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 15.3P
To determine
Find the factors of safety with respect to overturning, sliding, and bearing capacity failure.
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Determine the stability of the cantilever gravity retaining wall shown in figure below.
The existing soil is a clay and the backfill is a coarse-grained soil. The base of the wall
will rest on a 50-mm-thick, compacted layer of the backfill. The interface friction between
the base and the compacted layer of backfill is 25.0°. Groundwater level is 8 m below the
base.
1.0 m
Batter
1:20
0.4 m
1.8 m
9, = 20 kPa
8⁰
Ysat = 18 kN/m³
cs = 25°
8 = 15⁰
Backfill
Drainage blanket
Y = 23.5 kN/m³
3 m
Existing
soil
6.1 m
0.9 mi
Ysat = 19 kN/m³
= 35°
% = 25°
A 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.
13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75m. and the unit weight of the sand backfill is 18.7kN/m3. Using Coulomb's equation, calculate the active force, Pa, on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant.
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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Similar questions
- A 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_forwardA cantilever retaining wall supports 2 layers of soil and surcharge as shown below. The layers have these properties: Layer 1: 1.8m thick. γ = 17.4 kN/m3 and ϕ = 22 degrees Layer 2: 4.2m thick. γsat = 18.1 kN/m3 and ϕ = 30 degrees The angle of friction between the base and soil is 42 degrees. Unit weight of concrete is 23.6 kN/m3 What is the design moment (kNm / m) at the bottom of the stem? None of the choices 819.98 478.88 363.00 299.30 Please answer this asap. For upvote. Thank you very mucharrow_forward3. Draw the pressure diagram of the retaining wall with the soil profile shown both in active and passive cases. Solve for the active and passive lateral force and its location from the bottom of the wall. 4.5 KPa Gs = 2.73 e = 0.67 Ø = 27° C =0 KPa %3D 4m Gs = 2.66 %3D e = 0.85 Ø = 34° C = 5 KPa 6marrow_forward
- The following figure shows a section of an anchored retaining wall embedded into a saturated stiff clay layer. The sand has a unit weight of = 18 kN/m³, c' = 0 kPa and o' = 34º. The clay has a unit weight of = 20 kN/m³, c₁ = 80 kPa and = 0°. A uniform pressure of 40 kPa is applied on the soil surface. The short term stability of the wall is considered in an undrained analysis. Use the Rankin's theory of lateral earth pressure to determine the active and passive horizontal stresses. You should apply the requirements of AS 4678 and the partial factors of safety method in estimation of soil pressures. Assume the soil is in-situ and use a structural classification factor of ₁ = 1. 3m 1m Water table 1.5m 40 kPa Not to Scale Sand Clay Taarrow_forwardvertical retaining wall 6 m high is supporting a horizontal backfill of soil having a void ratio of 0.5 and specific gravity of 2.7. Angle of internal friction is 32 degrees. 1. Compute the rankine force active on the wall if there is no water. 2. Compute the rankine active force on the wall if the water is on top of the horizontal backfill level. 3. Compute the rankine active force on the wall if the water table is at the bottom of the wall and the water content is 10%arrow_forward1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Active force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) y (lb/ft') 15 19 120 Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0arrow_forward
- A cohesionless granular soil with a unit weight of 18 kN/m³ is retained behind a cantilever wall as shown in Figure E2. Assume no groundwater near the influence zone and that the unit weight of concrete is 23.5 kN/m³ and 8 = 32° on the base of the wall. i. Determine the maximum and minimum pressures under the base. ii. What is the factor of safety against sliding? 50 kPa 0.4m- | = 38° 2m -3.5m- 0.4m Figure E2 6.4marrow_forwardA retaining wall 6 m high is supporting a horizontal backfill of soil having a void ratio of 0.5 and specific gravity of 2.7. The angle of internal friction is 32°.Compute the rankine active force on the wall if there is no water.Compute the rankine active force on the wall if the water table is on top of the horizontal backfill level.Compute the rankine active force on the wall if the water table is at the bottom of the wall and the water content is 10%.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
- A frictionless retaining wall is shown ih the figure below. q= 10 kN/m 1= 15 kN/m o = 26° d'=8 kN/m 4 marrow_forwardA concrete retaining wall 8 m high is supporting a horizontal backfill having a dry unit weight of 16.25kN/m3. The cohesionless soil has an angle of internal friction of 33 degrees and a void ratio 0f 0.65. (Use four decimal places) A. Compute the rankine active force on the wall. B. Compute the rankine active force on the wall if water logging occurs at a depth of 3.5 from the ground surface. C. Compute the location of the resultant active force from the bottom.arrow_forward1) : Figure-1 shows a 4.5-m-high retaining wall. The wall is restrained from yielding. Calculate the lateral force Po per unit length of the wall. Also, determine the location of the resultant force. Assume that for sand OCR = 1.5.arrow_forward
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