Specifications G R Q U P RiverEasi Center
crsa r.xnnz rs s,.c_ ; , 1515 SE Water Ave. - P.O. BOX 14310
I J i £ \ , { > , q PORTLAND, OREGON 97293
� " r I `: TEL (503) 224 -9560 - FAX (503) 228 -1285
Cantilever Retaining Wall
PROJECT NAME: Garrett Street Retaining Wall PROJECT NO.: _ DATE: Dec 09. 2009
• ELEMENT ID: Retaining Walls DESIGNER:TLS
3` - (c.' Max Height above footing
ht := 4.5•ft Total Height of wall from the bottom of the Footing
ht := 4.5•ft Height of the wall from bottom of the footing to the soil above.
t := 6•in Width of the wall.
ht 6•in Height of the soil above the footing. ( Soil available for passive resistance)
d := 12•in Depth of the footing
conc := 150•pcf Concrete weight
soil := 110•pcf Soil weight
q := 35.pcf Active Equivalent Soil Pressure on the back of the wall
sur 60•psf Surcharge on the wail
qs sur qa Surcharge on the wall
soil
q := 125•pcf Passive Equivalent Soil Pressure on the front of the wall
X := 35 Friction Coefficient
qaii := 1500•psf Allowable Soil Pressure
w := 12•in Width of retaining wall along the length
to := 3-in Width of the toe from the face of the wall to the footing edge.
i x:= 2.75-ft Total width of the wall footing.
kd := 0 -ft Depth of the key
�� ?� +�
q,,,:= 16.4•psf•.62.1.2.1Wind Pressure ``� • � ,T1
/ 41144114 V
uy c
Ot)/30/
Overturning
g g ht — ht
M :_ + + q, — ht). + ht •w
6 2 2 i M = 0.725k -ft
Pwall = cone •(t)•w•(ht — d P,,, • 0.262k
• Pft := cone •d fi g . W•W Pft = 0.412k
stir
Psoil soil- ht —d + --1•
soil (W — t — to) w P = 0.89 k
))
Prot Pwall + Pf + Psoil Ptot = 1.565 k
(to tl W W— t —to Mres Pwall' + 2 +Pft g ' 2 + ) 'soil' W — 2 J I
Mres = 2.256k- ft.
FofS := Mres FofS = 3.112 > 1.5 OK
Mot
Sliding
/ 2 ■
q ltt
Vslide := + q ht •w Vslide = 0.44 k
2 1
g + dft + k(1)
Vres 2 •w + Ptot' A- Vres = 0.688 k
.— Vres FofS = 1.563 > 1.5 OK
Vslide
Soil Pressure
W Mres — M ot
^S 2 p e = 0.397ft
tot
W
— — e
2
k :_ •3 k = 1.067
W
Ptai•
q := q = 1066.448psf < gall = 1500psf
k V w
Wall Strength
htx := 0•ft, l -ft.. ht
q -(ht - htx) q (ht - htx) ht - ht
M(htx) := 2 + 6 + q,,,•(ht Itt�• 2 + (ht - htx) -w M := M(htx)- 1.6
f := 60•ksi Yeild of Reinf. f := 2500-psi Conc. Strength
.75.in
d := t - 2.in - Depth of Reinf.
2
M
M ' 0.9 Check Wall Shear
60•ksi M
,n,,,,�„�:= R :_
85•fc /
qa 2l
_ w d
ht
. 5 _ V := q -ht + • 1.6'w
1 2- m•Rn(htx)1 \ 2 J
p(htx) := —• 1 - 1 - J
m - \ fy - f
A := P(htx)-w -d �Vn :_ .85 2 •psi•d•w
psi
4V „= 3.697k > V 0.704k
M A
htx = k• ft
i 2
Use #4 @ 12” o.c. - As =.2 inA2 0 ft 1.16 n 0.073
1 0.587
0.036
2 0.241
0.015
3 0.066 4.043.10 -3
4 4.985.10 -3
3.056.10 -4
Footing Strength - Heel
.75.in
d := d ftg - 2•in - Depth of Reinf.
2
[soil-(ht - dfig) + qs + .15•kcf•d - to - 1)2 1.6.w
:= 2
60 -ksi 21":-.- Mn n 1 r 2.m-R„)
nn n' .85 -f 2 ,RA) - 1 -Ill f y J ^ A •= p-w-d
wsu
w•d
As = 0.041in 2 f
= [soil-Olt - 40 + q + .15•kcf•d -(W - to - t - d)- (1.7 -w) :_ .85.2• ` c - psi•d•w
psi
4V „= 9.817k > V 1.128k
Footing Strength - Toe
.75.in
d := d fi - 2•in - Depth of Reinf.
