rc retaining wall design
TRANSCRIPT
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Bridge Design Manual - 2001 ____________________________________________________________________________________________________________ _______________
Appendix RWRetaining Wall Design
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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 $antile,er/&2 130 '
&ength o+ +ooting/ & 45 '
Height o+ +ill/ H2 3*0 '
6ree !oard o+ .all height on top 000 '
he7 0*3 '
S&ec!+!ct!on use' 8 ERA Bridge Design Manual-2001
W5
W9
W*
H :height o+ .all;
W4 W
W3
W2
W1
W(
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Appendix RWRetaining Wall Desig
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Material Properties
(0 091
+ T
+ +
+ +
+
+ Gtan +
+
)'2
7sur$harge
'2
Dead Load
Weight:)';
?entroidaldistan$e+ro' toe
:';
Resisting'o'ent
"Weight I$entroidaldistan$e%
2! Lateral Pressure
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Appendix RWRetaining Wall Design
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Wall Height[m] heq [m]
1 15040 120
90 059
( 091
&et P1 J P2 !e the earth pressure +ro' the sur$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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Appendix RWRetaining Wall Design
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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
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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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0*
use ;8 S6 $)$ 6;8 ''
β1
Φ
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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$h it is no longer re7uired is gi,en !y K 4
39
lext re7d
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( / W!t% . +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure
he +a$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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Bridge Design Manual - 2001 ____________________________________________________________________________________________________________ _______________
Appendix RWRetaining Wall Design
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/ W!t% !n. +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure
!
7toe 1391(
10323 d
+a$tored !-! 1491 )'
( / W!t% . +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure
7toe 139*2
11(54
+a$tored !-! 13343 )' !
+a$tored !-!"'ax% 6.
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Bridge Design Manual - 2001 ___________________________________________________________________________________________________________ _______________
Appendix RRetaining Wall Desi
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( / W!t% . +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure
101*0
404
1( '
he a,erage pressure !y the .eight o+ soil/ sur$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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Bridge Design Manual - 2001 ____________________________________________________________________________________________________________ _______________
Appendix RWRetaining Wall Design
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use + ;8 6 $)$ 6?8 ''
As pro, ;89. #'ax ?8 ''
00194
8.884; O0 11
/ W!t% !n. +ctors +or 'e' n' surc%r#e lo' n' . +ctor +or lterl &ressure
159
000
1( )'
+a$tored !-!
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Appendix R Retaining Wall Design
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#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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Bridge Design Manual - 2001 ____________________________________________________________________________________________________________ _______________
Appendix R Retaining Wall Design
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"r S<
+ 68 S< $)$
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My1
9339
993*30
59450*23
(0(520(
10522*4
120(03(
143(*9
2599*15
5513325
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My2
*95(221
122(((2
1421(*5
1491*2
14*432(
13010((
14513((
19020*
199495*2
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