $antile,er/3 040 '

&ength o+ heel $antile,er/&1 1( '

&ength o+ toe $antile,er/&2 130 '

&ength o+ +ooting/ & 45 '

Height o+ +ill/ H2 3*0 '

6ree !oard o+ .all height on top 000 '

he7 0*3 '

S&ec!+!ct!on use' 8 ERA Bridge Design Manual-2001

W5

W9

W*

H :height o+ .all;

W4 W

W3

W2

W1

W(


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Appendix RWRetaining Wall Desig


Page RW-

Material Properties

(0 091

+ T

+ +

+ +

+

+ Gtan +

+

)'2

7sur$harge

'2

Dead Load

Weight:)';

?entroidaldistan$e+ro' toe

:';

Resisting'o'ent

"Weight I$entroidaldistan$e%

2! Lateral Pressure


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Page RW-4

Wall Height[m] heq [m]

1 15040 120

90 059

( 091

&et P1 J P2 !e the earth pressure +ro' the sur$harge and linearly ,aryng load

6or$e

P1 40*9 2 5513

P2 (140 15 1219

su 1221 22(40

he !earing pressure !eneath +ooting is $al$ulated !y the +a$tored loads A$$ording to a!les 4-2 J 4-4/

the dead load o+ the .all and the sur$harge loads are +a$tored !y the 'ini'u' or 'axi'un ,alueK .hereas/ the lateral

pressure is +a$tored !y the 'axi'u' ,alue

/ W!t% !n. +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure

he su''ation o+ 'o'ent a!out toe/ Msu' 43503 '

25*5

he e$$entri$ity e / is there+ore/

e &)2-Msu') 0915 ' O0 11 &)9

I / W%en t%e +oun't!on ter!l !s roc* (2c e3L245 Loo* t Cse -6

Cse -6 W%en e37L24

7 heel 8.9 O0 11

7 toe 64.69 O0 11

0(3

1391(

Ar' +ro'+oundation

le,el

Dri,ingMo'ent

a!out oe

"! #earing pressure $eneath %ooting

)'2

)'2

1 2 3 4 5 6 7 8 9 10

0

0.5

1

1.5

2

f(x) = - 0.003382716x^3 + 0.077x^2 - 0.6265555556x + 2.478

Highway Surcharg !"a#

$"!u%& ' h %*

a!! high, %*

h

( ) % *


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Page RW-3

Cse -; W%en L243e37L

7'ax 2):4"&)2-e%; 1391( O0 11

4553 '

1391(

4553 '

7'axG&e and 7'axG&eG"&-&e)2% "&)2Le%

6ro' the a!o,e t.o e7@s 7'ax and &e $an !e $al$ulated

&e )7'ax &-2e 219 '

7'ax "&)2Le%):&e"&-&e)2%; 10(9 O0 11

or )&e

7'ax 10(9 )'2

&e 219 '

( / W!t% . +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure

he su''ation o+ 'o'ent a!out toe/ Msu' (29( '

45352

he e$$entri$ity e / is there+ore/

e &)2-Msu') 02(4 ' e3L25 O0 11

(2c e3L245 Loo* t Cse -6

Cse -6 W%en e37L24

7 heel ?


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Appendix RWRetaining Wall Desig

______________________________________________________________________________________________________________________ ________________ Ethiopian Roads Authority

Page RW

7'axG&e and 7'axG&eG"&-&e)2% "&)2Le%

6ro' the a!o,e t.o e7@s 7'ax and &e $an !e $al$ulated

&e )7'ax 4194 '

7'ax 11* )'2

7'ax "&)2Le%):&e"&-&e)2%; 11*3 O0 11

&e 4194 '

6or +oundation on soil/ the lo$ation o+ the resultant o+ the rea$tion +or$es shall !e .ithin the 'iddle hal+ o+ the !ase

6or +oundation on ro$/ the lo$ation o+ the resultant o+ the rea$tion +or$es shall !e .ithin the 'iddle three-+ourth

o+ the !ase his $ondition is already $he$ed a!o,e

Dri,ing Mo'ent 22(40

Resisting Mo'ent 501*5 Res!st!n# ,oent @ Dr!!n# ,oent5 O0 11

#6 409 #6 >2 /#a+e against ,erturning

Dri,ing +or$e 1221

Resisting +or$e 1(*( Res!st!n# +orce @ Dr!!n# +orce5 O0 11

#6 194 #6 >1/ #a+e against #liding

he 'o'ent at the !ase o+ the ste' is $al$ulated asK

et height o+ +ill on ste' 390 '

Msur$harge 92( ')' 2*4*(0(4

M,aryng 11*3* F 552520**

Msum & 6=


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Page RW-9

0*

use ;8 S6 $)$ 6;8 ''