2
q•to 1.7 -w 60-ksi Mn 1 2•m R„'
M m := R - - 1 1 A w•d
~A 2 .9 " .85 - w sL' 2 P= m f P
w-d y , -
A 1.308 10 -3 in 2
f c
A y ak ,:= q h - to- (1.7 -w) y .85.2- •psi -d•w
psi .4)V„ = 9.817k > V = 0.453k
G R O U P •
RiverEast Center
�� I 1515 SE Water Ave. - P.O. BOX 14310
! PORTLAND, OREGON 97293
TEL (503) 224 -9560 - FAX (503)
228 -1285
Cantilever CMU Wall
PROJECT NAME: Garrett Street Retaining Wall PROJECT NO: DATE:12 -9 -09
ELEMENT ID: Retaining Wall DESIGNER: TLS
3' -0" Max Height above footing, 8" Block
ht := 4.5 -ft Total Height of wall from the bottom of the
Footing
ht := 4.5•ft Height of the wall from bottom of the footing to the soil above.
t := 7.625•in Width of the wall.
ht := 6•in Height of the soil above the footing. ( Soil available for passive resistance)
dfl 12•in Depth of the footing
cons := 150•pcf Concrete weight
cmu := 77-psf CMU wall weight
soil := 1 ]0•pcf Soil weight
q 35•pcf Active Equivalent Soil Pressure on the back of the wall
sur := 60•psf Surcharge on the wall
sur
9s:= ____. Surcharge on the wall
soil
q := 125 -pcf Passive Equivalent Soil Pressure on the front of the wall
:= 0.35 Friction Coefficient
qan := 1500•psf Allowable Soil Pressure
w := 12-in Width of retaining wall along the length
a:= 2.75 -ft Total width of the wall footing.
to := 3 in Width of the toe from the face of the wall to the footing edge.
kd := 0•ft Depth of the key
q := 23.]•psf Wind Pressure
Overturning
ga gs ht — ht
M := + + q w h
(t — ht) + ht ( ) •w
6 2 2 Mot = 0.725 k• ft
Pwal1 cmu•(ht — dftg)•w Pwail = 0.27 k
Pft := conc•d P ftg = 0.412k
11
Psoil :=
soil- ht — d ft + — W —
( t — to) -w Psoil = 0.83 k
soil sur
Ptot Pwa11 + Pftg + Psoil Ptot = 1.512 k
Mres Pwall to + t + Pft g• -W + Pso;l• W — W — t — to
2 2 [ ( 2 /J Mres = 2.228 k• ft
0 • 9 •Mres
FofS := FofS = 2.767 > 1.5 OK
Mot
Sliding
■
q ht
2
Vslide := 2 + g •w Vslide = 0.44 k
g + d ft + kd)2
Vres 2 •w + Ptot•X V res = 0.67k
F,FoffSS : � eS FofS = 1.52 > 1.5 OK
Vslide
Soil Pressure
Ptot2 := Ptot — Pftg
W 0 . 9 •Mres — Mot
e= 0.528ft
A ` — 2 Plot
W
- - e
2
k := -3 k = 0.924
W
Ptot' 2
q := q = 1189.6psf g all = 150Opsf OK
ko•W-w
Wall
Strength
htx := O•ft,2•ft.. ht
g – htx) q (ht – htx) f ht, – ht
M :_ + + g – ht). + ht – htx • 1.6•w
2 6 ` 2
f := 60•ksi Yeild of f := 1.5•ksi CMU
ieinf. Strength
t – 0.625-in
d Depth of Check Wall
2 Reinf. -- \
(
M
2
u qa ht
Mn(htx) • 0.9 Vu qwv ht + -1.6.w
■ 2 l
f M„(htx) Shear Strength
M,• 0.8.f R = 2 m - - -. •
m w d Vnax d•w• f psi• 6 if Mu(0) < 0.25
1 2•m- Rn(htx)\ vu .d
p(htx): = —• 1– 1–
m fy ) 4 if Mu(0) > 1
V -d
A := p(htx)-w•d
M
1 –4• u(0)
V
+ 6 otherwise
V nmax = 6.51 k 3
( M \ fm
V := 4 – 1.75-min ,1 psi•d -w V. = 3.66 k
V -cl psi
O := 0.6 min(V Vnmax) (kV. = 2.196k > V = 0.733 k
Mu(htx) _ AS(h) _
htx = k- ft p(lrtx) = in
- Use #4 @I o.c. at Centerline of wall (As = .2 in ^2) 0 ft 1.1 1.838-10-3 0.077
2 0.24 3.681-10 0.015
,= p(0) p = 0.00184
4 4.985.10. 7.537.10 -6 3.166-10 -4
Footing Strength - Heel (top
stee "
0.625-in
d := d ftg - 2•in - Depth of
2 Reinf.
[soil•(ht - d + (I + conc -d ftg ]•(W - to - t) 1
• M me. =
2 0.9
• f 3•ksi Concrete Strength
f M 1 2 m Rn '
nn- 0.85 f 2 , ,V A ; = �n • 1 - 1 - f ,�5,:= p•w•d
` w•d \ y i
A 0.038in
f
[soil•(ht — dft + sur + conc- d ftg }(W - to - t - d)• 1.7•w := 0.85 -2- c •psi d•w
psi
(I)V„ = 10.824 k
V„ = 1.069k Use #4 @ 1' -6" o.c. - As = 0.133
in ^2
Footing Strength - Toe (bottom
steel) 0.625•in
d := d ftg - 2 in - Depth of
2 Reinf.
q•t 2 1.7•w _ f _ Mn 1 2 m Rn �
2 0.9 0.85 fc ^viv 2 $;=—• 1 - 1 - := p•w•d
w•d \ y /
A = 1.45 x 10 3 in
f c
V q- to •1.7•w i tV x. ,:= 0.85.2• — •psi•d•w
psi 4V = 10.824 k> V„ = 0.506k
Use #4 @ 1' -0" o.c. - As = 0.2
inA2