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 13.25P
To determine
Find the Rankine active axial force
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Civil engineering
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 retaining wall 6 m high with a vertical back face has c'- ϕ' soil for backfill. For the backfill, γ = 18.1 kN/m^3, c' = 29 kN/m^2, and ϕ' = 18˚. Taking the existence of the tensile crack into consideration,
a. determine the active force, Pa, per unit length of the wall for Rankine’s active state.
b. determine the passive force, Pp, per unit length for Rankine's passive state.
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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- A 6m high retaining wall is to support a soil with a unit weight of 17.4 kN/m^3 , soil friction angle of 26 degrees and cohesion of 14.36 kN/m^2. Determine the Rankine active force per unit length of wall before the tensile crack. Determine the Rankine active force per unit length of wall after the tensile crack occurs. Determine the location of the acitve force after the tensile crack occurs.arrow_forward3. A 15 ft high retaining wall with vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 122 Ib/ft³. Laboratory tests showed that the undrained shear strength, cu, of the clay is equal 350 lb/ft?. 0=0. a. Find the depth up to which the tensile crack can occur. b. Determine the total active force per unit length of the wall before the tensile crack occurs. C. Determine the total active force per unit length of the wall after the tensile crack occurs.arrow_forwardConsidering that the horizontal thrust from the back of a 5.5 m wide brick wall to the 1 m deep part of the wall is H = 55 kN a) Find the greatest stress in the base when b = 2 m.b) Find the width b so that there is a shrinkage zone at the base.(Note: unit weight of brick wall ỿ = 24 kN / m3 ) Answer: ϭmax=0,30 Mpa, b=2,23 marrow_forward
- Given 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_forwardA 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_forwardA 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)arrow_forward
- 3. Compute the resultant lateral force for the soil-wall system shown in Figure 3. You may ignore tensile cracks. Use • A- Coloumb • B - Rankine 0=30°, y=20kN/m³ 4m Ground water table 7m c=50KN/m², p=10°, y=18KN/m³ 0=25°, y=20KN/m³ 8 m Gravity wall Figure 3arrow_forwardPlease answer 13.21arrow_forwardRefer 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_forward
- Q.2 The thin-walled section is shown in figure has uniform wall thickness of 0.5 in. Assume a = 1 in, b = 3 in, h = 8 in. if it is subjected to vertical downward shear force, V = 1200 lb. a) Draw the shear flow diagram for the cross section. b) Compute the distance e from the center line of the wall to the shear center S.arrow_forwardis 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_forwardA 6 m high retaining wall is to support a soil with a unit weight of 17.4 kN/m3, soil friction angle of 26° and cohesion of 14.36 kN/m2. Determine the Rankine active force per unit length of the wall before the tensile crack. Determine the Rankine active force per unit length of the wall after the tensile crack occurs. Determine the location of the active force after the tensile crack occurs.arrow_forward
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