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 = 2 m, x4 = 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D = 1.5 m Soil properties: 1 = 17 kN/m³, ¢¹₁ = 32°, √2 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² Y₁ c₁ = 0 H Φ x4 x3 Χς x6 Y2 Use Coulomb's active earth pressure in your calculation and let 8' = 2/3 01. Use concrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P₂ = 0 in equation FS (sliding) (EV) tan(k102) + Bk2C₂ + Pp Pa cosa For 1 = 32°, α=0°, B = 71.57°, Ka = 0.45, 8′ = 21.33°. (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =

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 = 2 m, x4 = 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D = 1.5 m Soil properties: 1 = 17 kN/m³, ¢¹₁ = 32°, √2 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² Y₁ c₁ = 0 H Φ x4 x3 Χς x6 Y2 Use Coulomb's active earth pressure in your calculation and let 8' = 2/3 01. Use concrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P₂ = 0 in equation FS (sliding) (EV) tan(k102) + Bk2C₂ + Pp Pa cosa For 1 = 32°, α=0°, B = 71.57°, Ka = 0.45, 8′ = 21.33°. (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter13: Retaining Walls

Section: Chapter Questions

Problem 13.3P

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3. Compute the resultant lateral force for the soil-wall system shown in Figure 3. You may ignore tensile cracks. Use • A- Coloumb • B - Rankine 0=30°, y=20kN/m³ 4m Ground water table 7m c=50KN/m², p=10°, y=18KN/m³ 0=25°, y=20KN/m³ 8 m Gravity wall Figure 3
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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
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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
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
You are working for a consulting firm that has been asked to evaluate the factor of safety of the wall shown in the figure supported by a well-degraded sand. The resultant load behind the concrete wall acts at the one third point. Dw 1m 1.5 m 24 kN/m³ y = 20 kN/m³ 26.5 kN/m 24° = 34° n = 0.4 3 m (a) Determine the factor of safety if Dw − D > 1.5B. Ignore the lateral passive resistance due to the soil in front of the wall. (b) Determine the factor of safety if the ground water table rises to 0.5 m below the base of the wall. Discuss the significance of your observations.
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 lb/ft? , Y2 = 122 lb/ft? , þ1 = 30° , þ2 = 30° Sand Y1 H1 ci = 0 Groundwater table H. Sand Y2 (saturated unit weight) c2 = ( Frictionless wall
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-
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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The following figure shows a section of an anchored retaining wall embedded into a saturated stiff clay layer. The sand has a unit weight of = 18 kN/m³, c' = 0 kPa and o' = 34º. The clay has a unit weight of = 20 kN/m³, c₁ = 80 kPa and = 0°. A uniform pressure of 40 kPa is applied on the soil surface. The short term stability of the wall is considered in an undrained analysis. Use the Rankin's theory of lateral earth pressure to determine the active and passive horizontal stresses. You should apply the requirements of AS 4678 and the partial factors of safety method in estimation of soil pressures. Assume the soil is in-situ and use a structural classification factor of ₁ = 1. 3m 1m Water table 1.5m 40 kPa Not to Scale Sand Clay Ta