MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
9th Edition
ISBN: 9781305971226
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 13, Problem 13.27P
To determine
Find the active earth force
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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 P12.2
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
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
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
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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- Z 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_forward13.22 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_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
- 12.3 Refer to Figure 12.12a. Given: H = 4 m, y = 16.5 kN/m³, ' = 30°, c' = 0, and B = 85°. Determine the Coulomb's active force per meter length of the wall and the location and direction of the resultant for the following cases: a. a 10° and 8' = 20° b. a = 20° and 8' = 15°arrow_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
- Q.3. A retaining wall is shown in Figure 2. Determine Rankine’s active force, Pa, per unit length of the wall. Also determine the location of the resultant.arrow_forward12.2 ), Figure P12.2, and the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°, c' = 0, q = 20 kN/m², . Repeat problem when water level Groundwater at ground surface. Figure P12.2arrow_forward.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_forward
- 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°arrow_forward3) A retaining wall is illustrated IN THE Figure. Determine the Rankine active force, (Pa) per unit length of the wall and the location of the resultant. H = 9 m, H1 = 4 m, Υ1 = 16.5 kN/m3, Υ2 = 20.2 kN/m3, ø'1 = 30, ø'2 = 34, q= 21 kN/m2arrow_forwardIM No.: IM-C 12.1 Given: H = 12 ft, q = 0, y = 108 lb/ft', c' = (0, and o' 30°. 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. 12.2 Use the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H, = 2 m, H, = 3 m, y = 15.5 kN/m', y = 18.5 kN/m', ' = 34°, c' = 0, q = 20 kN/m², and OCR = 1. 12.3 Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with o = 0°, c = 500 lb/ft,y = 120 Ib/ft", a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, z.. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack. 12.4 A vertical retaining wall is 7 m high with a horizontal backfill. For the backfill, assume that y = 16.5 kN/m', ' = 26°, and c' = 18 kN/m2.…arrow_forward
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