Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 16, Problem 16.12P
To determine
Find the magnitude, location, and direction of the active thrust.
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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 2014
Refer to Figure 12.15. Here, H = 5 m, γ = 18.2 kN/m3, Φ' = 30º, ẟ' = 20º, c' = 0, α = 10º, and β = 85º. Determine the Coulomb’s active force for earthquake conditions (Pae) per meter length of the wall and the location and direction of the resultant. Given kh = 0.2 and kv = 0.
13.2 Assume that the retaining wall shown in Figure 13.9 is frictionless.
Determine the Rankine active force per unit length of the wall, the variation of
active earth pressure with depth, and the location of the resultant.
If H = 4m, Ø = 36° and y = 18 kN/m3
kN
Ans. P, = 37.44", z = 1.33m
m
13.3 Assume that the retaining wall shown in Figure 13.9 is frictionless.
Determine the Rankine passive force per unit length of the wall, the variation of
lateral earth pressure with depth, and the location of the resultant.
If H = 5m, Ø = 35° and y = 14 kN/m?
Ans. Pp
645.8 kN
z = 1.67m
m.
Sand
Unit weight = y (or density = p)
%3D
H
c' = 0
8' (angle of wall friction) = 0
Figure 13.9
Chapter 16 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- A braced wall is shown in Figure 14.20. Given: H = 7 m, naH = 2.8 m, =30, =20, = 18 kN/m3, and c = 0. Determine the active thrust, Pa, on the wall using the general wedge theory. Figure 14.20arrow_forwardProb. 4 13.17 Figure 13.10 shows a frictionless wall with a sloping granular backfill. Given: H = 4 m, a = 10°, ø' = 33°, and y = 19 kN/m³. a. Determine the magnitude of active pressure, o, at the bottom of the wall. Also, state the direction of application of o. b. Determine the Rankine active force, Pas per unit length of the wall and its location and direction. H oa Frictionless wall Figure 13.10 Frictionless vertical retaining wall with sloping backfill © Cengage Learningarrow_forwardQ.6 A rigid retaining wall 19.69 ft high has a saturated backfill of soft clay soil. The properties of the clay soil are ϒsat = 111.76 lb/ft3 , and unit cohesion cu = 376 lb/ft2 . Determine (a) the expected depth of the tensile crack in the soil (b) the active earth pressure before the occurrence of the tensile crack, (c) the active pressure after the occurrence of the tensile crack. I need solution of part c onlyarrow_forward
- A vertical cantilever wall 6 m high retains soil that has a following properties Unit weight of soil = 19.2 kN/m^3 Angle of friction = 30 degrees The surface of the backfill behind tthe wall is inclined at a slope of 3 horizontal to 1 vertical and the wall has moved sufficiently to develop the active condition. a) Determine the Rankine Coefficient of active earth pressure. b) Find the normal force acting at the back of the wall considering a unit width. (in kN). c) Determine the shear force acting at the back of the wall. (in kN)arrow_forwardQ2. Which of the two retaining walls in Figure 2 produces a larger horizontal component of active thrust? y = 18 kN/m³ $'= 34° c' = 0 kPa 14 H=7m H = 7m Figure 2 115°arrow_forwardQ.4 A 6 m tall cantilever wall retains a soil that has the following properties: c' = 0, Ø = 30o, and ϒ= 19.2 kN/m3.The ground surface behind the wall is inclined at a slope of 3 horizontal to 1 vertical, Determine the active forces acting on the back of this wall using coulomb’s theory.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_forward16.7 Determine the magnitude and the location of the active thrust on the smooth vertical wall shown in Figure P16.7, assuming that the entire backfill is in the active state. FIGURE P16.7 4.0 m 3.0 m Sand y = 16.5 kN/m³; ¢' = 34° Silty sand y = 16.5 kN/m³; ¢' = 36°arrow_forwardThe backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 19 kN/m³. The height of the wall is 8 m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c'=0 and q'=38. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall?arrow_forward
- Calculate the active and passive earth pressures AND. determine the distance at which the net active and passive force will acting on the retaining wall Ya=19 kN /m3 - 34 c=3kp 2m 6=34 %3D Vd = 17.54kN/m3 8=32"; ċ=o %3D 1.5m %3D = 21. BkN/m3 V sat 8= 31; c'= o %3D 1.5m %3D Ysat = 22.lkN/m3 5 m 8=30;cioarrow_forwardUse 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.arrow_forwardQ.6 A rigid retaining wall 19.69 ft high has a saturated backfill of soft clay soil. The properties of the clay soil are ϒsat = 111.76 lb/ft3 , and unit cohesion cu = 376 lb/ft2 . Determine (a) the expected depth of the tensile crack in the soilarrow_forward
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