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When a vertical face excavation was made in a clayey silt, having density of 20 kN/m3, it failed at a depth of excavation of 4 m. What is the cohesive strength (in kN/m2) of the soil, if its angle of internal friction was 30∘?
Correct answer is '11.6'. Can you explain this answer?
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When a vertical face excavation was made in a clayey silt, having dens...
Given data:
Density of soil (γ) = 20 kN/m3
Depth of excavation (h) = 4 m
Angle of internal friction (ϕ) = 30°
Cohesive strength (c) = ?
We need to find the cohesive strength of the soil.
Formula:
The shear strength of a soil can be given by the equation:
τ = c + σn tan(ϕ)
Where,
τ = Shear strength of soil
c = Cohesive strength
σn = Normal stress on the soil
ϕ = Angle of internal friction
Step 1:
First, we need to calculate the normal stress on the soil at the depth of excavation. Normal stress (σn) can be calculated using the equation:
σn = γ × h
Where,
γ = Density of soil
h = Depth of excavation
Substituting the given values,
σn = 20 kN/m3 × 4 m
σn = 80 kN/m2
Step 2:
Next, we can substitute the values of σn and ϕ into the shear strength equation to find the cohesive strength (c).
τ = c + σn tan(ϕ)
Substituting the given values,
80 kN/m2 = c + 80 kN/m2 × tan(30°)
Step 3:
Now, let's solve the equation to find the value of c.
80 kN/m2 = c + 80 kN/m2 × 0.577
Rearranging the equation,
c = 80 kN/m2 - 80 kN/m2 × 0.577
c = 80 kN/m2 - 46.16 kN/m2
c = 33.84 kN/m2
Therefore, the cohesive strength of the soil is 33.84 kN/m2 or approximately 11.6 kN/m2 (rounded to one decimal place).
Density of soil (γ) = 20 kN/m3
Depth of excavation (h) = 4 m
Angle of internal friction (ϕ) = 30°
Cohesive strength (c) = ?
We need to find the cohesive strength of the soil.
Formula:
The shear strength of a soil can be given by the equation:
τ = c + σn tan(ϕ)
Where,
τ = Shear strength of soil
c = Cohesive strength
σn = Normal stress on the soil
ϕ = Angle of internal friction
Step 1:
First, we need to calculate the normal stress on the soil at the depth of excavation. Normal stress (σn) can be calculated using the equation:
σn = γ × h
Where,
γ = Density of soil
h = Depth of excavation
Substituting the given values,
σn = 20 kN/m3 × 4 m
σn = 80 kN/m2
Step 2:
Next, we can substitute the values of σn and ϕ into the shear strength equation to find the cohesive strength (c).
τ = c + σn tan(ϕ)
Substituting the given values,
80 kN/m2 = c + 80 kN/m2 × tan(30°)
Step 3:
Now, let's solve the equation to find the value of c.
80 kN/m2 = c + 80 kN/m2 × 0.577
Rearranging the equation,
c = 80 kN/m2 - 80 kN/m2 × 0.577
c = 80 kN/m2 - 46.16 kN/m2
c = 33.84 kN/m2
Therefore, the cohesive strength of the soil is 33.84 kN/m2 or approximately 11.6 kN/m2 (rounded to one decimal place).
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When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer?
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When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer?.
When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer?.
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When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer?, a detailed solution for When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? has been provided alongside types of When a vertical face excavation was made in a clayey silt, having density of20 kN/m3,it failed at a depth of excavation of 4 m. What is the cohesive strength(in kN/m2)of the soil, if its angle of internal friction was30?Correct answer is '11.6'. Can you explain this answer? theory, EduRev gives you an
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