Principles Of Geotechnical Engineering, Si Edition
9th Edition
ISBN: 9781305970953
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 15, Problem 15.11P
To determine
Find the height (H) of the slope that will have a factor of safety of 2.95 against sliding.
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H.W
For the stressed soil element shown in Figure, determine:
a. Major principal stress (0₁) and minor principal stress (03)
b. Angle between horizonal plane (DC) on the soil element and major
principal plane
c. Normal and shear stresses on the plane AE
Use the theoretical(equations) method and the pole method.
100 kN/m²
D
+
A
500 kN/m²
B=15
E
C
500
kN/m²
100 kN/m²
B
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
Answer T for true statements or F for false ones:
1. The Griffith criterion is seen to have a steeper slope at high confining pressures
2. In a Mohr t-ở plot the Tresca criterion appears simply as a straight horizontal line.
3. Pore collapse is usually caused by excessive hydrostatic stress.
4. Biot hypothesized that the shear modulus is influenced by the presence of the pore fluid.
5. Pure shear failure depends on the intermediate principle stress.
6. Tensile failure usually occurs when the greatest effective principal stress surpasses
the formation rock tensile strength.
7. Failure plane is always inclined at an angle larger than 45° to the direction of o;
8. Unloading path is different from the loading path in perfectly elastic materials.
9. The orientation of the failure plane is independent of the confining stress
10.The modified Griffith criterion is based on the idea that the microcracks will close at
sufficiently high pressure levels.
Chapter 15 Solutions
Principles Of Geotechnical Engineering, Si Edition
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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Similar questions
- Q2\ Answer T for true statements or F for false ones: 1. The Griffith criterion is seen to have a steeper slope at high confining pressures 2. In a Mohr t-ờ plot the Tresca criterion appears simply as a straight horizontal line. 3. Pore collapse is usually caused by excessive hydrostatic stress. 4. Biot hypothesized that the shear modulus is influenced by the presence of the 5. Pure shear failure depends on the intermediate principle stress. 6. Tensile failure usually occurs when the greatest effective principal stress surpasses the formation rock tensile strength. 7. Failure plane is always inclined at an angle larger than 45° to the direction of oi 8. Unloading path is different from the loading path in perfectly elastic materials. 9. The orientation of the failure plane is independent of the confining stress 10. The modified Griffith criterion is based on the idea that the microcracks will close at sufficiently high pressure levels. pore fluid.arrow_forwardSoil Mechanics. Solve ASAP. A soil profile is shown in the following figure. Calculate the values of σ, u and σ’ at point A, B, C and D. Plot the variation of σ, u and σ’ with depth. Values are given in figure.arrow_forwardFor 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 30 40°arrow_forward
- Figure 3 shows the stresses at failure for a point in a soil mass. Note A.U. (a) Draw the Mohr Circle for this point. (b) Determine the Pole Location. (c) Determine 01 and 03. (d) If the soil cohesion, c = 1.0, what is the friction angle of the soil, o? (e) Determine Tƒƒ and off. (f) What are the orientation of the failure planes, cr? 2 3 5 20° 51°arrow_forwardThe soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?arrow_forwardExample A direct shear test when conducted on a remolded sample of sand, gave the following observations at the time of failure; Normal force = 288 N; shear force 173 N. The cross sectional area of the sample= 36cm². Determine the angle of frictional. Solved in 2 ways, namely graphically and analytically (31 degrees) Barrow_forward
- An earth embankment is shown in the figure. Determine the stress increase at point B due to the embankment load. Use 2 methods. 7 m 15 m Unit weight y = 19 kN/m3 8 m Barrow_forwardPlease give me both answers right solution Soil mechanics, Mohr's circle An element of soil at the point of failure is represented as a square with effective stresses applied to it as normal (σ') and shear (τ) stresses. If (σ'a, τ) = (54,12) kPa and (σ'b,τ) = (20,12) kPa, determine the angle of shearing resistance for the soil φ' in degrees (°) to 1 decimal place.arrow_forwardA soil profi le consists of a clay layer underlain by a sandlayer, as shown in Figure P7.17. If a tube is inserted intothe bottom sand layer and the water level rises to 1 mabove the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. IfKo is 0.5, determine the lateral effective and lateral totalstresses at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stressthere to be zero?arrow_forward
- Subject: Soil Mechanics Please provide a solution and a diagram A granular soil is subjected to a minor principal stress of 200 kN/m2. If the angle of internal friction is 30°. What is the shear stress on the plane of failure? a. 173.2 b. 224.2 c. 200 d. 300arrow_forwardSITUATION 2: A sample of dry soil is subject to a tri-axial test and is found to have an angle of friction equal to 29° and a minor principal stress of 150 kPa. 8. Determine the deviator stress of failure of the soil sample. a. 282.309 kPa b. 186.556 kPa c. 1046.36 kPa d. 141.155 kPa 9. The value of major principal stress óf failure. b. 366.556 kPa d. 432,309 kPa a. 291.155 kPa c. 1196.36 kPa 10. The normal stress when the soil where shear occurs on the failure plane is most likely equal to: a. 282.998 kPa c. 222.721 kPa b. 272.721 kPa d. 232.998 kPaarrow_forward2: An embankment shown in the figure is constructed. compute the vertical stress increment under Points A. B. and C at z = 10 m Use vertical stress Increment under an embankment loads? 10 m 12 m 10 m Y₁-192 kN/m² Take value of 15 from chart s6v=9[sarrow_forward
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