Assignment on Shear Stress, Assignments of Environmental science

questions on shear stress for undergraduate students.

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2023/2024

Uploaded on 04/28/2026

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Assignment
Shear Strength of Soil
Geotechnical Engineering I - CE 206
Question 1
At a point in a plane stress condition:
σx= 20 MPa, σy= 80 MPa, τxy = 40 MPa
Find the maximum shear stress.
Question 2
At a point in soil:
σ1= 300 kPa, σ3= 100 kPa
The pore water pressure is:
u= 50 kPa
Find:
1. Effective principal stresses
2. Maximum shear stress (effective)
Question 3
A sample of dry sand is subjected to a triaxial test. The angle of internal friction is 37.
If the minor principle stress is 200 kPa, calculate the value of deviator stress at which the
sample will fail.
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Assignment

Shear Strength of Soil

Geotechnical Engineering I - CE 206

Question 1

At a point in a plane stress condition:

σx = 20 MPa, σy = 80 MPa, τxy = 40 MPa

Find the maximum shear stress.

Question 2

At a point in soil: σ 1 = 300 kPa, σ 3 = 100 kPa

The pore water pressure is: u = 50 kPa

Find:

  1. Effective principal stresses
  2. Maximum shear stress (effective)

Question 3

A sample of dry sand is subjected to a triaxial test. The angle of internal friction is 37◦. If the minor principle stress is 200 kPa, calculate the value of deviator stress at which the sample will fail.

1

Question 4

The following test results at failure conditions are obtained from consolidated undrained triaxial tests on samples from a saturated clay stratum.

σ 3 (kg/cm^2 ) σd (kg/cm^2 ) u (pore water pressure) (kg/cm^2 ) Sample 1 2.75 1.50 1. Sample 2 4.25 2.20 2.

Determine the shear strength parameters.

Question 5

An NC clay was consolidated at a stress of 150 kPa and then sheared undrained by com- pression. Deviator stress at failure is 100 kPa and pore water pressure is 88 kPa. Determine total and effective shear strength parameters.