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HomeMy WebLinkAboutB17-0114_Rockery Design Calcs_5ft_1500331560.pdf Sheet 2 of 3 Job No. 2016-444 Project 4367 Columbine Drive Client Crestone Builders Subject Made By MN Date 03/30/17 Item Rockery Wall Design ROCKERY WALL DESIGN [Ref: FHWA-CFL/TD-06-006"Rockery Design and Construction Guidelines"] Parameters: H = 6.00ft (I) = 34° HR = 5.00 ft R = 16.72° (3.33H:1V) 30%slope D = 1.00 ft 6 =2/3(I) = 22.67° B = 2.50 ft a = 82.87° (1H:8V) Batter= 4:1 (V:H) yJ = 7.13° (90°-a) bToP = 1.00 ft la = 0.675 (tan 4)) y s = 0.120 kcf y R= 0.150 kcf Lateral Earth Coefficient: K cost(yr+4)) _ 0.567 0.255 A = = cos2(yJ) cos(6 1+ sin(4)+6)• sin(4)-[3) 12 2.223 11 cos(6-w)• cos(-w-(3)] (w +() = 41.13° (0.718 rad) cos('v +() = 0.753 yJ = 7.13° (0.124 rad) cos(W) = 0.992 (6-\)J) = 15.54° (0.271 rad) cos(6-yJ) = 0.963 (4) +6) = 56.67° (0.989 rad) sin(4) +6) = 0.835 (4)-13) = 17.28° (0.302 rad) sin(4)-13) = 0.297 (-N'-(3) = -23.84° -(0.416 rad) cos(-W-13) = 0.915 Surcharge: qs - 0.000 ksf1.00' 3.- Total Horizontal Force: FH = FA,H + Fs = '/2 ysKAH2 cos(6-w)+g5KAH = 0.53 k/ft Wall Weight: W = 1.58 k/ft @ x = 1.57 ft from toe 1.57' Frictional Resistance: 2.50' < > Fµ =µ.(W + FA,v) =µ [W + '/2ysKAH2 sin(6-4 = 1.16 k/ft Factor of Safety against External Sliding: (Neglecting Passive Resistance in front of toe) F„ 1.16 k/ft FSS = FH _ 0.53 k/ft = 2.19 >_ 1.5 OK Sheet 2 of 3 Job No. 2016-444 Project 4367 Columbine Drive Client Crestone Builders Subject Made By MN Date 03/30/17 Item Rockery Wall Design Factor of Safety against External Overturning: 1 �H (H' Mo = —2 sKAH2 • cos(8-1v) —H +gsKAH — = 1.06 k-ft/ft 2 �3 ,2 , 1H Mr = EWlxi +-ysKA2H2sin(8–yJ) –HH • = 2.88 k-ft/ft i 3 i Mr 2.88 k-ft/ft FSO _T = Ma 1.06 k-ft/ft = 2.71 >_ 2.0 OK Factor of Safety against Bearing Capacity: B Mr –Mo 0.194 6 = 0.417 OK 2 W+ 2 YsKAH2 • sin(b–W) Maximum Bearing Pressure applied at the Toe: W +2 ysKAH2 • sin(8–NJ) q max = B C1+ B = 1.01 ksf t ► 1 i_ ' , CI l' vww Retained k %.40% v Soil — "� F, 'S"-4111 s.�. .o Fs Ilk — 41464.1 YR �� r H Yinn S H/2 d -Illl ; R a Ys Fp D L '; '\ Hl3 SfYfCfµ Fµ ► j B - '~—K.4�� �J l�KA qs+Contribution KPYf (D-d) from broken backslope Foundation .... 1 Passive Pressure Soil Active Pressure Surcharge Pressure Figure 30. Graphic. Schematic rockery section showing critical dimensions and parameters to be determined for design.