Question B1aQuestion B1a: A soil is assumed to obey Hook's law with the shear modulus G =8500kPa and Poisson's ratio v=0.18. Suppose an element of the soil is tested under axiallysymmetric stress and strain states. The initial stress of the soil at state A issigma'1 = 80 kPa, sigma'2 = sigma'3 = 60 kPa, and the voids ratio e is 1.91. sigma'1,sigma'2, and sigma'3 represent the three effective principal stresses for a stress state.The soil is then loaded proportionally to stress state B with sigma'1= 507 kPa andsigma'2 = sigma'3 = 250 kPa.The shear stress ratio at state B isAnswer:

Answered: Question B1a: A soil is assumed to obey…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A consolidated-drained triaxial test was conducted on a normally consolidated clay. The results kN o', = 276 kN (A0,), = 276 m² are as follows: Determine: (a) The angle of friction o; (b) The angle 0 that the failure plane makes with the major principal plane, and (c) The normal stress o’ and shear stress t, on the failure plane.
11. J The effective stress friction angle of a saturated, cohesionless soil is 38°. The ratio of shear stress to normal effective stress on the failure plane is (A) 0.781 (B) 0.616 (C) 0.488 (D) 0.438
During a triaxial test, the porewater pressure at failure is 80 kPa. If the total normal stress is 245 kPa and the soil has a cohesion of 12 kPa and ø' of 30°. Q: What is the shear strength of the soil considering effective stress? Round off your answer to the whole number.
A sample of soil (0.1 m X 0.1 m) is subjected to the forces shown in Figure below. Determine (a) σ1, σ3, and α;(b) the maximum shear stress; and (c) the stresses on a plane oriented at 30° counterclockwise from the major principal stress plane.
A sample of pure Clay, (C) soil with two specimens underwent an unconsolidated undrained test with a cell pressure of 50 kN/m2 and 100 kN/m2. The test is under short term analysis test. The results are as followings. From the result below, what is the shear strength of the soil? Cell pressure, kN/m² 50 100 Max Maximum deviator stress, kN/m² 120 170
The angle of friction of a compacted dry sand is 37 degrees. In a direct shear test on the sand, anormal stress of 150 kN/m^2 was applied. The size of the specimen was 50mmx50mx30mm(height) SITUATION 1 a. Compute the shearing stress Your answer b. What shear force will cause shear failure? Your answer c. Determine the shear stress at a depth of 3m if the void ratio of the soil is 0.60. Gs Of sand is 2.70
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A consolidated-drained triaxial test was conducted on a normally consolidated clay. The results were as follows: Determine: a. Angle of friction, f? b. Angle u that the failure plane makes with the major principal plane c. Normal stress, s?, and shear stress, tf , on the failure plane
A consolidated-undrained test determines that the shear strength of a normally consolidated clay is given by τf = σ’tan 27o. The confining pressure is 150 kPa, and deviator stress at failure is 120 kPa.• Find the consolidated-undrained friction angle• Pore water pressure developed in the specimen at failureFinal answer should be in 3 decimal places.
(a) A sample of dry sand is tested in direct shear. Under an applied normal stress of 4,800 psf, the sample falls when the shear stress reaches 3,100 psf. What is the angle of internal friction for this soil?(b) A second sample of the same sand material is also to be tested in direct shear, but the applied compressive loading will be 3,500 psf instead of 4,800 psf. What shear stress is expected to fail the sample?
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 stress
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