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.
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)
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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_forwardQ: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_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
- A 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_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_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
- 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_forwardQ.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_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
- 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_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_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 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_forward
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