In Problems 15.1 through 15.4, use Yconcrete 23.58 kN/m². Also inEq. (15.12), use k₁ = k₂ = 2/3 and P, = 0.15.1For the cantilever retaining wall shown in Figure P15.1, letthe following data be given:Wall dimensions:H=8m, x=0.4 m, x₂ == 0.6 m,x3 = 1.5 m, x4 = 3.5 m, x = 0.96 m,D= 1.75 m, a = 10°Soil properties:Y₁ =16.8 kN/m²,36°,17.6 kN/m³,= 28°,Y2c = 30 kN/m²Calculate the factor of safety with respect to overturning.sliding, and bearing capacity.DHพΦίX472Φ

SectionAreaWeight/Unit lengthLever armMoment about point O11/2*3.5*0.617 = 1.0791.079*16.8 =…

Answered: In Problems 15.1 through 15.4, use…

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 15.6P

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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
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.
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
1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Active force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) y (lb/ft') 15 19 120 Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0
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
IM No.: IM-C 12.1 Given: H = 12 ft, q = 0, y = 108 lb/ft', c' = (0, and o' 30°. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2. 12.2 Use the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H, = 2 m, H, = 3 m, y = 15.5 kN/m', y = 18.5 kN/m', ' = 34°, c' = 0, q = 20 kN/m², and OCR = 1. 12.3 Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with o = 0°, c = 500 lb/ft,y = 120 Ib/ft", a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, z.. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack. 12.4 A vertical retaining wall is 7 m high with a horizontal backfill. For the backfill, assume that y = 16.5 kN/m', ' = 26°, and c' = 18 kN/m2.…
A retaining wall is shown below to support two layers of soil. fc' = 23 MPa and fy = 420 MPa. Use 28mm diameter bars for the transverse reinforcement and 12mm for the longitudinal reinforcement. The parameters per layer are given below: Surcharge = qs = 8.04 kPa. Layer 1: H1 = 1.96m. γ = 15.74 kN/m3. Φ = 21 degrees Layer 2: H2 = 4.98m. Gs = 2.64. e = 0.44. S = 23.32%. Φ = 31 degrees. What is the minimum wall thickness (mm)?
13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75m. and the unit weight of the sand backfill is 18.7kN/m3. Using Coulomb's equation, calculate the active force, Pa, on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant.
Refer to Figure 12.3a. Given: H = 12 ft, q = 0, γ = 108 lb/ft3, c' = 0, and Φ' = 30º. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2.
A 6m vertical retaining wall is supporting a cohesion less horizontal back fill having a unit weight of 16kN/m3 and an angle off riction of 32 degrees. It carries a uniforms urcharge of15kN/m3. a)Determine the at rest lateral force per unit length of wall. b) Determine the Rankines active force per unit length of wall. c)Determine the Rankines passive force per unit length of wall.
A concrete retaining wall 8 m high is supporting a horizontal backfill having a dry unit weight of 16.25kN/m3. The cohesionless soil has an angle of internal friction of 33 degrees and a void ratio 0f 0.65. (Use four decimal places) A. Compute the rankine active force on the wall. B. Compute the rankine active force on the wall if water logging occurs at a depth of 3.5 from the ground surface. C. Compute the location of the resultant active force from the bottom.
Q.3. A retaining wall is shown in Figure 2. Determine Rankine’s active force, Pa, per unit length of the wall. Also determine the location of the resultant.

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