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 14.11P
To determine
Find the active force
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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.
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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_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_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
- Q:3 Determine Coulomb’s active force, P» per unit length of the wall for the following cases. H = 15 ft, ß = 85°, n = 1, H¡ = 20 ft, y = 128 lb/ft³, o' = 38°, 8' = 20° a> Also evaluate the translational & rotational stability of wall. Cohesionless soil Unit weight = y (or density = p) H c' = 0 6' (angle of wall friction)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_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
- 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 P12.2arrow_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_forwardA spiral riveted pen stack 1.5-m in diameter is made of steel plate 10-mm thick. The pitch of the spiral or helix is 3-m. The spiral seam is a single riveted lap jointconsisting of 20-mm diameter rivets. Using a shear stress of 70 MPa and bearing stress of 140 MPa, determine the spacing of the rivets along the seam for a water pressure of 1.25 MPa. Neglecting the end thrust, what is the circumferential stress.arrow_forward
- Refer to Figure 12.10. Given: H = 7 m, γ = 18 kN/m3, Φ' = 25º, c' = 12 kN/m2, and α = 10º. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack.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_forwardFor the fixed wall thickness profile section in the figure; a) Find the center of shear (e). b) If a shear force of Ty = 40 kN is applied to the slip center Obtain the shear stress diagram that will occur. (t = 10 mm, a = 100 mm)arrow_forward
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