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A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2 and the principal stresses at failure was noted as 350 kN/m2 and 200 kN/m2 respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2 and ɸI = 23°, the pore water pressure at failure will be _____ kN/m2
Correct answer is '141-142.5'. Can you explain this answer?
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A completely saturated clay sample was tested in a UU test under a cel...
Concept:
From Mohr Coulomb failure criterion:
ɸI = effective angle of friction
cI = effective cohesion
= major effective principal stress at failure
= Effective cell pressureCalculation:
CI = 25 kN/m2
ɸI = 23°
Because in unconsolidated undrained test, total stress parameters are used
350 - uf = (200 - uf) × 2.283 + 75.54
350 - uf = 456.6 - 2.283 uf + 75.54
(2.283-1) uf = 456.6 + 75.54 – 350
uf = 141.96 kN/m2
Most Upvoted Answer
A completely saturated clay sample was tested in a UU test under a cel...
To solve this problem, we can use the effective stress principle to relate the principal stresses to the effective shear strength parameters.
The effective stress principle states that the effective stress at failure is equal to the difference between the principal stress at failure and the pore water pressure. In this case, since the clay sample is completely saturated, the pore water pressure is equal to the cell pressure.
Therefore, we have:
σf' = σ1' - σ3' - (σ1' - σ3')/2
Where:
σf' = effective stress at failure
σ1' = principal stress at failure (350 kN/m2)
σ3' = principal stress at failure (200 kN/m2)
Simplifying the equation:
σf' = (σ1' + σ3')/2
Substituting the given values:
σf' = (350 kN/m2 + 200 kN/m2)/2 = 275 kN/m2
Now, we can use the effective shear strength parameters to calculate the cohesion and friction angle of the clay layer.
The cohesion (c') is given by:
c' = (2cI + σf')/3
Substituting the given values:
c' = (2 * 25 kN/m2 + 275 kN/m2)/3 = 108.33 kN/m2
The friction angle (φ) is given by:
tan(φ) = (σ1' - σ3')/(2σ3')
Substituting the given values:
tan(φ) = (350 kN/m2 - 200 kN/m2)/(2 * 200 kN/m2) = 0.75
φ = tan^(-1)(0.75) = 36.87°
Therefore, the effective shear strength parameters of the clay layer are c' = 108.33 kN/m2 and φ = 36.87°.
The effective stress principle states that the effective stress at failure is equal to the difference between the principal stress at failure and the pore water pressure. In this case, since the clay sample is completely saturated, the pore water pressure is equal to the cell pressure.
Therefore, we have:
σf' = σ1' - σ3' - (σ1' - σ3')/2
Where:
σf' = effective stress at failure
σ1' = principal stress at failure (350 kN/m2)
σ3' = principal stress at failure (200 kN/m2)
Simplifying the equation:
σf' = (σ1' + σ3')/2
Substituting the given values:
σf' = (350 kN/m2 + 200 kN/m2)/2 = 275 kN/m2
Now, we can use the effective shear strength parameters to calculate the cohesion and friction angle of the clay layer.
The cohesion (c') is given by:
c' = (2cI + σf')/3
Substituting the given values:
c' = (2 * 25 kN/m2 + 275 kN/m2)/3 = 108.33 kN/m2
The friction angle (φ) is given by:
tan(φ) = (σ1' - σ3')/(2σ3')
Substituting the given values:
tan(φ) = (350 kN/m2 - 200 kN/m2)/(2 * 200 kN/m2) = 0.75
φ = tan^(-1)(0.75) = 36.87°
Therefore, the effective shear strength parameters of the clay layer are c' = 108.33 kN/m2 and φ = 36.87°.
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A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. Can you explain this answer?
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A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. 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 A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. 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 A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. Can you explain this answer?.
A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. 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 A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. 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 A completely saturated clay sample was tested in a UU test under a cell pressure of 250 kN/m2and the principal stresses at failure was noted as 350 kN/m2and 200 kN/m2respectively. If the effective shear strength parameters of this clay layer are cI= 25 kN/m2and ɸI= 23°, the pore water pressure at failure will be _____ kN/m2Correct answer is '141-142.5'. Can you explain this answer?.
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