For the cantilever retaining wall shown in the figure below, let the following data be given: Wall dimensions: H = 6.5 m, x1 = 0.3 m, x2 = 0.6 m, x3 = 0.8 m, Soil properties: x4 = 2 m, x5 = 0.8 m, D= 1.5 m, a = 0° Y1 = 17.08 kN/m³, 1 = 36°, Y2 = 19.65 kN/m³, 2 = 15°, c₂ = 30 kN/m² For 2 = 15°: Nc = 10.98; N₁ = 3.94; N = 2.65. x3x2 - H 855 c=0 Φί x5 Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in equation (ΣV) tan(k₁₂) + Bk₂ť + Pp FS (sliding) Pa cosa (Enter your answers to three significant figures.) FS (o (overturning) FS(s (sliding) = FS (bearing) =

For the cantilever retaining wall shown in the figure below, let the following data be given: Wall dimensions: H = 6.5 m, x1 = 0.3 m, x2 = 0.6 m, x3 = 0.8 m, Soil properties: x4 = 2 m, x5 = 0.8 m, D= 1.5 m, a = 0° Y1 = 17.08 kN/m³, 1 = 36°, Y2 = 19.65 kN/m³, 2 = 15°, c₂ = 30 kN/m² For 2 = 15°: Nc = 10.98; N₁ = 3.94; N = 2.65. x3x2 - H 855 c=0 Φί x5 Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in equation (ΣV) tan(k₁₂) + Bk₂ť + Pp FS (sliding) Pa cosa (Enter your answers to three significant figures.) FS (o (overturning) FS(s (sliding) = FS (bearing) =

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter15: Retaining Walls, Braced Cuts, And Sheet Pile Walls

Section: Chapter Questions

Problem 15.5P

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For the cantilever retaining wall shown in Figure P13.1, let the following data be given: Wall dimensions: H = 8m x₁ = 0.40m x₂ = 0.60m Soil properties: Y₁ = 16.80kN/m³ Y2 = 17.60kN/m³ c=0 x3 = 1.50m x₁ = 3.50m x = 0.96m $₁ = 32° $½ = = 28° Figure P13.1 a. Calculate the factor of safety with respect to overturning. b. Calculate the factor of safety with respect to sliding. c. The magnitude of the pressure on the base at the toe. d. The magnitude of the pressure on the base at the heel. D = 1.75m a = 10° C₂' = 30kN/m² Use the Yconcrete = 23.58kN/m³. Also, use k₁=k₂ = 2/3 which are the factor to calculate for p' and Ca-
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Design a cantilever retaining wall shown in let the following data be given: Wall dimensions : H= 8 m, x1=0.4 m, x2=0.6 m, x3=1.5 m, x=3.5 m, X5=0.96 m, D = 1.75 m, a = 10° Soil properties : Y1 = 16.5 kN/m³, Q'r= 32°, y2 = 17.6 kN/m³, $'2= 28°, c'2=30 kN/m² Wall properties : Yconcrete = 23.58 kN/m³. Others : ki=k2= 2/3, Pp = 0 a) Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. b) Is the design of the wall satisfactory with respect to the overturning, sliding, and bearing capacity limit states? Analyze your results referred to the Factor of Safety against overturning, FOSO > 2.5 and Factor of Safety against sliding, FOSS > 1.5. で
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Calculate the second column of the lateral stiffness matrix (Ri2, 02 = 1) for the confined masonry cantilever wall shown. The footing, width = 1 m and length = 3 m, rests on a flexible soil with a subgrade coefficient equal to 10,000 ton/m2 x m. Suppose: Confinement columns: Ec = 2,000,000 ton/m2 thickness = 0.15 m Masonry wall: Ea = 500,000 tons/m2 Ea/Ga = 2.5 thickness = 0.15m
4. A retaining wall shown in the figure, determine the Rankine Active force, Pa, per unit length of the wall and the location of the resultant. H = 10 ft, H1 = 5 ft, Y1 = 105 Ib/ft? , Y2 = 122 Ib/ft? , 01 = 30° , $2 = 30° Sand H1 Y1 ci = 0 Groundwater table Н Sand Y2 (saturated unit weight) c2 = 0 Frictionless wall
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The cross section of a cantilever retaining wall is given below. Based on the given soil properties and wall geometry: (x = 23.5 kN/m³). Wall dimensions: H = 5 m, X₁ = 0.3 m, X₂=0.80 m, X3 = 1.25 m, X4 = 2 m, X5 = 0.55 m, D = 1 m Soil properties: y = 17 kN/m³, Ø₁ = 29°, 72= 18 kN/m³, 0₂ = 22°, c₂ = 30 kN/m² www Xs |—×3 →|· 1. Calculate the factor of safety with respect to: A. Overturning about the toe? Use a table to calculate the materials and moments. B. Sliding about the base of the footing? Use kl=k2= H FUS
The cross section of a cantilever retaining wall is given below. Based on the given soil properties and wall geometry: ( Knowing that y, = 23.5 kN/m³ ) Wall dimensions: H = 7 m, X, = 0.55 m, X, = 0.75 m, X, = 1.2 m, X, = 2.1 m, X, = 0.7 m, D = 1 m Soil properties: Y, = 17 kN/m², , y,= 18 kN/m², , kN/m² ーュート 1. Calculate the factor of safety with respect to: A. Overturning about the toe? B. Sliding about the base of the footing? Use kl=k2= マで
Figure Question 2 depicts the design of a gravity retaining wall for carthquake condition given: Kv-0 and Kh-0.37 What should be the weight of the wall for a zero-displacement condition? Use a factor of safety of 2.4. What should be the weight of the wall for an allowable displacement of 50.95 mm? Sand $:= 35° %3D Sand $=37 3. Figure Question 2 B Give a comprehensive detail on how to analyze a retaining wall
A retaining wall is to be constructed shown below. It has the following information: Soil Parameters Retaining Wall Specifications 01 = 30 degrees Y1= 18 kPa W1 0.4 m b;= 1.6 m b2= 1.2 m by= 0.7 m It- 0.3 m 2 = 28 degrees Y2- 17 kPa C2- 0 a- 28 degrees Va 20 kPa Cg- 15 kPa D- 1.6 m H- 4.5 m Yeoncrete 23.58 kN/m 8'- 2/34 H. 14 b, b, Figure 1 Determine 1) Ка 2) Determine the Coulomb active force per unit length of the wall, Pa kN/m 3) Overturning moment (Mo) at the toe kN- m/m 4) Total vertical forces kN/m 5) Resisting moment (Mo) at the toe kN- m/m
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