HomeMy WebLinkAboutB14-0096 CR2 Retaining wall letter K R M CONSULTANTS INC.
, RECORD
P.O.Box 4572 • Vail,Colarac[o 81658 • 970-9�F9-9391
TO: Seth Bassung �
lntention Architecture �
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DATE: 6/3/2014 JOB NUMBER: 1402-06 �
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PROJECT.• Snowberry Duplex �
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❑ RFI ❑ MEETING NOTES � RESPONSE ❑ CLARIFICAT/ON/CHANGE �
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This letter is to acidress the design a�d consideratians of the retaining wa[!s around the perimeter of the e
above mentioned praject. w
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The residence is f�uilt into a steep slope and as a result requires a series of tiered re�aining walls on both �
sides of the structure. �`hese retaining walls vary in height from 2' ta 6' abo�e grade. The distance t
between the waEls varies from 4' ta 'I2'. The slopes between the base of one wall to the top of the �
adjacent wall varies from 7:$ to 1:2. The number of walls within the tiered system varies and is based on r
arc�itectural sheet A1.1, s
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The soil at these retaining walls is reinforced using a geogrid material. To evaluate t�e geogrid, we used �
. the Keystone Retaining wall program. The results of these calculations are attached. `
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�fhere is an existing water tank on the adjacent lot. This tank is in a location that will not result in any �
surcharge that will affect the retaining walls or structure. ?
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f'lease contact us with any questions you may have. ;
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SIGNED: COPY TO: �
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` STONE
� RETNhIHGWAl,1.5Y5TEMS RETAINING WALL DESIGN
KeyWall_2012 Version 3.7.2 Build 10
Proj�t:S'nowberryDuplex Date• b/3/.2014
Proj�t No: 1402-Ob Designer:J'MO
Case�Case 1
Des��Method: Rankine-w/Batter(modified soil interface)
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Des� Parameters ---- -- � i
Soii parameters: de c nsf Y pcf ° � n'n. r � i
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Reinforced Fill 28 0 110 = ���� , r �Y I
Retained Zone 28 D 110 ���}���-�-�
Foundation Soil 28 0 110 """'""'-
Reinforced FiU Type: Sand, Silt or Clay
Unit lFill: Crushed Stone, 1 inch minus
Min.imum Desxgn Factors of Safet�
sliding: 1.50 puIlout: 1.50 uncertainties: 1.50
overtuzning: 2.40 shear: 1.50 cannection: 1.50 ;
bearing: 2.00 bending: 1.50 �
Desi�o Preferences �
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Reinforcing Pararr�eters:Strata-Grid Geogrids �
Tult RFcr RFd RFid LTDS FS Tal Ci Cds �
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SGl SQ 1875 1.65 1.10 1.10 939 I.30 b26 0.80 0.80 ,
Analysis: Case:Case 1 �
New Case °
Unit Type: Compac/120.00,pcf Wall Batter:0,00 deg(Hinge Ht N/A) �
Leveling Pad: Ct-ushed Stone �
Wall Ht: 7.00ft embedment: 1.00 ft �
BackSlope: 22.50 deg.slope, 12.00 ft long 3
Surcharge: LL:0 psf uniform surcharge DL: 0 psf uniform surcharge �
Load Width: 100.00 ft .�oad Width:IOQ.DO ft �
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Results: Slirling Overtur�in� Bearin� Shear Behdin� E
Factors ofSafety: 1.53 3.08 4.36 S.S8 2.50 �
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CaIculated Bearing Pressure: .1.271/1271 psf 3
Eccentricity at base:0.6I ft �i
