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 14, Problem 14.12P
To determine
Find the passive force
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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.
A frictionless retaining wall is shown in the
figure below.
q=10 kN/m²
7=15 kN/m³
= 26°
c' = 8 kN/m²
Determine:
a. The active force after the tensile crack
occurs. (kN/m)
b. The passive force. (kN/m)
c. Location of passive force from the base of
the wall (m)
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 P12.2
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Q5) Refer to the Figure below. Given the height of the retaining wall, H is 5.4 m; the backfill is a saturated clay with Ø' = 0, c= 40 kN/m2, ysat = 19.5kN/m, a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, zc. c. Estimate the Rankine active force per meter length of the wall before and after the occurrence of the tensile crack. Wall movement to left 45 + d'/2 45 + 6'/2 Rotation of wall about this point (а)arrow_forwardGiven the height of the retaining wall, H is 6.4 m; the backfill is a saturated clay with f 5 08, c 5 30.2 kN/m2 , gsat 5 17.76 kN/m3 , a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, zc. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forwardProb.9. A retaining wall 6 m high with vertical back, supports a cohesive backfill having unit weight 19 kN/m³, apparent cohesion = 26 kN/m², an = angle of internal friction is zero. Calculate_ (i) Depth of tension crack (ii) lateral active earth pressure intensity at basearrow_forward
- Refer to Figure 12.6a. Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with Φ = 0º, c = 500 lb/ft2, γsat = 120 lb/ft3,a. Determine the Rankine active pressure distribution diagram behind the wall.b. Determine the depth of the tensile crack, zc.c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forward1. A vertical retaining wall has a height of 5.5m. it supports a soft backfill with a unit weight of 15.5 KN/m³ and has a cohesion of 16.6 KN/m². The undrained angle friction is 0 Determine the A. Max. Depth of the tensile crack B. The lateral force before tensile cracks occur C. The lateral force after tensile cracks occurarrow_forwardA 5-m-high retaining wall with a vertical back face retains a homogeneous satu- rated soft clay. The saturated unit weight of the clay is 21 kN/mn³. Laboratory tests showed that the undrained shear strength, C, of the clay is 17 kN/m². a. Make the necessary calculation and draw the variation of Rankine's active pressure on the wall with depth. b. Find the depth up to which tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also, find the location of the resultant.arrow_forward
- A retaining wall 6 m high with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 19.8 kN/m^3. Laboratory tests showed that the undrained shear strength, cu, of the clay is 14.7 kN/m^2. a. Do the necessary calculations and draw the variation of Rankine’s active pressure on the wall with depth. b. Find the depth up to which a tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also find the location of the resultant.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 of 6 m high has a saturated backfill of soft clay soil.The properties of the clay soil are γ sat = 17.56 kN/m3, unit cohesion Cu = 18 kN/m2 . Determine the expected depth of tensile crack in the soilarrow_forward
- Q.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_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_forwardConsider a 4-m-high retaining wall with a vertical back and horizontal granular backfill, as shown in Figure 12.25. Given: γ = 18 kN/m3, Φ' = 40º, c' = 0, ẟ' = 20º, kv = 0, and kh = 0.2. Determine the passive force Ppe per unit length of the wall taking the earthquake effect into consideration.arrow_forward
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