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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: Calculate the factor of safety with respect to cohesion, when 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. If it is suddenly and completely emptied (Sn= 0.122), in both cases.

Solution:


Given Data:


  • Depth of excavation, h = 5 m

  • Unit Cohesion, c = 14 KN/m2

  • Angle of internal friction, Φ = 150

  • Void ratio, e = 0.8

  • Unit weight of soil, γ = 2.70 KN/m3

  • Banks slope, 1:1

  • Soil bearing capacity factor, N = 0.083 (when canal runs full)

  • Soil bearing capacity factor, N = 0.122 (when canal is emptied suddenly and completely)



Calculation for Full Canal:


  • Effective angle of shearing resistance, Φ' = Φ - (Φ/2)*e = 150 - (150/2)*0.8 = 75

  • Unit weight of water, γw = 9.81 KN/m3

  • Active earth pressure coefficient, Ka = (1 - sinΦ')/(1 + sinΦ') = (1 - sin75)/(1 + sin75) = 0.32

  • Passive earth pressure coefficient, Kp = (1 + sinΦ')/(1 - sinΦ') = (1 + sin75)/(1 - sin75) = 2.80

  • Unit weight of soil below canal, γ' = γ - γw = 2.70 - 9.81 = -7.11 KN/m3

  • Active earth pressure, Pa = Ka*γ'*h^2 = 0.32*(-7.11)*5^2 = -56.88 KN/m

  • Passive earth pressure, Pp = Kp*γ'*h^2 = 2.80*(-7.11)*5^2 = 393.96 KN/m

  • Net upward pressure, P = γw*h = 9.81*5 = 49.05 KN/m

  • Factor of safety against sliding, Fs = (P - Pa)/c = (49.05 - (-56.88))/14 = 7.34



Calculation for Empty Canal:


  • Effective angle of shearing resistance, Φ' = Φ - (Φ/2)*e = 150 - (150/2)*0.8 = 75

  • Unit weight
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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.?.
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