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A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.?
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A new canal is excavated to a depth of 5 m below ground level, through...
Problem Statement
A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely emptied (Sn= 0.122), in both cases?
Solution
Calculation of Factor of Safety when Canal Runs Full
Given,
Depth of canal, D = 5 m
Slope of banks = 1:1
Cohesion, c = 14 kN/m2
Angle of internal friction, Φ = 15°
Void ratio, e = 0.8
Unit weight of soil, G = 2.70 kN/m3
Effective stress at the bottom of the canal, σ' = γD = 2.70 × 5 = 13.50 kN/m2
The total vertical stress at the bottom of the canal, σv = γD + (1/2)γD = 2.70 × 5.5 = 14.85 kN/m2
The horizontal stress at the bottom of the canal, σh = (1/2)σv = 7.43 kN/m2
The effective stress, σ' = σv - σh = 6.42 kN/m2
The shear strength of soil, τ = c + σ'tanΦ = 14 + 6.42 × tan15° = 15.16 kN/m2
The factor of safety with respect to cohesion, FSc = τ/ Sn = 15.16 / 0.083 = 182.17
Calculation of Factor of Safety when Canal is Emptied Suddenly
Given,
Depth of canal, D = 5 m
Slope of banks = 1:1
Cohesion, c = 14 kN/m2
Angle of internal friction, Φ = 15°
Void ratio, e = 0.8
Unit weight of soil, G = 2.70 kN/m3
Effective stress at the bottom of the canal, σ' = γD = 2.70 × 5 = 13.50 kN/m2
The total vertical stress at the bottom of the canal, σv = γD + (1/2)γD = 2.70 × 5.5 = 14.85 kN/m2
The horizontal stress at the bottom of the canal, σh = (1/2)σv = 7.43 kN/m2
The effective stress, σ' = σv - σh = 6.42 kN/m2
The shear strength of soil, τ = c + σ'tanΦ = 14 + 6.42 × tan15° = 15.16 kN/m2
The factor of safety with respect to cohesion, FSc = τ/ Sn = 15.16 / 0.122 = 123.93
Explanation
The factor of safety is a
A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely emptied (Sn= 0.122), in both cases?
Solution
Calculation of Factor of Safety when Canal Runs Full
Given,
Depth of canal, D = 5 m
Slope of banks = 1:1
Cohesion, c = 14 kN/m2
Angle of internal friction, Φ = 15°
Void ratio, e = 0.8
Unit weight of soil, G = 2.70 kN/m3
Effective stress at the bottom of the canal, σ' = γD = 2.70 × 5 = 13.50 kN/m2
The total vertical stress at the bottom of the canal, σv = γD + (1/2)γD = 2.70 × 5.5 = 14.85 kN/m2
The horizontal stress at the bottom of the canal, σh = (1/2)σv = 7.43 kN/m2
The effective stress, σ' = σv - σh = 6.42 kN/m2
The shear strength of soil, τ = c + σ'tanΦ = 14 + 6.42 × tan15° = 15.16 kN/m2
The factor of safety with respect to cohesion, FSc = τ/ Sn = 15.16 / 0.083 = 182.17
Calculation of Factor of Safety when Canal is Emptied Suddenly
Given,
Depth of canal, D = 5 m
Slope of banks = 1:1
Cohesion, c = 14 kN/m2
Angle of internal friction, Φ = 15°
Void ratio, e = 0.8
Unit weight of soil, G = 2.70 kN/m3
Effective stress at the bottom of the canal, σ' = γD = 2.70 × 5 = 13.50 kN/m2
The total vertical stress at the bottom of the canal, σv = γD + (1/2)γD = 2.70 × 5.5 = 14.85 kN/m2
The horizontal stress at the bottom of the canal, σh = (1/2)σv = 7.43 kN/m2
The effective stress, σ' = σv - σh = 6.42 kN/m2
The shear strength of soil, τ = c + σ'tanΦ = 14 + 6.42 × tan15° = 15.16 kN/m2
The factor of safety with respect to cohesion, FSc = τ/ Sn = 15.16 / 0.122 = 123.93
Explanation
The factor of safety is a
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A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.?
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A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? 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 new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.?.
A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? 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 new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.?.
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A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.?, a detailed solution for A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? has been provided alongside types of A new canal is excavated to a depth of 5 m below ground level, through a soil having following characteristics: c = 14 KN/m2, Φ = 150, e=0.8 and G=2.70. The slope of banks is 1 in 1. Calculate the factor of safety with respect to cohesion, when the canal runs full (Sn = 0.083). If it is suddenly and completely empted (Sn= 0.122), in both cases.? theory, EduRev gives you an
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