Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 15, Problem 15.8P
To determine
Find the factors of safety with respect to overturning and sliding.
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A cantilever retaining wall is shown below. Calculate the factors of safety with respect to overturning, sliding, and bearing capacity by using Rankine theory. The friction angle between the soil and the base slab is 18°.
For the retaining wall shown in the figure, compute the factors of safety against overturning and sliding (analyze the latter both with and without passive earth pressure at the toe). Also determine the soil pressure at the base of the wall. Use the Rankine equation to compute passive earth pressure.
A 6-m-high retaining wall is to support a soil with unit weight g=17 kN/m3, soil friction angle f’=24o, and cohesion c’=12 kN/m2. Determine
1) the depth of tensile crack behind the wall, and
2) the depth of excavation behind the wall that requires no support (zero total lateral tress).
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- 2. The figure shows a retaining wall;a. Determine the total active force acting on the wall considering 1m width.b. Determine its overturning moment.c. If a surcharge of 18Kpa is applied on top of the backfill ,Calculate its total active forcearrow_forwardDetermine the active Rankine earth pressure (magnitude and location) against the 1-foot thick retaining wall in the figure at right.arrow_forwardAssuming the retaining wall shown below is pushed to the right by an external force, calculate the passive lateral earth pressure coefficient assuming that the wall friction is equal to 18o. Assume that the backfill is under drained conditions and the water table is below the base of the retaining wall.arrow_forward
- Problem: The cantilever retaining wall shown in the figure resists active lateral earth pressure throughout its length. 1. Calculate the total lateral force on the wall due to active pressure in KN2. Determine the overturning moment due to lateral earth pressure in KN-m.3. Determine the resisting overturning moment in KN-marrow_forwardFor the retaining wall shown in the first picture, compute the factors of safety against overturning and sliding (analyze the latter both with and without passive earth pressure at the toe). Also determine the soil pressure at the base of the wall. Use the Rankine equation to compute passive earth pressure.arrow_forwardA vertical retaining wall 6 m high is supporting a horizontal backfill having a weight of 16.5 kN/m3 and a saturated unit weight of 19kN/m3. Angle of internal friction of backfill is 30°. Ground water table is located 3m below the ground surface. Determine the at rest lateral earth force per meter length.Determine the location of the resultant force.Determine the at rest lateral earth force per meter length if it carries a surcharge of 50 KPa. INCLUDE FBD.arrow_forward
- 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.arrow_forwardIn Figure 12.24, which shows a vertical retaining wall with a granular backfill, let H = 4 m, α = 17.5º, γ = 16.5 kN/m3, Φ' = 35º, and ẟ' = 10º. Based on Caquot and Kerisel’s solution, what would be the passive force per meter length of the wall?arrow_forwardCalculate the total lateral earth force in rest condition for the retaining wall shown below. ( Note that the bottom 3 m layer is in dry condition )arrow_forward
- For a smooth vertical wall supporting a granular backfill with ϕ' = 34°, determine Ka using Eq. (16.22) for α = 0, 5, 10, 15, and 20 degreesarrow_forwardPLEASE ANSWER ASAP A 6-m vertical unyielding retaining wall is supporting a cohesionless loose coarse-grained backfill having a unit weight of 16 kN/m3 and an angle of friction of 250. It carries a uniform surcharge of 15 kN/m3. Determine the total lateral force (in kN) per unit length of the wall.arrow_forwardA smooth unyielding wall retains a normally consolidated clay with no lateral movement of soil, that is at rest condition is assumed. a) Compute the coefficient of earth pressure at rest if the clay has a plasticity index of 7.8%. (Answer: 0.455) b) Compute the location of the resultant force. (Answer: 19.81 kN) c) Compute the total lateral force acting on the wall. (Answer: 1.20)arrow_forward
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