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www.PDHcenter.com PDH Course C155 www.PDHonline.org
Page 18 of 20
Example (2.0)
Using the Rankine method of analysis, calculate the factors of
safety with respect tosliding, overturning and bearing capacity.
Use the values presented in the following
Table and refer to Figure 5. It is inferred that all
calculations relate to a unit length ofwall.
Friction angle of soil backfill () 32 degrees
Soil Backfill Unit Weight () 125 pcf
Friction angle of the foundation soil (1) 33 degrees
Rankine active pressure coefficient (Ka) 0.307
Concrete Unit Weight (c) 150 pcf
Dimensions of the concrete wall section 1 1-ft by 8-ft
Dimensions of the soil backfill section 2 4-ft by 8-ft
Dimensions of the concrete wall section 3 6-ft by 1-ft
Figure 5
Note:
Since Pa is horizontal, there is novertical component of the
force. Ifthe backfill surface were sloping then
Pa would slope at an angle parallel tothe backfill slope. In
this case therewould be both a vertical and
horizontal component of Pa. Thelateral thrust would be the
horizontal
component and the verticalcomponent would be an additional
vertical force included in V.
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Project:
Engineer:
Descrip:
Verification Example
Javier Encinas, PE
Wall Stability Example
Page # ___
!"!"$%&
ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
www.asdipsoft.com
GEOMETRY'onc( Stem )eig*t (((((((((((
Stem +*icness +op ((((((((
Stem +*icness -ot (((((((((
8.00
12.0
12.0
ft
in
in
.ooting +*icness ((((((((((((
+oe /engt* (((((((((((((((((((((((
)eel /engt* ((((((((((((((((((((((
Soil 'over 0 +oe (((((((((((((
-acfill )eig*t ((((((((((((((((((
-acfill Slope 1ngle (((((((((
12.0
1.00
4.00
0.00
8.00
0.0
ft
ft
ft
ft
ft
2eg
34
APPLIED LOADS5niform S6rc*arge (((((((((((
Strip Press6re ((((((((((((((((((
Strip 2.0 ft deep, 4.0 ft wide @ 3.0 ft from Stem
Stem Vertical 7Dea28 ((((((((
Stem Vertical 7/ive8 ((((((((((
Vertical /oa2 Eccentricity
Win2 /oa2 on Stem ((((((((((
0.0
0.0
0.0
0.0
6.0
0.0
psf
psf
!ft
!ft
in
psf
BACKFILL PROPERTIES
-acfill Density ((((((((((((((((((
Eart* Press6re +*eory ((((((
9nternal .riction 1ngle (((((((
1ctive Press6re 'oeff( 4a
1ctive Press6re 0 Wall ((((
1ctive .orce 0 Wall Pa ((((
Water +able )eig*t (((((((((((
125.0
Ran!n" A#$!%"
&2.0
$(%
;(&
%(
0.00
pcf
2eg
psf!ft
!ft
ft
SEISMIC EART' FORCES
)or( Seismic 'oeff( * (((((((
Ver( Seismic 'oeff v ((((((((
Seismic 1ctive 'oeff( 4ae
Seismic .orce Paeoment 'apacity ?atio ((((((
0.0
0.0
$($
$($$
$($$
in
in
!ft
34
34
%
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Verification Example
Javier Encinas, PE
Wall Stability Example
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OVERT(RNING CALC(LATIONS )C*+,. D-'-WOVERT(RNING RESISTING
.orce 1rm >oment
!ft ft oment
!ft ft
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Verification Example
Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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TOE DESIGN )C*+,. 1.2D-1.6)L-'.orce 1rm >oment
!ft ft 6 @
S*ear .orce 0 'rit( Sect( ((
?esisting S*ear Vc (((((((((((
'se &ott. &ars )* @ +2 in , "rans(. )4 @ +2 in
?esisting >oment >n ((((((
Develop( /engt* ?atio at En2 ((((((
Develop( /engt* ?atio at Stem ((((
%( $(B% %($
oment >n ((((((
Develop( /engt* ?atio at En2 ((((
Develop( /engt* ?atio at +oe ((((
$($ %( $($
$(B "($$ %(%
( "($$ C("
$($ "(C $($
$($ "($$ $($
$($ "($$ $($
$($ "($$ $($
&(% %"(
(&
%%($
%("
$($
$(
!ft
!ft
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Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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DESIGN CODES
eneral 1nalysis ((((((((((((((
'oncrete Design ((((((((((((((
>asonry Design ((((((((((((((
/oa2 'ombinations ((((((((((
9-'
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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Conc.StemHeight................
StemThicknessTop.............
StemThicknessBot..............
ft
in
in
FootingThickness.................
ToeLength............................
HeelLength...........................
[email protected]
BackfillHeight.......................
BackfillSlopeAngle..............
ft
ft
ft
ft
ft
deg
OK
niformS!rcharge................
Strip"ress!re.......................
Stem#ertical$%ead&.............
Stem#ertical$Live&...............
#erticalLoad'ccentricit(.....
)indLoadonStem...............
