Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 13, Problem 13.7P
To determine
The total force per (P) unit length of the wall due to the strip loading.
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QUESTION 4.
A retaining wall 6 m high with a vertical back face retains a homogenous saturated soft clay. The saturated unit weight of the clay is 19 kN/m3. Laboratory tests showed that the undrained shear strength, Cuof the clay is 16.8 kN/m3, f=0o.
Do the necessary calculations and draw the variations of Rankine’s passive pressure on the wall with depth
Determine the total passive force per unit length of the wall.
Find the location of the resultant force?
12.6 Refer to Figure 12.10. For the retaining wall, H = 8 m, ' = 36°, a = 10⁰,
y = 17 kN/m³, and c' = 0.
a. Determine the intensity of the Rankine active force at z = 2 m, 4 m, and 6 m.
b. Determine the Rankine active force per meter length of the wall and also the
location and direction of the resultant.
11.7 A retaining wall is shown in Figure 11.22. Determine the Rankine active force, Pa, per unit
length of the wall and the location of the resultant for each of the following cases:
a. H = 12 ft, H, = 4 ft, y, = 105 lb/ft, y=
b. H = 20 ft, H, = 6 ft, y, = 110 lb/ft, y = 126 lb/ft', oi = 34°, d; = 34°, q = 300 lb/ft
122 Ib/ft', i = 30°, = 30°, q = 0
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Chapter 13 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.1CTP
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- The 5-m high retaining wall in Figure 13.40c is subjected to a surcharge strip load of q 5 105 kN/m2 on the ground surface. Determine the total force per unit length of the wall due to the strip loading only.arrow_forwardA 10-m retaining wall is shown in figure A, determine: a. The active thrust on the wall due to soil and water b. The active thrust on the wall due to soil only [dry] c. The increase in force on the wall if the soil is fully saturated with rainwater.arrow_forwardFor the given retaining wall as shown, determine the following: Note: The water table for the given soil profile is located at an H1 depth below the top of the wall. 9, = 20 kPa H = 2 m Ysat = 19 kN/m? O' = 25° H2 = 4 m Ysat = 20 kN/m? O' = 30° a) The total active force on the wall in kN. b) The total active moment at the bottom of the wall in kN-m. c) The required passive force to maintain equilibrium in kN. d) The theoretical passive force in kN. e) The total theoretical passive moment at the bottom of the wall in kN-m.arrow_forward
- 3. Rankine Theory: An 14-ft-high cantilever retaining wall is backfilled with a soil that has a Y = 103 pcf, Ysat = 127 pcf, o'=28" and c' = 0. (a) If water ponds at mid-height behind the wall, calculate the Rankine active force per unit length of wall and (b) Estimate the location of the lateral thrust measured from the bottom of the wall. (Problem 13.13, Das and Sobhan, 2014).arrow_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_forward4) : For the retaining wall shown in Figure-3, determine the force per unit length of the wall for Rankine’s active state. Also find the location of the resultant.arrow_forward
- is 7 m high with a horizontal backfill. For 12.4 A vertical retaining wall the backfill, assume that y = 16.5 kN/m', ' 26°, and c' = 18 kN/m2. Determine the Rankine active force per unit length of the wall after the occurrence of the tensile crack. For the retaining wall, determine the Rankine active force per unit length of the wall and the location of the line of action of the 12.5 resultant. 12.6 For the retaining wall, H = 8 m, h' = 36°, a = 10°, y = 17 kN/m', and e' = 0. a. Determine the intensity of the Rankine active force at z 2 m, 4 m, and 6 m. b. Determine the Rankine active force per meter length of the wall and also the location and direction of the resultant. 12.7 Given: H = 7 m, y = 18 kN/m', ' = 25°, c' = 12 kN/m2, and a = 10°. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack. YI H Groundwater table H Figure P12.2arrow_forward13.22 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.arrow_forwardA 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.arrow_forward
- Q2 A smooth backed wall is 6m height and retain a soil with the properties shown in the Figure below. If the soil surface carries a uniform distribution pressure of 50 kN/m*. Determine the total Rankine active stresses on the wall and its positions. q-50 kN/m? Sand y= 20 kN/m Ø' = 20°arrow_forward12.6 For the retaining wall, H = 8 m, 6' = 36°, a = 10°, %3D y = 17 kN/m', and e' = 0. a. Determine the intensity of the Rankine active force at z 2 m, 4 m, and 6 m. b. Determine the Rankine active force per meter length of the wall and also the location and direction of the resultant. 12.7 Given: H = 7 m, y = 18 kN/m', ' = 25°, c' = 12 kN/m2, and a = 10°. Caleulate the Rankine active force per unit length of the wall after the occurrence of the tensile crack. YI Groundwater table H H. Figure P12.2arrow_forwardProblem 3: A vertical retaining wall 6 m high is supporting a horizontal backfill having a weight 16.5 kN/m and a saturated unit weight of 19 kN/m?. Angle of trictian of the backfill is 30. Ground water table is located 3 m below the ground surface. 1. Determine the at rest lateral earth force per meter length of the wall. 3.0 m 2. Determine the location of the resultant force. 3. Determine the at rest lateral earth force per meter length af the wall if it carries a surcharge of 50 kPa. 3.0 marrow_forward
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