A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data: Wall dimensions: H = 6 m, x₁ = 0.6 m, x2 = 2 m, x3 = 2m, x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m Soil properties: 71 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² Y₁ c₁ = 0 H Φί x5 x6 Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation FS (sliding) (ΣV) tan(k102) + Bk2c2 + Pp Pa cos a (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =

Fundamentals of Geotechnical Engineering (MindTap Course List)
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Chapter15: Retaining Walls, Braced Cuts, And Sheet Pile Walls
Section: Chapter Questions
Problem 15.5P
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A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data:
Wall dimensions: H = 6 m, x₁ = 0.6 m, x2 = 2 m, x3 = 2m,
x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m
Soil properties: 71 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³,
2=22°, c₂ = 40 kN/m²
Y₁
c₁ = 0
H
Φί
x5
x6
Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation
FS (sliding)
(ΣV) tan(k102) + Bk2c2 + Pp
Pa cos a
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
=
Transcribed Image Text:A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data: Wall dimensions: H = 6 m, x₁ = 0.6 m, x2 = 2 m, x3 = 2m, x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m Soil properties: 71 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² Y₁ c₁ = 0 H Φί x5 x6 Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation FS (sliding) (ΣV) tan(k102) + Bk2c2 + Pp Pa cos a (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =
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