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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
9th Edition
ISBN: 9781305971226
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 15, Problem 15.13P
To determine
Find the height (H) of the slope that will have a factor of safety of 2.8 against sliding.
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Q- An infinite slope is to be constructed in a soil. The effective stress strength
parameters of the soil are c' = 0 and O' = 30°. The saturated unit weight of the slope is
20kN/m³ and the unit weight of water is 10kN m³. Assuming that seepage is occurring
parallel to the slope, find the maximum slope angle for a factor of safety of 1.5
Knowing that L = 4 m, Concentrated load P = 15 kN and uniform distributed load w = 12 kN/m, determine the slope at C by Castigliano’s Theorem.(E= 200 GPa, I = 40x106 mm4)
Given an infinite slope with the following properties: γ = 17 kN/m3, H = 5 m, β = 34°, φ = 25° and c = 20 kPa.
a. Determine the normal stress.
b. Determine the shear stress.
c. Determine the factor of safety.
Chapter 15 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Prob. 15.16PCh. 15 - Prob. 15.17PCh. 15 - Prob. 15.18PCh. 15 - Prob. 15.19PCh. 15 - Prob. 15.20PCh. 15 - Prob. 15.21PCh. 15 - Prob. 15.22PCh. 15 - Prob. 15.23PCh. 15 - Prob. 15.27PCh. 15 - Prob. 15.28PCh. 15 - Prob. 15.29PCh. 15 - Prob. 15.30PCh. 15 - Prob. 15.31PCh. 15 - Prob. 15.32P
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- 7. A long slope is formed in a soil with shear strength parameters: c' = 0 and '= 34°. A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use Ysat = 18 kN/m³ and y = 10 kN/m³. The Yw maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would bearrow_forwardFigure 15.47 shows an infinite slope with H = 9.14 m and the groundwater table coinciding with the ground surface. If there is seepage through the soil, determine the factor of safety against sliding along the plane AB. The soil properties are Gs = 2.7, e = 0.8, β = 16°, ϕ′ = 21°, and c′ = 59.8 kN/m2.arrow_forward1. Find the Factor of safety against sliding along the interface for the infinite slope shown in Figure. Also find the height Z that will give F.S of 2 against sliding along the interface. B=25" Z=2.43 m Y= 16 KN/m 10 kN/m² 1-159 Interfacearrow_forward
- A long slope is made up of a cohesionless (c'=0) soil with the internal friction angle of 34°. If the water table rises to the surface of the slope, then determine the maximum possible value of the slope angle to get a factor of safety of 1.5. Take saturated unit weight as18 kN/m3 and the unit weight of water as 10 kN/m3.arrow_forwardA long slope is formed in a soil with shear strength parameters: c´ = 0, d' = 34°. Firm stratum lies %3D below the slope and it is assumed that water table may occassionally rise to the surface, with seepage taking place parallel to the slope. Use Ysat = 18 kN/m3 and Yw = 10 kN/m3. The maximum slope angle (in degree) to ensure the factor of safety 1.5, assuming a potential failure surface parallel to the slope, would bearrow_forwarda P ↓ q=1.2m 6 = 2.91m P = 208 kN E = 21 000 MPa I = 224 x 10 mm 4 P Determine the slope in rad at 2.5m from the left.arrow_forward
- 2. Using MAM, determine the slope at A and displacement at C. El is constant. A 5 kN-m -1.5 m- C -1.5 m- Barrow_forwardAn infinitely Long slope is made up of a c-p soil having the properties: cohesion, C = 20 kPa, and dry unit 16 kN/m³. The angle of weight, Yd inclination and critical height of the slope are 40° and 5 m, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is =arrow_forwardUsing Method of Virtual work, determine the slope at point A. Use E = 200GPA and I = 100x10° mm Use Castigliano's Theorem and determine the slope at A. Use E = 200GP and I = 100x1o mm* 40 kN 40 kN A B -1.5 m -1.5 m- -1.5 m+1.5 m-arrow_forward
- 3. For the slope shown in Figure below, determine the factor of safety against sliding along the circular slip surface AC. Use the ordinary method of slices. 27 m 7.5 m 3 21 m y= 19 kN/m3 c' = 31 kN/m2 6. 5 d'= 24° A 30°arrow_forwardRefer to Figure 15.50. Given that β = 55°, γ = 19 kN/m3, ϕ′ = 17°, c′ = 57.4 kN/m2, and H = 13.7 m, determine the factor of safety with respect to sliding. Assume that the critical sliding surface is a plane.arrow_forwardQ.1. Refer to the infinite slope shown in Figure 1. Given: β = 19 ͦ, ɣ = 20 kN/m3 , Ø = 33 ͦ, and c’ = 47 kN/m2 . Find the height, H, such that a factor of safety, Fs = 3.1 is maintained against sliding along the soil-rock interface.arrow_forward
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