Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 12, Problem 12.3P
To determine
Find the shear force required to cause failure.
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For a dry sand specimen in a direct shear test box, the following are given:
• Angle of friction: 38°
• Size of specimen: 2 in. X 2 in. X 1.2 in. (height)
• Normal stress: 20 lb/in.?
Determine the shear force required to cause failure.
Assume that both a triaxial shear test and a direct shear test are to be performed on a sample of dry sand. When the triaxial shear test is performed, the specimen fails when the major and minor principal stresses are 80 and 20 lbs/in^2, respectively. When the direct shear test is performed, what shear strength can be expected if the normal stress is 4000 lbs/ft^2?
Assume that both a triaxial shear test and a direct shear test are to be performed on a sample of dry sand. When the triaxial shear test is performed, the specimen fails when the major and minor principal stresses are 80 and 20 lbs/in^2, respectively. When the direct shear test is performed, what shear strength can be expected if the normal stress is 4000 lbs/ft^2? Show all work.
Chapter 12 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Prob. 12.7PCh. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10P
Ch. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Following are the results of...Ch. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17PCh. 12 - Prob. 12.18PCh. 12 - Prob. 12.19PCh. 12 - Prob. 12.20PCh. 12 - Prob. 12.21PCh. 12 - Prob. 12.22PCh. 12 - Prob. 12.23PCh. 12 - Prob. 12.24PCh. 12 - Prob. 12.1CTP
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- A sample of sand is sheared in the following manner. First an all around normal stresso 350 kPa is applied to the sample. Next a shear stress is applied to the horizontal pia while the normal stress remains constant. The shear stresses at failure are + 186 kPa. Ihe initial stress and stress condition at failure are shown below 350 kPa 350 kPa 186 kPa 350 kPa 350 kPa ー550 kPa 550 kPa 186 kPa 350 kPa 350 kPa Initial Conditions At Failure Determine the Following: fo A) Assuming c, = 0, draw a failure envelope for the soil. Define the friction angle ( the soil. B) Draw the Mohr's Circle at failure for the test. C) Show the location of the pole. D) Define the maximum and minimum principal stresses at failure. E) Define the normal stress corresponding to the maximum shear stressarrow_forwardCan TRIAXIAL TESTS be performed on sand samples? Briefly explain. The results of an undrained triaxial test on a clay soil sample are given in table below Cell Pressure (kN/m2) 200 400 600 Additional Axial Load at Failure (N) 342 388 465 Each sample, originally 76mm long and 38mm in diameter, experienced a vertical deformation of 5.1mm. Evaluate the stress at failure for each cell pressure given in table above. Draw Mohr Circles and determine the shear strength parameters of the soil.arrow_forwarddirect shear test were performed on a dry sand. the specimen is 50mm in diameter and 25mm in height. test results were follows: Normal force, N = 243 Shear Force, N = 124 Normal force, N = 268 Shear Force, N = 137 Normal force, N = 352 Shear Force, N = 179 Normal force, N = 412 Shear Force, N = 210 determine the cohesion and angle of internal frictionarrow_forward
- 2. A sample of saturated clay of height 20 mm and water content 30% was tested in an oedometer. Loading and unloading of the sample were carried out. The thickness Hf of the sample at the end of each stress increment/decrement is shown in the table below. o: (kPa) H, (mm) 100 200 400 200 18.68 100 18.75 20 19.31 18.62 a. Plot the results as void ratio versus o'z (log scale). b. Determine Cc and Cr.arrow_forwardHomeworkarrow_forward5,The following result were obtained from a series of undrained triaxial test carried out on undisturbed samples of a compacted soil: Each sample is originally 76mm Long and 38mm in diameter, experienced a vertical deformation 2 mm Draw the strength envelop & Determine coulomb equation for the shear strength of the soil in terms of total stresses, Cell pressure (kPa) Additional axial load at Failure (N) 100 350 250 400 400 500arrow_forward
- A pressure force of P = 75 kN is applied to the rectangular prism shaped test sample with dimensions a = 20 mm, b = 30 mm, c = 20 mm, within the limits of proportionality. After loading, the measured changes in sample dimensions are Aa = -0.012 mm, Ab = 0.005 mm. Calculate the normal stress (o,) on the prism. Calculate the transverse strain (ɛz) and the longitudinal strain (ɛy). Calculate the Poisson's ratio (v) and the modulus of elasticity (E) of the material. Calculate the change in length (Ac), along the x -axis. SOLUTIONarrow_forwardFollowing data are given for a direct shear test conducted on dry sand: Cylindrical specimen dimensions: diameter = 50 mm and height = 25 mm Normal stress: 0.15 N/mm2 Shear force at failure: 276 N Determine the angle of friction of this soil. Normal Stress = 0.15 N/mm2 Shear Force = 276 N Shear Force = 276 Narrow_forwardQ # 3. Following data are given for a direct shear test conducted on dry sand: Specimen dimensions: 63 mm x63 mm and 25 mm (height). Normal stress: 105 kN/m?. Shear force at failure: 300 N a. Determine the angle of friction, for a normal stress of 180 kN/m?. b. What shear force is required to cause failure?arrow_forward
- A series of direct shear tests were conducted on a sample of soil in a 60 mm square shear box. The table below shows the results that were obtained at failure. Plot the graph of shear stress at failure against normal stress anddetermine the strength parameters of the soil. Normal Load (N) 200 300 400 Shear Load (N) 105 142 180arrow_forwardQuestion 10 A clay specimen was tested in undrained direct shear, under a normal stress of 50 kPa. The peak shear stress measured was 32 kPa and the critical state shear stress measured was 22 kPa. What is the critical state undrained strength of the clay specimen? Express your answer in kPa, but write only the numeric answer in the text boxarrow_forwardA direct shear test was conducted on dry sand with an area of the specimen = 2 in. x 2 in. The results were Graph the shear stress at failure against normal stress and determine the soil friction angle, Φ'.arrow_forward
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