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 13, Problem 13.17P
To determine
Find the height of a slope.
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A 30° slope has a height of 10 m as shown in the figure below. The soil in the slope has the following parameters c = 20 kPa, ϕ = 0°, γ = 18 kN/m . Calculate the factor of safety for the slip surface shown in the figure.
Sand is placed on a rock slope, as shown in Figure Q2.
(a) Show that sand will be stable (i.e., no sliding sliding) if
A level site underlain by fully saturated clays is cut over a few days as shown in the figure below. The water table is located at the ground surface across the site. Determine the resisting moment in kN.m for the circular slip surface depicted in the Figure below shortly after excavation.
Consider the soil wedge above the circular slip surface as a single free body, whose plane area is equal to 100 m2 and the centre of gravity of the soil wedge is given at Point C.
Chapter 13 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27CTPCh. 13 - Prob. 13.28CTPCh. 13 - Prob. 13.29CTP
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- Figure below gives details of an embankment to be made of cohesive soil with c, = 20 kPa. Unit weight of soil is 19 kN/m³. For the trial circle shown, determine the factor of safety against failure. The weight of the sliding sector is 329 kN acting at an eccentricity of 4.8 m from the centre of rotation. What would be the factor of safety if the shaded portion of the embankment were removed? Assume no tension crack develops. 71° R = 9 m e = 4.8 m 3 m 1.5 m 1.1 3 m VINISarrow_forwardA cut slope was excavated in a saturated clay. The slope made an angle of 39.55 degree with the horizontal. Slope failure occurred when the cut reached a depth of 6 m. Previous soil explorations showed that a rock layer was located at a depth of 10 m below the ground surface. Assuming an undrained condition and γsat = 18 kN/m3, Analyze the following. a. undrained cohesion of the clay.b. nature of the critical circle?c. With reference to the toe of the slope, at what distance did the surface of sliding intersect the bottom of the excavation?arrow_forward16.9 Use Taylor's method to determine the factor of safety of the slope shown in Figure P16.9. 1 Very stiff clay FIGURE P16.9 $ = 20 kPa 18 kN/m²arrow_forward
- 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.arrow_forward3. For the planar wedge shown below: 22 m Slip surface 39° 28° Calculate the factor of safety against plane failure assuming: p (degree) > (kN/m³) c (kPa) 55 2800 1850 c: cohesion of rock mass; y: unit weight of rock mass; p: friction angle of rock mass جیهان کاظیarrow_forward1: An embankment is to be constructed by making use of sandy clay having the following properties: c' = 35 kN/m², o' = 25° and y= 19.5 kN/m³. The height of the embankment is 20 m with a slope of 30° with the horizontal as shown in below Figure. Estimate the factor of safety by the method of slices for the trial circle shown in the figure. 20 m 77 ww 25° A 30° 35° c'= 35 kN/m² p' = 25° y = 19.5 kN/m³ 25 marrow_forward
- A trench was cut in a clay slope as shown in the figure. When the trench reached a depth of 3 m, the top portion of the clay suddenly failed. On investigating, the failure was observed to be a slip plane approximately parallel to the original slope. Clay Y = 17.5 kN/m² 3m 36° The undrained shear strength (in kPa) of the clay will be.arrow_forwardA cut slope is to be made as shown in the figure. The unit weight of soil is 15.74 kN/m3 and an angle of internal friction of 10°. The soil has as cohesion of 28.8 kN/m2. The trial failure plane makes an angle of 30° with the horizontal while the cut slope makes an angle of 50° with the horizontal. If the height of the slope is 3m, Compute the force that causes sliding. Compute the resistance sliding force. Compute the factor of safety against sliding.arrow_forwardFor the dam cross-section shown below, determine the minimum value of b such that the resultant force crosses the base within the middle thirds near the toe. The coefficient of static friction between the base of the dam and the foundation is 0.60. After computing the minimum value of b compute the corresponding the factors of safety against sliding and overturning. What is the maximum soil pressure in KPa? Consider two cases: (a) neglecting hydrostatic uplift. (b) considering hydrostatic uplift that varies from 80% of full static head at the heel to zero at the toe. Vw.s. 6 m 18 m (s-2.20) 6 marrow_forward
- Example 13.1 An infinite slope is shown in Figure 13.4. The shear strength parameters at the interface of soil and rock are as follows: c = 18 kN/m², ' = 25°. a. If H-8 m and 3 = 20°, find the factor of safety against sliding on the rock surface. b. If 3= 30°, find the height, H, for which F,-1. FIG. 13.4 #1 Density.p1500 kg Rock (ivarrow_forwardA 9m cut slope is shown in the figure. The unit weight of soil is 17kN/m3. Friction angle and cohesion along the rock surface are 20 degrees and 24kPa respectively. The slope makes an angle of 300 from horizontal and the failure plane is at 150. Determine the developed frictional force on the failure plane.arrow_forward3. For the planar wedge shown below: 22 m Slip surface 39° 28° Calculate the factor of safety against plane failure assuming: 9 (degree) 7 (kN/m³) c (kPa) 4) 50 2600 1950 c: cohesion of rock mass; y: unit weight of rock mass; q: friction angle of rock mass 1 1arrow_forward
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