)indHeightfromTop...........
psf
psf
k*ft
k*ft
in
psf
ft
)alltaper aTan$$+,.-+,.-&*+,*/.--&0-.---rad
Backfillslope -.-12.+3*+/-0-.---rad
4nternalfriction 2,.-12.+3*+/-0-.556rad
)allsoilfriction -.556*,0-.,76rad
Seismicangle aTan$-*$+-&&0-.---rad
Footinglength +.--8+,.-*+,83.--09.--ft
HeightforSta:ilit( -.--8/.--8+,.-*+,06.--ft
'arthpress!retheor(0 ;ankineActive
+.91Sin$-.---&0-.-k*ft
)aterforce
"?0$-.2+1$+2-.-9,.3+,5.-&89,.3&1$-.--8+,.-*+,&=*,0-.-k*ft
Forstemdesign$nonseismic&
Activeforce -.2+1+,5.-1/.--=*,0+.,k*ft
+.,1Cos$-.---&0+.,k*ft> +.,1Sin$-.---&0-.-k*ft
)aterforce
"?0$-.2+1$+2-.-9,.3+,5.-&89,.3&1-.--=*,0-.-k*ft
%
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
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Activeseismiccoeff. 0-.,/
Forsta:ilit(anal(sis$seismic&
Seismicforce -.,/1+,5.-16.--=*,1$+-.-&0+.3k*ft
+.31Cos$-.,768-.---&0+.3k*ft
+.31Sin$-.,768-.---&0-.3k*ft
)aterforce
"?e0-.--1$+2-.-+,5.-&1$-.--8+,.-*+,&=*,0-.-k*ft
Forstemdesign$seismic&
Seismicforce -.,/1+,5.-1/.--=*,0+.+k*ft
+.+1Cos$-.,768-.---&0+.+k*ft
+.+1Sin$-.,768-.---&0-.2k*ft
)aterforce
"?e0-.--1$+2-.-+,5.-&1-.--=*,0-.-k*ft
Backfill0 +.-1+.90+.9k*ft
Arm0 6.--*202.--ft
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
Page # ___
!"!"$%&
ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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Stem?eight +.-1+,.-*+,1/.--1-.+50+.,k*ft
Arm0 +.--8+,.-*+,*,0+.5-ft
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Project:
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Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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S!rcharge0 +.-1$3.-8$+,.-+,.-&*+,&1-.-0-.-k*ft
Arm0 9.--$3.--8$+,.-+,.-&*+,&*,03.--ft
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
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!"!"$%&
ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
www.asdipsoft.com
"assivecoefficient +*-.2+02.,5ksf
"assivedepth -.--8$+,.-8-.-&*+,+.--0-.--ft
"assivepress!retop0 2.,51+,5.-1+.--0-.3+ksf
"assivepress!re:ot0 2.,51+,5.-1$-.--8+.--&0-.3+ksf
"assiveforce0 $-.3+8-.3+&*,1-.--0-.-k*ft
Frictionforce0 9.+1-.3-&0,.3k*ft
Slidingratio0 $-.-8,.3&*+.90+.57 +.5- OK
Backfill0 +.91+.,0,.-k*ft
Arm0 /.--*20,.97ft
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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Bearingforce0-.-k*ft
$Geglect:earingpress!reforheeldesign&
Arm0
0$+.613.--=*,8$+.2+.6&13.--=*9&*-.-0+.22ft
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Javier Encinas, PE
Wall Stability Example
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ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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S!rcharge0 +.31$3.-8$+,.-+,.-&*+,&1-.-0-.-k*ft
Arm0 03.--*,0,.--ft
02*3-19-.-1+---*$3---&E1-./1+.-*,.51-.920+3.,in
Hooked AC4+,.5-.-,19-.-1+---*$3---&E1-.921-.70/.2in
%ev.lengthattoeside0 0$9.--3.--&*+,,.-0,,.-in +3.,in OK
%ev.lengthatheelside0 03.--*+,,.-039.-in +3.,in OK
Bearingforce0 $,.-8+./&*,1+.--0+.6k*ft
Arm0
0$+./1+.--=*,8$,.-+./&1+.--=*2&*+.60-.5+ft
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Project:
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Verification Example
Javier Encinas, PE
Wall Stability Example
Page # ___
!"!"$%&
ASDIP Retain 3.0.0 CANTILEVER RETAINING WALL DESIGN
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Coverfactor0 $2.-8-.92*,>+,.-*,&*-.92&0,.5
AC4'.$+,+&Straight
02*3-19-.-1+---*$3---&E1-./1+.-*,.51-.920+3.,in
Hooked AC4+,.5-.-,19-.-1+---*$3---&E1-.921-.70/.2in
%ev.lengthattoeside0 0$9.--+.--&*+,2.-057.-in +3.,in OK
%ev.lengthattoeside0 0+.--*+,2.-06.-in +3.,in G
Shearke(depth0 -.-in Shearke(thickness0 -.-in
"assiveforce0 +.91$-.38-.3&*,1-.-*+,0-.-k*ft
Shearatcrit.section#!0 -.-1$-.--.+&*-.-0-.-k*ft
Arm0
0$-.31-.--=*,8$-.3-.3&1-.--=*2&*-.-0-.--ft
Shearstrength AC4'.$++2&
D#n0-.751,1$3---&E1+,1-.+0-.+k*ft #!0-.-k*ft OK
[email protected]+,.-in As0-.,-in=*ft -.,-*$+,1-.+&0-.+997
Bendingstrength
D*
