Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305723351
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 12, Problem 12.2P
To determine
Find the value of at-rest lateral earth force per unit length of the wall.
Find the location of resultant.
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Use Eq. (12.3), Figure P12.2, and the following values to determine the at-rest lateral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H2 = 3 m, γ = 15.5 kN/m3, γsat = 18.5 kN/m3, Φ' = 34º, c' = 0, q = 20 kN/m2, and OCR = 1.
13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75 m,
and the unit weight of the sand backfill is 18.7 kN/m². Using Coulomb's equation,
calculate the active force, Pq. on the wall for the following values of the angle of
wall friction. Also, comment on the direction and location of the resultant.
a. 8' = 14°
b. 8' = 21°
+
Sand
y = 18.7 kN/m³
c' = 0
d' = 34°
e = 12°
8' (wall friction)
e = 10°
H= 9.75 m
Figure 13.38
© Cengage Learning 2014
Refer to Figure 12.3a. Given: H = 12 ft, q = 0, γ = 108 lb/ft3, c' = 0, and Φ' = 30º. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2.
Chapter 12 Solutions
Principles of Foundation Engineering, SI Edition
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- 12.2 ), Figure P12.2, and the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°, c' = 0, q = 20 kN/m², . Repeat problem when water level Groundwater at ground surface. Figure P12.2arrow_forwardQ: The following figure shows a soil system supported by a 3m high retaining wall. This is normally consolidated soil and the wall has been restrained from yielding. Determine the lateral force Po, exerted by the soil system on per unit length of wall. [Yw = 9.81 kN/m³] H = 3m A B С c'=0 $ 20⁰ y = 15 kN/m 3 c'=0 Ø Y sat 20° 18 kN/m3 2marrow_forward.A 6 m vertical retaining wall is supporting a horizontal backfill of a normally consolidated soil having a unit weight of 18 kN/m3 and a friction angle of 35 degrees. Cohesion of soil is zero. (Use four decimal places) A. Determine the at rest force per unit length of the wall. B. Determine the active force develop at the wall. C. Calculate the passive force acting on the wall.arrow_forward
- Consider a retaining wall supporting a fill-soil as shown in the figure. The wall is moving from right to left. q=15kN.m2 0.5m Yconcrete=24kN.m Y1=16KN.m 01=32° Cz=0 3.5m P1 n=16KN.m P2 01=32° 0.5m C==0 [0.5m. 1m 1m 1m (a) Compute the active force P, and on the wall and its location. (b) Compute the passive force P2 on the wall. (c) Analyze the factor of safety against sliding.arrow_forward6. Details of a retaining wall are shown in the figure below. The unit weight of the wall material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. 6.5 m tu 1 2 m Yc = 23 kN/m³ 4 m -1.5m - Soil 2 Y2 = 17 kN/m³ ₂ = 10 kN/m² P2 = 25° a = 15⁰ Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² 4₁ = 30°arrow_forwardCalculate the active and passive earth pressures AND. determine the distance at which the net active and passive force will acting on the retaining wall Ya=19 kN /m3 - 34 c=3kp 2m 6=34 %3D Vd = 17.54kN/m3 8=32"; ċ=o %3D 1.5m %3D = 21. BkN/m3 V sat 8= 31; c'= o %3D 1.5m %3D Ysat = 22.lkN/m3 5 m 8=30;cioarrow_forward
- Q3) A retaining structure is given in figure. Calculate the factor of safety against sliding. (Ignore tensile crack behavior inside active part and ground water condition. Take 1.0 m interval step for point load calculation. k₁= k₂= 0.9). 3.B m 2.C m Yn: 20.0 kN/m² D: 2Eº c: 30 kN/m² 0.5 m 0.5 m 1 3.0 m 5.0 m Y cone ➜ 5A0 KN Yn: 18.5 kN/m³ c: 18 kN/m² $: ID º 24.0 kN/m³arrow_forwardQ5: In the case of the retaining wall depicted below. Calculate the lateral earth fore at rest per unit length of the wall. Determine the location of the resulting force as well as its magnitude. [25] y = 16.5 kN/m $ = 30 C = 0 Ground v Water table 2.5m Yur = 19.3 kN/m 0 = 30 C = 0 2.5m Good Luckarrow_forwardThe following figure shows a soil system supported by a 4m high retaining wall. This is normally consolidated soil and the wall has been restrained from yielding. Determine the lateral force Po, exerted by the soil system on per unit length of wall. [yw = 9.81 kN/m³] A H = 4m B c' = 0 = 30° y = 16 kN/m³ c' = 0 $ = 30° sat = 20 kN/m ³. 2.5 marrow_forward
- 1. Determine the lateral force Pae for a proposed retaining wall 6 m high for a horizontal backfill and whose uniform weight is 16 KN/cu m. The back of wall is inclined 5° w.r.t. the vertical. Consider 8 = 15°, kv = 0 and kh = 0.10. Locate the position, z, of Pae above the base. Use Coulomb's active earth pressure coefficient to determine Pa. Refer to the formulas in lesson Module 8. [Additional data: angle of internal friction Ø=30°]arrow_forwardA 9 m high retaining wall is laterally supported at the top and fixed at the base. The wall resists active earth pressure increasing from 0 at the top to 52 kN/m at the base of the per meter length along the longitudinal axis. Determine the design moment at the base. Apply the fixed end moment equation wL^2/30 at the top and wL^2/20 at the base. Assume the El is constant. 315.9 280.8 164.9 O204.6arrow_forward6. Details of a retaining wall are shown in the figure below. The unit weight of the wall 2/3 to consider the cohesion and material is 23 kN/m³. Assume a reduction factor K friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. 6.5 m m Ye= 23 kN/m³3 4 m -1.5m Soil 2 Y2 = 17 kN/m³ c₂ = 10 kN/m² 42 = 25° a = 15° Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² 4₁ = 30°arrow_forward
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