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 10, Problem 10.18P
To determine
Draw the three Mohr circles and plot the failure envelope in terms of effective stresses.
Calculate
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8. A cohesionless (c' = 0 kPa) soil specimen was subjected to a consolidated-undrained triaxial test. The total stress
path, the deviator stress, and the pwp are shown in the figures below. No scale is intended in the figure of the stress
path.
a.
Determine o'₁ and 0's at failure. [o'₁ = 345 kPa, o's= 140 kPa]
b.
Determine the effective friction angle (') of the soil. [$' = 25°]
C. Determine the 'A' pore water pressure parameter at failure. [A+ = 0.29]
250
-Deviator Stress
q (kPa),
200
150
100
50
200
p (kPa)
Deviator stress or PW/P (kPa)
5
10
Vertical strain (%)
---PWP
15
20
2. 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?
Determine the fracture pressure at 3,000 ft for Gulf Coast using Hubbert & Willis, Matthews
& Kelly and Eaton's methods. The available data for this formation is given as
%=0.41
K=0.000085 A-¹
Pg=2.6
P=1.074
Fa=0.45
hand written plz
μ=0.36
Chapter 10 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
Ch. 10 - Prob. 10.11PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24CTPCh. 10 - Prob. 10.25CTP
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- Triaxial 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_forwardAt failure, the major and minor principal stresses on a triaxial test are 200 kPa and 110 kPa respectively. If the porewater pressure at failure is 25 kPa... Q: What is the sine of the angle of shearing resistance of the soil? Round off your answer to two decimal places.arrow_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_forward
- 3. The following table shows the shear test results along the foliation surfaces of gneisses. The area of the discontinuity surface is 6.4*10-3 m2. a) Fill in the table b) Calculate the slip resistance parameters of the gnaysa ). (use millimeter paper) Experiment No. Shearing Normal Load Shearing Normal burden Tensile Stress (kg) (kg) (kg/cm2) (kg /cm? 1 750 500 1400 1200 3 1600 1400 4 2000 1800 2500 3500 6. 3000 4250arrow_forwardThe table shows the results of a consolidated undrained (CU) test on a overconsolidated clay soil sample. Sample No Cell Pressure (kPa) Deviator stress at failure (kPa) Pore water pressure at failure (kPa) 1 15 20 10 2 30 25 15 For the given data, plot the effective stress Mohr's circles at failure. Estimate the effective shear strength parameters C' amd phi'.arrow_forwardA 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_forward
- 4. Flow net is used for the determination of (a) Quantity of seepage (b) Hydrostatic pressure (c) Seepage pressure (d) All of them. 5. Both the shear stress and the normal stress on the plane of failure are measured directly in (a) CD triaxial shear test (b) CU triaxial shear test (c) Direct shear test (d) Unconfined compression test 6. In a consolidated undrained test on an over-consolidated clay, the volume of the soil sample during shear: (a) decreases (b) first decreases and then increases (c) first increases and then decreases (d) remains unchanged.arrow_forwardThree specimens of clay having a small air-void content were tested in the shear box. Shear loading was started immediately after the application of the normal load and was completed in 8 minutes. The results are as follows: 241 117 3 3 Normal Stress (kN/m²) 145 Shear stress at failure (kN/m²) 103 Find the apparent cohesion of the clay. 337 131 Find the angle of shearing resistance of the clay. What value of c would be obtained from an unconfined compression test on the same soil?arrow_forwardA series of unconsolidated undrained (UU) triaxial compression tests have been performed on two "identical" clay specimens. The test results are as follows: Test Number Confining Pressure (kPa)| Deviator Stress at Failure (kPa) 102 96 (i) (ii) 1 2 50 100 Plot the total stress Mohr circles for both specimens at failure (indicate the major and minor principal stresses on the plot). Draw the total stress Mohr-Coulomb failure envelop (i.e., the "p=0" envelop). Estimate the undrained shear strength.arrow_forward
- A soil specimen is subjected to a tri – axial test. The soil specimen is cohesionless. If the shear stress that causes failure is 300 kPa. and the normal stress at failure is only 500 kPa 5. Determine the angle of shearing resistance in degrees 6. Determine the angle that the failure plane measured from the major principal plane. 7. Determine the total axial stress in kPa at which failure is expected to occur.arrow_forwardA square hollow bar having an outside dimension of 250 mm by 250 mm with 6 mm thick is to be replaced by a soild circular bar. a. Determine the required diameter of bar so that the maximum shear stress in the bar will not exceed the maximum shear stress in the tube. b. If the computed value of diameter in the previous question increase by 15%, what is the new shear stress of the circular bar? Determine the angle of twist in degrees of the tube if the length of the tube is 1m and the shear modulus is 80 GPa. Use T=14 kN-m.arrow_forwardThree specimnens of clay having a small air-void content were tested in the shear box. Shear loading was started immediately after the application of the normal load and was completed in 8 minutes. The results are as follows: Normal Stress (kN/m2) Shear stress at failure (kN/m2) O Find the apparent cohesion of the clay. Find the angle of shearing resistance of the clay. What value of c would be obtained from an unconfined compression test on 145 241 337 103 117 131 the same soil?arrow_forward
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