Reinforcing:(ft&lbs/ft) d
Calc. Allow Ten Pk Conn Pullout
L_a�eK Hei�ht Le. n�th Tension Reinf.'�ype Tal TcI FS '
4 5.33 S.S 185 SGISO 626 ok 422 ok 2.14 ok �
3 3.33 S.S 303 SG1S0 b26 ok 481 ok 3.87 ok
2 2.00 5.5 346 SGl SO 626 ok 521 ok S.SI ok �
1 O.G7 S.S �F36 SGI SO 626 ok 553 ok 6.46 ok �
Reinforcing Quantities(no waste included): �
SGl SO 2.44 sy/ft �
NOTE: 7'HESE C�4LCUL�(TIONSARE F4R PRELIMINARYDES.lGN ONLYAND SHOULD ��
NQT BE USED FOR CONS7'R UC�.ION WITHOUT 1�ET�IEWBYA QUALIFIED ENGINEER
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l�ate 6/3/2014 Case 1 Page 1 �
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DETA�LED CALCULATIONS
Pra��t:Snowberry Duple,r Date: G/3/2014
ProJ�t No: 1402-06 ' Designer:J'MO
Cas��Case 1
Des3�Method:Rankine-w/Batter(modified soil interface)
Soi� pararneters: de C p5f y �cf
Reinforced Fill 28 0 I10
Retained Zone 28 0 !10 �
Foundation Soil 28 0 11 D
Le��ling Pad: Crushed.stone �
Mod=+Iar Concrete Unit: Compac u
Deptb;1,00 ft In-Place Wt: I20 pcf �
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Geaxnetry =
Internal Stability External Stabi7iry h
(Broken geometry) (Broken geo,netry) �
Height: 7.00 ft Height:8.86 ft x
BackSlope: �
Angle: 22.5 deg Angle:22.5 deg �
Height: 497 ft Height:3.11 ft 3
Batter: O.00deg Batter: O.00deg �
Surcharge: �
Dead Load:0.00 psf Dead Load: 0.DO psf �
.Live Load: 0.00 psf Live Load:0.00 psf ;
Base width:S.S ft
Earth Pressures: �
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sin��-�'�����'—� � �
sir�� a s�xs��--S� 1�- �-�
sEn��—S��i�r,�cz-F,i3� :�:
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Internal Externa �
� = 28 deg � = 28 deg �
a =90.00 deg a =90.00 deg
(3 =22.50 deg f3 =22.50 deg �
S = 19.55 deg S = 19.31 deg '
H = 7.00 ft
lca =0.49b ka =0.463
Hinge Height: Hinge H�Not applicable �
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�ate 6/3/2014 Case 1 Page 2
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Rei�orcing Parameters:Strata-Grfd Geogrids
Tult RFcr RFd RFid LTDS FS Tal Ci Cds
SGt s� 1875 1.65 1.10 1.10 939 1.50 626 0.80 D.80
Co��ction Parameters:Strata-Grid Geogrirls
Frictionall Break Pt Frictional 2
SGI50 Tcl=Ntan{20.20) -�560 657 Tcl=Ntan(I5.00) +626
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Uni.t Shear Data �
Sheat'=Ntan{40.00) f
Inter-Unit ShearShear=Ntan(26.90) + 769.00 -
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Calculated Reactions °
For �he"modified"design method, the back of the mass assumed to be vertical for caiculation of resisting forces.
effeCtive slidang length =5.50 ft �
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w.�....�.,, .
T'�=0.3H-��-H�ka— 2c-�ce� P,�:= q•H•ka `s ..�'-,.�.����"`. �s�;�a`" ;
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P�:= I'�•ccrs�S� P�,:= P�cas�S� �' s � �as,�as� g
�'�4,�= Ps•sin�d'J P�:= Pq sin.�&� � �,�� � �'��� §
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Reactions are: `'�"`� '
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Area Force Aa-r�n-x Arm-y Moment '
wl s�o.00 �o.soo� 3.soo �20.00 �
W3 3465.00 (3.250] 3.500 I126I.ZS �
WS 461.33 (4.00DJ 7.621 1845.32 �
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Pa h 1886.93 S.SDO �2.955�j -SS75.22 �
Pa v 661.32 �S.SDO�j 2.955 3637.27
Sum U= 5427:65 Sum Mr= 17163.84 �
Surn H= .1886.93 Sum Mo= -557522 3
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Date 6I3/2014 Case 1 Page 3 iI
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Ca1��1�te Sliding atBase
