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 14.16CTP
To determine
Find the magnitude and location of the resultant active force on the wall.
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a retaining wall supports a horizontal backfill that is composed of two types of soil.
first layer: 4.92 meters high, Unit weight of 16.29 kN/m^3, coefficient of active pressure of 0.296
second: 6.85 meters high, Unit weight of 18.31 kN/m^3, coefficient of active pressure of 0.302
determine the distance of the total active force measured from the bottom of the wall
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.
Determine the active and passive force acting on a 3 meter high wall that supports clay with an undrained shear strength of 100 kPa and a unit weight of 19.20 kN/m
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A retaining wall supports a horizontal backfill that is composed of two types of soil First layer: 4.75 meters high, Unit weight of 16.35 kN/m^3, coefficient of active pressure of 0.295 Second layer: 5.38 meters high, Unit weight of 18.54 kN/m^3, coefficient of active pressure of 0.305 Determine the distance of the total active force measured from the bottom of the wallarrow_forwardWhen movement of a wall under the earth pressures from the backfill was prevented the coefficient of earth pressure was recorded as 0.5. The ratio of the coefficient of passive and active earth pressure of the backfill isarrow_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_forward
- A retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 4.27 meters high, Unit weight of 17.25 kN/m3, coefficient of active pressure of 0.286 Second layer: 6.27 meters high, Unit weight of 18.27 kN/m3, coefficient of active pressure of 0.309 Determine the distance of the total active force measured from the bottom of the wall. Round off to three decimal places.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_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
- 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_forwardAn 8 m tall retaining wall holds cohesionless sand with a density and angle of internal friction of 1.85 Mg/m3 and 33°, respectively. If the surface of the backfill slopes upwards at 86° to the vertical, Use Rankine’s conditions to find the force per unit length of the wall and its location for (a) Active State (b) Passive State Please draw the pressure diagram neatly for both casesarrow_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_forward
- 1. A retaining wall moved outward by a lateral strain of 0.08% caused by an additional 0.7kPa compressive stress along the vertical on a soil element located 3m below the ground surface. Assuming that the soil is linear, isotropic, and elastic, with E=10MPA and v=0.3. Calculate the change in lateral stress and the change in vertical strain on the soil element.arrow_forwardQ1/ In Fig. 1 a retaining wall has a vertical back and is 8 m high. Determine the magnitude and the location the resultant of active force per unit meter with plot the diagram of active earth pressure. Neglecting the effect of wall friction. plot the diagram of active earth pressure Surcharge 30 kN/m2 Sand Y = 17 kN/m2 $ = 30° 3 m W.T. Sand 7= 20 k/m2 5 m $ = 35°arrow_forwardA retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 4.84 meters high, Unit weight of 17.36 kN/m3, coefficient of active pressure of 0.285 Second layer: 5.68 meters high, Unit weight of 18.9 kN/m3, coefficient of active pressure of 0.307 Determine the distance of the total active force measured from the bottom of the wall. Round off tarrow_forward
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