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In a UU Triaxial compression test on a ϕ = 0 soil, failure was observed at a deviatoric stress of 60 kN/m2 under a confining stress 50 kN/m2 of the confining stress is increased to 100 kN/m2, the deviatoric stress at failure is
- a)60 KN/m2
- b)110 KN/m2
- c)120 KN/m2
- d)160 KN/m2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a UU Triaxial compression test on a = 0 soil, failure was observed...
Given data
Φ = 0
Deviator stress (σd) = 60 kN/m2
Initial cell pressure or confining stress (σ3) = 50 kN/m2
final confining pressure (σ3') = 100 kN/m2
We know that
σ1 = σ3 + σd
where σ1 = initial principal stress
σ1 = 50 + 60 = 110 kN/m2
σ1 = 110 kN/m2
Also, we know that-
σ1 = σ3tan2(45 + Φ/2) + 2C tan(45 + Φ/2)
Where C = cohesive strength of soil
110 = 50 × tan2(45 + 0) + 2C × tan(45 + 0)
110 = 50 + 2C
C = 30 kN/m2
Cohesive strength of soil is 30 kN/m2
σ1' = σ3'tan2(45 + Φ/2) + 2C tan(45 + Φ/2)
σ1' = Final principal stress
σ1' = 100 × 1 + 2 × 30 = 160 kN/m2
Let deviatoric stress at failure is σd' at failure
σ1' = σ3' +σd'
160 = 100 + σd'
σd' = 160 - 100 =60 kN/m2
σd' = 60 kN/m2
Deviatoric stress at failure is 60 kN/m2.
Φ = 0
Deviator stress (σd) = 60 kN/m2
Initial cell pressure or confining stress (σ3) = 50 kN/m2
final confining pressure (σ3') = 100 kN/m2
We know that
σ1 = σ3 + σd
where σ1 = initial principal stress
σ1 = 50 + 60 = 110 kN/m2
σ1 = 110 kN/m2
Also, we know that-
σ1 = σ3tan2(45 + Φ/2) + 2C tan(45 + Φ/2)
Where C = cohesive strength of soil
110 = 50 × tan2(45 + 0) + 2C × tan(45 + 0)
110 = 50 + 2C
C = 30 kN/m2
Cohesive strength of soil is 30 kN/m2
σ1' = σ3'tan2(45 + Φ/2) + 2C tan(45 + Φ/2)
σ1' = Final principal stress
σ1' = 100 × 1 + 2 × 30 = 160 kN/m2
Let deviatoric stress at failure is σd' at failure
σ1' = σ3' +σd'
160 = 100 + σd'
σd' = 160 - 100 =60 kN/m2
σd' = 60 kN/m2
Deviatoric stress at failure is 60 kN/m2.
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Community Answer
In a UU Triaxial compression test on a = 0 soil, failure was observed...
Explanation:
1. Initial Triaxial Compression Test:
- Deviatoric stress at failure: 60 kN/m2
- Confining stress: 50 kN/m2
2. Relationship Between Confining Stress and Deviatoric Stress:
- In a triaxial compression test, the deviatoric stress at failure is influenced by the confining stress.
- As the confining stress increases, the deviatoric stress at failure also tends to increase.
3. Effect of Increasing Confining Stress to 100 kN/m2:
- If the confining stress is increased from 50 kN/m2 to 100 kN/m2, the deviatoric stress at failure is expected to increase.
4. Answer:
- Since the initial deviatoric stress at failure was 60 kN/m2, and there is no information provided about the soil behavior or any other factors affecting the relationship between confining stress and deviatoric stress, the most logical assumption would be that the deviatoric stress at failure remains the same at 60 kN/m2, even when the confining stress is increased to 100 kN/m2.
Therefore, the correct answer is option 'A' - 60 kN/m2.
1. Initial Triaxial Compression Test:
- Deviatoric stress at failure: 60 kN/m2
- Confining stress: 50 kN/m2
2. Relationship Between Confining Stress and Deviatoric Stress:
- In a triaxial compression test, the deviatoric stress at failure is influenced by the confining stress.
- As the confining stress increases, the deviatoric stress at failure also tends to increase.
3. Effect of Increasing Confining Stress to 100 kN/m2:
- If the confining stress is increased from 50 kN/m2 to 100 kN/m2, the deviatoric stress at failure is expected to increase.
4. Answer:
- Since the initial deviatoric stress at failure was 60 kN/m2, and there is no information provided about the soil behavior or any other factors affecting the relationship between confining stress and deviatoric stress, the most logical assumption would be that the deviatoric stress at failure remains the same at 60 kN/m2, even when the confining stress is increased to 100 kN/m2.
Therefore, the correct answer is option 'A' - 60 kN/m2.
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In a UU Triaxial compression test on a = 0 soil, failure was observed at a deviatoric stress of 60 kN/m2 under a confining stress 50 kN/m2 of the confining stress is increased to 100 kN/m2, the deviatoric stress at failure isa)60 KN/m2b)110 KN/m2c)120 KN/m2d)160 KN/m2Correct answer is option 'A'. Can you explain this answer?
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In a UU Triaxial compression test on a = 0 soil, failure was observed at a deviatoric stress of 60 kN/m2 under a confining stress 50 kN/m2 of the confining stress is increased to 100 kN/m2, the deviatoric stress at failure isa)60 KN/m2b)110 KN/m2c)120 KN/m2d)160 KN/m2Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a UU Triaxial compression test on a = 0 soil, failure was observed at a deviatoric stress of 60 kN/m2 under a confining stress 50 kN/m2 of the confining stress is increased to 100 kN/m2, the deviatoric stress at failure isa)60 KN/m2b)110 KN/m2c)120 KN/m2d)160 KN/m2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a UU Triaxial compression test on a = 0 soil, failure was observed at a deviatoric stress of 60 kN/m2 under a confining stress 50 kN/m2 of the confining stress is increased to 100 kN/m2, the deviatoric stress at failure isa)60 KN/m2b)110 KN/m2c)120 KN/m2d)160 KN/m2Correct answer is option 'A'. Can you explain this answer?.
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