β1

Φ


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Page RW-

As pro, ;46=.8 #'ax ?8 ''

00194

8.88BB O0 11

l+ (r cut o++ loct!on

As@ As)2 140(00

he distan$e +ro' top to the point .here hal+ o+ the rein+or$e'ent is not re7uired "i e FyF% $an !e +ound !y trial and error

to e7ualie the 'o'ent !y the +a$tored lateral pressure and the 'o'ent that $an !e resisted !y hal+ o+ the !ar

My "1%)

y

My "2% 4 11(2 124 1

29

Where d y)"H-%G"2-1%L1-$o,er-+)2 2*

yG is the +ree !oard gi,en on top Hint 8 Nt is pre+era!le i+ My o+ e7 "2% is slightly 4

greater than My o+ e7 "1% 42

44

Extension length re7d !eyond the point at .hi$h it is no longer re7uired is gi,en !y K 4

39

lext re7d


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Page RW-


he +a$tored pressure +ro' underneath 'inus .eight o+ $antile,er is/

7toe 139*2

111*0

M+a$ta-a 14233 ')'

here+ore/ the 'axi'u' 'o'ent at se$tion a-a +or design is/

M+a$ta-a "'ax% 6


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Page RW-(


!

7toe 1391(

10323 d

+a$tored !-! 1491 )'


7toe 139*2

11(54

+a$tored !-! 13343 )' !

+a$tored !-!"'ax% 6.


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Bridge Design Manual - 2001 ___________________________________________________________________________________________________________ _______________

Appendix RRetaining Wall Desi

______________________________________________________________________________________________________________________ ________________ Ethiopian Roads Authority

Page RW-


101*0

404

1( '

he a,erage pressure !y the .eight o+ soil/ sur$harge and heel $antile,er is gi,en as/

11*33

7'ax 122

0(( '

Assu'e $ounter $lo$-.ise 'o'ent as positi,e

221* ')'

here+ore/ the 'axi'u' 'o'ent is taen +or design

M+a$ta-a "'ax% ;;?.6= ')'

he $raing 'o'ent gi,en !y e7"*2% as +ollo.s8

4EL0(

514 ')' 200 ''

+r 2*15 MPa

he a'ount o+ rein+or$e'ent shall !e ade7uate to de,elop a +a$tored +lexural resistan$e at least e7ual to the

lesser o+ 8

- 12 ti'es the $ra$ing strength deter'ined on the !asis o+ elasti$ stress distri!ution and the

'odulus o+ rupture/ +r/ o+ the $on$rete

- 144 ti'es the +a$tored 'o'ent re7uired !y the appli$a!le strength load $o'!inations

Mu ;;?.6= ')'

300 ''

As 1000 ''

1(5390 +y 300 MPa

+$@ 20 MPa

a As+y)"*+$@!% + 0(

3939 '' +!ar 20 ''

$o,er 0 ''

430 ''

0*

?ase -1 W%en t%e +oun't!on ter!l !s roc*

7a-a

)'2

7end

)'2

he length o+ pressure appli$ation &h is/&

h

7soilLsur$hargeL$antile,er

)'2

?ase -2 W%en t%e +oun't!on ter!l !s so!l

)'2

&h

Ma-a

Ng !h4)12 ''3

M$r +rNg)yt y

t

D pro,

Mu)φ+y"d-a)2% !e++

''2

d pro,

β1


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Page RW-11

use + ;8 6 $)$ 6?8 ''

As pro, ;89. #'ax ?8 ''

00194

8.884; O0 11


159

000

1( )'

+a$tored !-!


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Appendix R Retaining Wall Design


Page RW-12

#ar (chedule400

"r S6

300 300 + 68 S6> $)$ ;8 ''

400

& 1300 ''

354

+ ;8 S6 $)$ ;8 ''

& 14 ''

300

"r S;

+ ;8 S; $)$ ;8 ''

2919 & 4019 ''

300

H [height of wall]


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Page RW-14

"r S<

+ 68 S< $)$


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Page RW-1


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Page RW-19


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Page RW-15

44


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Page RW-1*


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Page RW-1(


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Page RW-20

My1

9339

993*30

59450*23

(0(520(

10522*4

120(03(

143(*9

2599*15

5513325


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Page RW-22


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Page RW-24


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Page RW-23


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Page RW-2(


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Page RW-40


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Page RW-41


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Page RW-42


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Page RW-44

My2

*95(221

122(((2

1421(*5

1491*2

14*432(

13010((

14513((

19020*

199495*2


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Page RW-43


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Page RW-4


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Page RW-49


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Page RW-45


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Page RW-4*


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