For Sliding,Vertical Force=W 1+W2+W3+W4+WSa-W6�qd =5428
The resisting force withiva the rein.mass,Rf 1 =N tan(2$}
=288b
The resisting force at the fowndation,Rf 2 =N tan{28.OU)
=2886
The c�riving forces,Df,are the suzx�of the external earth pressures: �
Pa h+Pql_h f Pqd h = 1887
tY�e�actor of Safety for Sliding is Rf 21Df = 1.53 9
Calculate Overturnin�: �
Overturning moment:Mo�Sum Mo =-SS75 `
Resistix�g moment:Mr=Sum Mr = 17 T 64 �
Factor of Safety of Qaez�z�iaxg:Mr/Mo =3.08 '
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Date 613J2014 Case I Page 4 �
CaL�late eccentricity at base: with Surcharge/withoat Sarcharge
Su�Moments = 11589/11589
Suz��Iertical=5428/5428
Bas�Length=5.50
e= ��615/0.615 �
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Cal cuiate LJ��imate Bearing based on shear: �
wh��: �
Nq= 14.72
Nc=25.80
Ng= 16.72(ref.Vesic(1973, 1975)eqns) �
Qult=5545 psf ';
Equ.ivalant footi�ng widtxz,B'=L-2e=4.27/4.27 �
Bea�inig pressure=sumVB'= 1271 psf/1271 psf [bearing is greatest without iiveload] �
Factor of Safety£or bearuig=Qultlbearing=436 �
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Calculate Tensions in Reinforcing: �
The tensions in the reinforcing layer,and the assumed load at the connection, �
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is the vertical azea suppozted by each respective Iayer,Sv.Column[7]is'2c sqrt(ka)'. �
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Table of Results ppf �
L;] [2l [3l [4] Lsl L6l [�] L8] [9l L141 Llll �
Y.aver Deptlx zi h� ka/rho 1?a (Pas+Pasd� c (S+b}cos(d)-7 Ti Tcl Tsc j
4 1.67 I33 0.501/43 196 0 0 i 85 1&5 422 N/A �
3 3.G7 3.50 0.501/43 32T 0 0 303 303 481 NIA �
2 5.00 5.00 0.501/44 367 0 0 346 346 521 N/A �
1 6.33 6.33 0.499/44 453 0 0 436 436 553 N/A �
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Calculafe sliding on t#�e reinforcing: �
The shear vaIue is the lessor of base-shear or i�ter-unit shear. �
I�] [2] [3] C4] I57 [6] [�l [8] [g] [��l [�1] [Z2]
_I.aver Depth zi N Li Cds �r RF ka Pa Pas+pasd DF FS i
4 1.b7 1400 4.50 0.80 870 1466 0.501 343 0 324 4.52 �
3 3.b7 2550 4.50 0.80 992 2077 0.493 829 0 782 2.66 j
2 5.00 3348 4.50 0.80 1073 2498 0.481 I246 0 1175 2.I2 I
1 6.33 4169 �.SO 0.80 rrss 2928 0.468 1731 0 1633 1.79 i
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Date 6/3/2014 Case 1 Page 5 3
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Cal��late prillout of each layer
The �'oS(R*IS*)of pullout is calculated as t1�e inc�ividual
lay��'pullout(R�divided by tlze tension(D fl in that layer.
The �gle of the failure plane is:31.00 degrees from vert�icat.
L1J L2l [3] C47 Lsl [6] L7l L8l
Laver Depth zi Le SumV Ci POi Ti FS PO
4 1.67 1.30 465 0.80 395 185 2.14 ;
3 3.67 2.50 1377 0.80 1172 303 3.87 �
2 5.00 3.30 2242 0.80 1908 34G S.SI ;
I 6.33 4.10 3314 0.80 2819 436 6.46 �
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Che�k Shear&Bending at each layer ?
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Bendurg on the top layer is the FOS of overturning of the Units �
(Mosrsurcharge loads need to be moved backfrom the face.) �
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�1] �2] �3] �4] �S] C6] ��1 �8] �9]
La� De�h zi Si DM Pv RNI FS b DS R�S FS Sh #
4 1.67 1.67 40 2Q0 ,100 2.SO 72 870 12.07 �
3 3.b7 2.00 78 320 273 3.51 164 991 6.03 �
2 5.00 1.33 53 520 387 7.36 1 bl 1073 6.65 =
1 G.33 I.33 68 680 493 7.28 207 11 SS .5.S8 i
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Date 613l2014 Case 1 Page 6
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