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 13.28CTP
To determine
Find the factor of safety.
Find the inclination of the critical plane that has the minimum factor of safety.
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A 1.8 m deep vertical wall trench is to be dug in soil without shoring. The soil has a unit weight of 19 kN/m^3, and angle of internal friction of 28 degrees. Cohesion is 20.16 kPa. Determine factor of safety against sliding
A vertical cut is made through a homogeneous soil mass (c=20kPa, φ=20deg, γ=16.5kN/m3). Using Culmann's method, determine the safe depth of the cut, taking a factor of safety of 2.0.
A vertical cut is made through a homogeneous soil mass (c=20 kPa,ϕ=20°,γ=16.50 ?? ?3 ⁄ ). Estimate thesafe depth of the cut, taking a factor of safety of 2 using Culmann’s method
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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- Wrong solution will be downvoted A cut of 5m is made in a 10m thick layer of stiff saturated clay which is underlain by a layer of sand a) How deep can the cut be further down without heaving? b) The cut has been filled with 1m height of water due to the last night rainfall. If you progress the excavation with this situation, discuss the change of the maximum possible depth of the cut without heavingarrow_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_forwardA cut slope of h= 7m was excavated in a saturated clay with a slope of angle beta = 45 degrees with the horizontal. The Previous explorations showed that a rock layer was located at a depth of 14 m. Given that, c = 60 kN/m² and unit weight = 17 kN / (m ^ 3) . Determine the factor of safety.arrow_forward
- Q9.1 - A 25-m high rock cut with a face angle of 60° has been excavated in a massive, very weak volcanic tuff. A tension crack has opened behind the crest and it is likely that the slope is on the point of failure, that is, the factor of safety is approx imately 1.0. The friction angle of the material is estimated to be 35°, its density is 25kN / (m ^ 3) and the position of the water table is shown on the sketch of the slope (Figure 4). The rock contains no continuous joints dipping out of the face, and the most likely type of failure mode is circular failure. Required- (a) Carry out a back analysis of the failure to determine the limiting value of the cohesion when the factor of safety is 1.0. (b) Using the strength parameters calculated in (a), determine the factor of safety for a completely drained slope. Would drainage of the slope be a feasible method of stabilization? (c) Using the ground water level shown in Figure 4 and the strength parameters calculated in (a), calculate the…arrow_forwardA cut slope was excavated in saturated clays as shown in the figure. The soil has a unit weight of 17 kN/m³ and an undrained shear strength cᵤ = 20 kPa. The slope make an angle of 60° with the horizontal. Assume stability number m = 0.185. Slope failure occurs along the plane AC with BC = 8 m. Which of the following most nearly gives the maximum depth in meters up to which the cut could be made?arrow_forward4. A cut is to be made in a soil having γ = 18 kN/m3, c = 40 kPa, and φ = 15°. The cut slope makes an angle of 30°. a. If H = 6 m and θ = 15°, find the force that tend to cause sliding.b. Find the frictional force.c. Find the cohesive force.d. Find the factor of safety.e. For a factor of safety of 2.0, find the value of the critical angle along which the maximum developed cohesion occurs. f. Determine the depth of cut for a factor of safety of 2.0g. Determine the developed shear stress along the failure plane h. Determine the developed normal stress alongthe failure plane.arrow_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_forwardConsider the smooth retaining wall shown in the figure below. Calculate the overturning moment at Point O in kN.m due to the surcharge only applied behind the wall. Assume that the surcharge is applied over a wide area. Consider a 1 m thickness in the out-of-plane directionarrow_forwardCalculate the factor of safety with respect to overturning and sliding of the gravity retaining wall. Use the Rankine active earth pressure in your calculation. check image for accurate data and for figurearrow_forward
- A 450 slope has been excavated to a depth of 8m in saturated clay which has following properties; undrained cohesion and angle of shearing resistance are 60 kPa and Zero degrees, unit weight is 20kN/m3. Determine the factor of safety for the trial failure surface whose radius is 12 m and arc length is 18.84 m. The area of the trail wedge is 70 m2 and centre of gravity of the trail wedge is 4.5 m away from the centre of the failure surface. Consider standard value for unit weight of water.arrow_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_forwardAn infinite slope consists of bed rock inclined at 15° to the horizontal that is covered by 4 m (measured vertically) soil with ?′=10?N/?2, ?′=24° and ?=19.0?N/?3.a. What is the factor of safety of this slope?b. If there is steady state seepage through the soil, with the water table coinciding with the ground level, what would be the factor of safety? Assume ?sat = 19.0?N/?3.arrow_forward
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