Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 2, Problem 2.20P
To determine
Plot the shear stress at failure against normal stress.
Calculate the soil friction angle.
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20. A cohesionless sand sample was subjected to a triaxial shear test. Failure occurred when the normal stress is 400 KPa and the shear stress is 250 KPa. a. What is major principal stress? b. What is the minor principal stress
Following 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 N
A direct shear test was carricd out on a cohesive soil sample and the following
results were obtained.
Normal stress (kN/m*)
Shear stress at failure (kN/m)
What would be the deviator stress at failure if a Triaxial test is carried out on the
same soil with cell pressure of 150 (kN/m).
150
250
110
120
Chapter 2 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - For a normally consolidated soil, the following is...Ch. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27P
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- A triaxial shear test was performed on a well-drained sand sample. The normal stress on the failure plane and the shearing stress on the failure plane were determined to be 75kPa and 42kPa, respectively. Determine the angle of internal friction of the sand, in degrees.Determine the axial stress applied to the specimen, in kPa.arrow_forwardQuestion Table 1 gives data from a standard shearbox(direct shear) test on a sample of 125g of dry sand. The initial dimensions of the sample were 60mmx60mm on plan x20mm in height. The test was caried out at a constant normal effective stress of 50k:Pa. Take the specific gravity of the soil grains Gs=2.65. Plot graphs of (a) shear stress t against shear strain y; (b) volumetric strain evol against shear strain y; (c) specific vohume v against shear strain y. (d) Comment on these graphs and estimate the peak and critical state effective angles of friction of the soil. Table 1: Shearbox Data Relative horizontal Upward vertical movement Shear stress t (kPa) displacement x (mm) of shearbox lid y (mm) 0.00 0.000 0.02 0.002 19 0.04 0.008 34 0.06 0.016 43- 0.08 0.026 47 0.20 0.064 56 0.32 0.128 51 0.48 0.192 46 0.64 0.256 41 0.80 0.288 37 0.96 0.320 34 1.12 0.321 33arrow_forward2. 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_forward
- Direct shear test was conducted on soil specimen. It was observed that the specimen failed when V = 137KPa and P = 268KPa. In other soil sample, it failed at V = 210KPa and P = 412KPa. Determine the cohesion of the soil? Determine the internal angle of friction? What is the axial compressive stress when V = 243KPaarrow_forwardA specimen is subjected to a tri-axial test. The soil specimen is cohesionless. If the shear stress that cause failure is 3oo kPa and the normal stress at failure is only 475 kPa. 1. Determine the angle of shearing resistance. 2.Determine the angle that the failure plane measured from the major principal plane 3.Determine the maximum principal stress at which failure is expected to occurarrow_forwardAssume 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 lb/in.2, respectively. When the direct shear test is performed, what shear strength can be expected if the normal stress is 4000 lb/ft2?arrow_forward
- Table 1 gives data from a standard shearbox(direct shear) test on a sample of 125g of dry sand. The initial dimensions of the sample were 60mmx60mm on plan x20mm in height. The test was camried out at a constant normal effective stress of 50kPa. Take the specific gravity of the soil grains Gs=2.65. Plot graphs of (a) shear stress r against shear strain y; (b) volumetric strain evol against shear strain y; (c) specific volume v against shear strain y. (d) Comment on these graphs and estimate the peak and critical state effective angles of friction of the soil. Table 1: Shearbox Data Relative horizontal displacement x (mm) of shearbox lid y (mm) Upward vertical movement Shear stress t (kPa) 0.00 0.000 0.02 0.002 19 0.04 0.008 34 0.06 0.016 43- 0.08 0.026 47 0.20 0.064 56 0.32 0.128 51 0.48 0.192 46 0.64 0.256 41 0.80 0.288 37 0.96 0.320 34 1.12 0.321 33arrow_forwardA sand sample is subjected to direct shear testing at it's (in - situ) water content. Two tests are performed. For one of the tests, the sample shears at a stress of 400 kPa when the normal stress is 600 kPa. From these data,Determine the value of the apparent cohesion. Determine the corresponding angle of internal friction.arrow_forwardSolve this problem graphically and then analytically. A CU triaxial test was performed on a dense sand specimen at a confining pressure 03=40 kPa. The consolidated undrained friction angle of the sand is =39°, and the effective friction angle is d'=34°. Calculate: (a) the major principal stress at failure, o1, (b) the minor and the major effective principal stresses at failure, o'3f and oʻır, and (c) the excess pore water pressure at failure, (Aua)f.arrow_forward
- direct 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_forward2. A series of consolidated, undrained triaxial tests were carried out on specimens of a saturated clay under no backpressure. The test data at failure are summarized: Confining Pressure (kPa) Deviator Stress (kPa) Pore Water Pressure (kPa) 150 192 80 300 341 154 450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effective stresses. b. Compute Skempton’s A-parameter at failure for all three specimens. c. Is the soil normally consolidated or overconsolidated? Why? d. Another specimen of the same clay that was consolidated under a cell pressure of 250 kPa was subjected to a consolidated, drained triaxial test. What would be the deviator stress at failure?arrow_forwardTriaxial tests performed on samples of aeolin sand. The failure conditions in terms of effective stress are (ov, 0h) = (515, 100), (1250, 200), (3500, 400), and (5325, 800) kPa. Using (s, t) space, determine the cohesion and friction angle. What is the orientation of the major principal stress with respect to the failure plane? Determine this graphically.arrow_forward
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