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 16.8P
To determine
Find the magnitude and location of the resultant active force on the wall.
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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
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
Chapter 16 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- When 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_forwardWhich of the two walls in Figure below gives the larger horizontal force? (Show calculations.)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_forward
- A 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 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 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_forward
- 4. The retaining wall is 7m high, the back of the wall is upright and smooth, the fill surface behind the wall is horizontal, the fill behind the wall is divided into two layers, and the physical and mechanical properties of each layer are indexed as shown in the figure, find. (1) calculate the active earth pressure strength at the back of the wall and draw the active earth pressure distribution. (2) find the active earth pressure combined force Ea.arrow_forwardA shear wall of length 5 m, height 3 m and thickness 250 mm has to resist the force due to horizontal earthquake in its plane. The relevant Section Modulus of the wall section isarrow_forwardA 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_forward
- Determine the stability of the cantilever gravity retaining wall shown in figure below. The existing soil is a clay and the backfill is a coarse-grained soil. The base of the wall will rest on a 50-mm-thick, compacted layer of the backfill. The interface friction between the base and the compacted layer of backfill is 25.0°. Groundwater level is 8 m below the base. 1.0 m Batter 1:20 0.4 m 1.8 m 9, = 20 kPa 8⁰ Ysat = 18 kN/m³ cs = 25° 8 = 15⁰ Backfill Drainage blanket Y = 23.5 kN/m³ 3 m Existing soil 6.1 m 0.9 mi Ysat = 19 kN/m³ = 35° % = 25°arrow_forwardFor a vertical retaining wall with a height H = 18 ft, backfill is a saturated clay with Φ= 0,C =500 Ib/ft', γsat = 120 Ib/ft3a. Determine the Rankine active pressure distribution diagram behind the wall.b. Determine the depth of the tensile crack.c. Determine the recommended pressure on the wall.arrow_forwardA 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.arrow_forward
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