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 15.7P
To determine
Find the factors of safety with respect to overturning, sliding, and bearing capacity failure.
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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.
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).
A smooth rigid retaining wall of 6 m high carries a uniform surchargeload of 12 kN/m2. The backfill is clayey sand possessing the following properties. γ = 16.0 kN/m3 , φ = 25°, and c = 6.5 kN/m2 for a retaining wall system, the following data were available: (i) Height ofwall = 7 m. (ii) Properties of backfill: γd =16 kN/m3, φ = 35 ° (iii) Angleof wall friction, δ =20° (iv) Back of wall is inclined at 20° to the vertical(positive batter) (v) Backfill surface is sloping at 1:10. Find thefollowing(i) Active earth pressure(ii) Passive earth pressure
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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- A 5 m-high smooth, vertical wall retains a granular backfill with unit weight of 18 kN/m3 and a friction angle of 35°. Find the magnitude and location of the resultant active thrust. If a 10 kPa uniform surcharge acts at the top of the backfill, find the magnitude and location of the active thrust.arrow_forwardFor 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_forwardA 6m vertical retaining wall is supporting a cohesion less horizontal back fill having a unit weight of 16kN/m3 and an angle off riction of 32 degrees. It carries a uniforms urcharge of15kN/m3. a)Determine the at rest lateral force per unit length of wall. b) Determine the Rankines active force per unit length of wall. c)Determine the Rankines passive force per unit length of wall.arrow_forward
- A 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_forwardFor a smooth vertical wall retaining a granular backfill inclined at an angle of a = 15 ° , check whether Eqs . ( 16.70 ) and (16.72 ) ( or Tables 16.9 and 16.10 ) give the same values for the passive earth pressure coefficient . Use Ø' = 30° and 40°.arrow_forwardCalculate the lateral force resulting where an active soil pressure condition develops against the backface of a frictionless wall 20 ft high if the backfill surface is level and the retained soil is cohesionless (unit weight of 115 pcf and angle of internal friction of 35°).arrow_forward
- A 8-meter-high retaining wall, with a perpendicular back, retains the soil with a unit weight of 17.17 kN/m3. The cohesion and the internal friction angle of the backfill were measured as 13 kPa and 20°, respectively. Assume that there is no friction on the wall and the surface of the backfill is horizontal. Calculate the expected active force on the wall and the position of this force.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_forwardDetermine the total active thrust, in kN/m, for a retaining wall (height 5.60 m) with horizontal backfill given the following properties: Unit weight = 17.42 kN/m3, angle of internal friction = 32 degrees, Cohesion = 11.76 kPa, Surcharge = 9.32 kPa.arrow_forward
- Determine the total active thrust, in kN/m, for a retaining wall (height 5.12 m.) with horizontal backfill given the following properties: Unit weight = 17.79 kN/m3, Angle of internal friction = 30°, Cohesion = 11.71 kPa, and Surcharge = 9.33 kPa.arrow_forwardAn 8 m high retaining wall supports a 5.5 m deep sand (γd = 18.5 kN/m3, Φ = 34°) overlying a saturated sandy clay (γsat = 20.3 kN/m3, Φ = 28°, c = 17kPa). The groundwater level is located at the interface of two layers. Calculate the overturning moment acting on the wall (kNm)arrow_forwardA 7.5m high frictionless retaining wall supports a soil with cohesion, c'=12 kPa, friction angle=23 degrees, Gs= 2.65, void ratio 0.89, and most unit weight of 15.2 k/Nm? Clogging of weepholes occur such that the water table rises 1.5m above the base of the wall. Neglect any surcharge. Determine the magnitude and location of the native force acting towards the wall.arrow_forward
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