Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305723351
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 13, Problem 13.9P
To determine
Find the vertical spacing of the reinforcement
Find the maximum tie length L.
Find the lap length
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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.
.A 6 m vertical retaining wall is supporting a horizontal backfill of a normally consolidated soil having a unit weight of 18 kN/m3 and a friction angle of 35 degrees. Cohesion of soil is zero. (Use four decimal places)
A. Determine the at rest force per unit length of the wall.
B. Determine the active force develop at the wall.
C. Calculate the passive force acting on the wall.
For the concrete gravity retaining wall shown in
Figure (2), find the minimum base width of
the wall for no tension to develop at the edge
of the base. use yc = 24.0 kN/m³
F
6.0 m
B
kN
m³
Yt 18.0-
Ø=30.0°
8 = 0.0⁰
C₁=0
Figure No. 2
Chapter 13 Solutions
Principles of Foundation Engineering, SI Edition
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- 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.arrow_forwardFor the cantilever retaining wall shown, if the F.O.S. (Overturning)= F.O.S. (Sliding), find: 1. The width B 2. Least value of Ø to make the wall stable against sliding om INT deperst. B "S=f(Ø)* 5 of=34 kN/m + Yeone: = 24," Sand: 8=17 S=0 Clay! Øn = Cu = 63.75 HO / kN/m²arrow_forwardConsider a 3-m-high (H) retaining wall with a vertical back and a horizontal granular backfill. Given: y = 15.7 kN/m³, 8' = 15°, and d' = 30°. Estimate the passive force, P, by using a. Coulomb's theory b. Shields and Tolunay's solution (method of slices) K, cos 8' 18 16- 14- 12- 10- 8- 6- 4 2- 0 482 Chapter 14: Lateral Earth Pressure 20 25 0.4 0.2 40 0 30 35 Soil friction angle, d' (deg) FIG. 14.20 Variation of K, with o' and 8/4' (Based on Shields and Tolunay's analysis) 0.8 0.6arrow_forward
- Z 0 y = 15.72 kN/m³ ₁ = 30° 2m c = 0 1 m Groundwater table Ysat 18.86 kN/m³ 2 = 26° c₂= 10 kN/m² (a) For the retaining wall shown in picture, determine the Rankine passive force and the Rankine active force per unit length of the wall. Also find the location of the resultant line of action.arrow_forwardIM 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.…arrow_forwardConsider the wall shown below. Dimensions are in meters. sand O' = 30 0.5 0.5 > 1 K Determine the active force acting on the wall. Circle your answer. b. а. Determine the FS for sliding. Circle your answer. Determine the FS for overturning. Circle your answer. d. Determine the FS for overturning if a row of tiebacks is placed 2 meters below the backfill's ground surface. Tieback spacing is 2 meters. The capacity of each tieback is 50 kN. Circle your answer. C.arrow_forward
- For the cantilever retaining wall shown in figure. Check/Analyze whether the wall is safe against overturning and sliding or not. If Ka=0.44 and Kp=2.30 and coefficient of friction=0.42. Use fc'=28 MPa and fy-420 4:27 МРа. 0-91 1-33m 2.22m 4.om.arrow_forward1- 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) = 0arrow_forwardQuestion 1: The cross-section of a cantilever retaining wall is shown below. Calculate the factor of safety with regards to overturning, sliding and bearing capacity (Use Rankine). Use Yeonerete = 23.58 kN/m³ and k, =k, = 2/3 F10 0.5 m H =0.458 m Yi = 18 kN/m³ di=30° cj=0 H2=6 m 10 1.5 m = D 0.7 m H3=0.7 m C + 0.7 m + 0.7 m →l+- 2.6 m 9 kN/m³ d'½=20° cz=40 kN/m²arrow_forward
- Q5: In the case of the retaining wall depicted below. Calculate the lateral earth fore at rest per unit length of the wall. Determine the location of the resulting force as well as its magnitude. [25] y = 16.5 kN/m $ = 30 C = 0 Ground v Water table 2.5m Yur = 19.3 kN/m 0 = 30 C = 0 2.5m Good Luckarrow_forwardQ.12 Two soil profile are used as backfill defined a retaining wall as shown in figure, where y, is total unit weight and d' and ' are effective shear parameters. Find the resultant active earth pressure is kN/m 2m 2m TKK 3 = 18 kN/m 3 1/2 = 20 kN/m c'= 0, 6 =30° d' = 0, & =40°arrow_forwardA vertical retaining wall 6 m. high retains a soil having the following properties. Unit weight of cohesionless soil = 19.2 kN/m3, angle of internal friction = 30°. The ground surface behind the wall is inclined at a slope of 3 horizontal and 1 vertical and the wall has moved sufficiently to developthe active condition.• Compute the Rankine’s coefficient of active earth pressure.• Compute the normal force acting on the back of the wall using Rankine’s theory.• Compute the vertical component of the force acting on the back of the wall using Rankine’s Theory.arrow_forward
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