Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 13, Problem 13.7P
To determine
Find the factor of safety against sliding.
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The location of trial failure surface on a slope is shown in Figure and the stress components for each slice are
listed in Table.
Slice
Shearing
component
_(kN.m·')
-0.280
-0.227
0.383
3.214
6.543
8.368
9.792
Normal
component
(kŇ.m*)
1.911
7.745
13.139
16.344
17.625
16.718
12.125
0.486
Length of trial failure surface=11m
Soil friction angle 6°
Cohesion, c=28kPa
No.
1
3
4
6.
4.228
Trial Fallure
Surface
(a) Compute the driving stress.
(b) Compute the stabilizing stress.
(c) Analyze the safety of the slope.
Q4: For the soil element shown, compute the stresses acting on the plane inclined by 40° with the horizontal
plane then draw Mohr circle and place the stresses with respect to O.P.
20kPa
35kPa
100kPa
300
40°
The following data were obtained in a direct shear test. Normal pressure =20kN/m 2 , shear stress on the failure plane =16kN/m 2 . Angle of internal friction =20 ∘ , cohesion =8kN/m2. Represent the data by Mohr's Circle (by plotting) and show the principal stresses and the direction of the principal planes on the plot
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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- The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.arrow_forwardProblem 1- Determine the shear stress at points A to D for the following section. Also determine the maximum shear stress. Then plot the shear stress distribution. Given: V = 10 kN 300 mm 15 mm 395 mm 280 mm D 10 mm 10 mm 400 mmarrow_forwardParrow_forward
- The cross-sectional area of bar ABCD is 500 mm^2 . Determine the stress in segment BCarrow_forwardH.W 3: Using yield line theory for the isotropic slab shown below, find the uniformly collapse load (Wu) assume m* = m = m. 6 m 4 marrow_forward4. What are the normal and shear stresses at a point on a vertical fault plane where 0₁ and 0₂ are both horizontal and 03 is vertical? 0₂ is perpendicular to the plane. 0₁=2 kb 02= 1 kb 03= 500 barsarrow_forward
- Q.6.2 Determine the factor of safety against sliding on fracture surface for water table at the conditions below. Tension Crack 2. Given: y= 25 kN/m S = 20 kN/m?; = 25° a = 45° ; 8 = 30° %3D %3D %3D Fracture Surface u 01 4.23 marrow_forwardQ # 3. State the following Failure Theories; Also write their specific equations for Failure Criterion for 2D and 3D elements; and finally draw the 'INDIVIDUAL' and 'COMBINDED' Yield Surface using Haiagh-Westergaard Stress Space. 1. Maximum Principal Stress Theoryarrow_forwardH.W 2: _Find the collapse load (Wu) for the isotropic slab shown below by using yield line theory. Assume m* =m= 25 kN.m 6 m 4 m 3 m 3 marrow_forward
- A point within an embankment slope has a vertical normal stress (v) of 100 kPa, a horizontal normal stress (x) of60 kPa, and a horizontal shear stress (xy) of 20 kPa.(a) Determine the major and minor principal stresses.(b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, orcounterclockwise.(c) Draw the Mohr Circle and schematic of the element stress statearrow_forwardDetermine the shear stress at points A, B, C and D for the following section. Also determine the maximum shear stress, then plot the shear stress distribution. Given: V = 10 kN. 300 mm - 280 mm 400 mm A B 10 mm 15 mm 395 mm 10 mmarrow_forwarda. A shear vane test, done on a deposit of soft alluvial clay required a torque of 67.5 Nm. The dimensions of the vane were: D = 75 mm; H= 150 mm. What is the value for the undrained %3D shear strength of this clay soil?. 160 KN lun?arrow_forward
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