Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 12, Problem 12.5P
To determine
Find the value of active force per unit length of the wall.
Find the location of resultant.
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Q: For the retaining wall shown in the following figure, determine the force per unit length of
the wall for Rankine's active state. Also find the location of the resultant.
3 m
z 3 m
y = 16 kN/m³
' = 30°
c' = 0
Groundwater table
Y sat = 18 kN/m³
' = 35°
c' = 0
Determine the lateral earth pressure force on the wall (6.0 m height shown in the figure. Draw the stress
distribution and locate the location of the resultant force.
Sandy soil
kN
Ye = 20
O = 36.0°
A retaining wall is shown in Figure 14.23. Determine Rankine’s active force, Pa, per unit length of the wall and the location of the resultant in each of the following cases:
Chapter 12 Solutions
Principles of Foundation Engineering, SI Edition
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- .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_forward11.7 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 6 Cengage Learning. All Riphts Reserved. May not be copied, scanned, or duplicated, in whole or in part Due to elsctronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). s deemed that any suppressed content does nol maierially affect the overall learning exnerience Ceneaec ernin neerves the right to mrmove additional.contantarrow_forwardA retaining wall is shown in Figure 1. Determine the Rankine active and passive force, per unit length of the wall and the location of the resultant with the following measurements and parameters given:arrow_forward
- 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 2014arrow_forwardZ 0 y = 15.72 kN/m³ ₁ = 30° 2m c = 0 1 m Groundwater table Ysat 18.86 kN/m³ 2 = 26° c₂= 10 kN/m² (a) For the retaining wall shown in picture, determine the Rankine passive force and the Rankine active force per unit length of the wall. Also find the location of the resultant line of action.arrow_forward3. Calculate and draw to scale the earth pressures along the back of the retaining wall in the Figure 1. Then calculate the over-turning moment around point o . p = 1800 kg/m3 C = 0 kPa 1.5m P = 22 p = 1600 kg/m³ c =15 kPa O = 18 1.5m 0.5m Point O 0.5m 1m Figure 1arrow_forward
- 12.6 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_forward12.6 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.arrow_forwardRefer 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.arrow_forward
- For the concrete gravity retaining wall shown in Figure (2), find the minimum base width of the wall for no tension to develop at the edge of the base. use yc = 24.0 kN/m³ F 6.0 m B kN m³ Yt 18.0- Ø=30.0° 8 = 0.0⁰ C₁=0 Figure No. 2arrow_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_forwardRefer to Figure 12.13a. Given H = 4 m, α = 0, β = 85º, γ = 17 kN/m3, c' = 0, Φ' = 36º, ẟ'/Φ' = 0.5, and q = 30 kN/m2. Determine the Coulomb’s active force per unit length of the wall.arrow_forward
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