Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 14, Problem 14.12P
A braced wall is shown in Figure 14.20. Given: H = 7 m, naH = 2.8 m,
Figure 14.20
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1. Refer to Figure below For H = 6 m, y = 17.0 kN/m³,
o' = 36°, c' = 0, ß = 85°, a = 10°, and 8' = 24°, assume
that the backfill is in the active state and use Coulomb’s
equation to determine the magnitude, location, and direction
Pa
of the active thrust on the wall.
H
2. what would be the active thrust Pa
there is a surcharge of 25 kN/m² at the ground level?
when
12.2
), Figure P12.2, and 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, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°,
c' = 0, q = 20 kN/m², .
Repeat problem when water level
Groundwater
at ground surface.
Figure P12.2
Use Eq. (12.3), Figure P12.2, and the following values to determine the at-rest lateral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H2 = 3 m, γ = 15.5 kN/m3, γsat = 18.5 kN/m3, Φ' = 34º, c' = 0, q = 20 kN/m2, and OCR = 1.
Chapter 14 Solutions
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- 13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75 m, and the unit weight of the sand backfill is 18.7 kN/m². Using Coulomb's equation, calculate the active force, Pq. on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant. a. 8' = 14° b. 8' = 21° + Sand y = 18.7 kN/m³ c' = 0 d' = 34° e = 12° 8' (wall friction) e = 10° H= 9.75 m Figure 13.38 © Cengage Learning 2014arrow_forward13.2 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine active force per unit length of the wall, the variation of active earth pressure with depth, and the location of the resultant. If H = 4m, Ø = 36° and y = 18 kN/m3 kN Ans. P, = 37.44", z = 1.33m m 13.3 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine passive force per unit length of the wall, the variation of lateral earth pressure with depth, and the location of the resultant. If H = 5m, Ø = 35° and y = 14 kN/m? Ans. Pp 645.8 kN z = 1.67m m. Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0 Figure 13.9arrow_forward11.7 A retaining wall is shown in Figure 11.22. Determine the Rankine active force, Pa, per unit length of the wall and the location of the resultant for each of the following cases: a. H = 12 ft, H, = 4 ft, y, = 105 lb/ft, y= b. H = 20 ft, H, = 6 ft, y, = 110 lb/ft, y = 126 lb/ft', oi = 34°, d; = 34°, q = 300 lb/ft 122 Ib/ft', i = 30°, = 30°, q = 0 6 Cengage Learning. All Riphts Reserved. May not be copied, scanned, or duplicated, in whole or in part Due to elsctronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). s deemed that any suppressed content does nol maierially affect the overall learning exnerience Ceneaec ernin neerves the right to mrmove additional.contantarrow_forward
- Problem 3: A vertical retaining wall 6 m high is supporting a horizontal backfill having a weight 16.5 kN/m and a saturated unit weight of 19 kN/m?. Angle of trictian of the backfill is 30. Ground water table is located 3 m below the ground surface. 1. Determine the at rest lateral earth force per meter length of the wall. 3.0 m 2. Determine the location of the resultant force. 3. Determine the at rest lateral earth force per meter length af the wall if it carries a surcharge of 50 kPa. 3.0 marrow_forwardO For the earth retaining structure shown in the figure, determine the total active thrust on the wall, and the point of application of the thrust above the base of the wall. Given H = 5m, = 30°, C = 0, B=90°, h = 2.0 m, Ysat = 18 kN/m³. Ybulk =17 kN/m³ (above water table), q W = 250 kN/m². 5 m Dll. B= 90° q = 250 kN/m² h = 2.0 marrow_forwardA 9.5 m high wall retains a loose soil whose surface slopes downward. Above 15° from the horizontal the soil parameters are = 1.90 ton/m3 and = 32°. Find the thrust on the back per linear meter of wall, using the Rankine method. A) By means of pressure diagram. B) Using the formula proposed by Rankine B = 15° Y = 1.90 ton/m3 C = 0 ton/m2 Ф = 32° H = 9.5 marrow_forward
- 3) A retaining wall is illustrated IN THE Figure. Determine the Rankine active force, (Pa) per unit length of the wall and the location of the resultant. H = 9 m, H1 = 4 m, Υ1 = 16.5 kN/m3, Υ2 = 20.2 kN/m3, ø'1 = 30, ø'2 = 34, q= 21 kN/m2arrow_forwardThe backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 19 kN/m³. The height of the wall is 8 m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c'=0 and q'=38. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall?arrow_forward1. Determine the lateral force Pae for a proposed retaining wall 6 m high for a horizontal backfill and whose uniform weight is 16 KN/cu m. The back of wall is inclined 5° w.r.t. the vertical. Consider 8 = 15°, kv = 0 and kh = 0.10. Locate the position, z, of Pae above the base. Use Coulomb's active earth pressure coefficient to determine Pa. Refer to the formulas in lesson Module 8. [Additional data: angle of internal friction Ø=30°]arrow_forward
- A 6 m high wall retains dry sand whose dry density is 1.95 g/cc and the angle of shearing resistance is 32 degrees. Specific gravity is 2.65. Using Rankine Theory.1. Which of the following most nearly gives the total active thrust on the wall?a. 114.8 kNb. 162.4 kNc. 174.3 kNd. 105.72 kN2. Determine the thrust on the wall in kN per linear meter if due to clogged to a level of 2.5 m below the ground surface.a. 194.453 kNb. 182.567 kNc. 152.220 kNd. 108.765 kN3. At what height above the base of the wall the thrust acts during the wáter clogged condition?a. 2.21 mb. 2.00 mc. 1.75 md. 1.42 marrow_forwardQ2 A smooth backed wall is 6m height and retain a soil with the properties shown in the Figure below. If the soil surface carries a uniform distribution pressure of 50 kN/m*. Determine the total Rankine active stresses on the wall and its positions. q-50 kN/m? Sand y= 20 kN/m Ø' = 20°arrow_forwardQ.9 A smooth retaining wall is 4 m high and supports a cohesive backfill with a unit weight of 17 kN/m3. The shear strength parameters of the soil are cohesion =10 kPa and Ø = 10°. Calculate the total active thrust acting against the wall and the depth to the point of zero lateral pressurearrow_forward
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How to build angle braces; Author: Country Living With The Harnish's;https://www.youtube.com/watch?v=3cKselS6rxY;License: Standard Youtube License