Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 14, Problem 14.15P
To determine
Find the passive force per unit length of the wall.
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Q: For the retaining wall shown in the following figure, determine the force per unit length of
the wall for Rankine's active state. Also find the location of the resultant.
3 m
z 3 m
y = 16 kN/m³
' = 30°
c' = 0
Groundwater table
Y sat = 18 kN/m³
' = 35°
c' = 0
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.
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/m2
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 11.7 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_forward13.22 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_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_forward
- 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.arrow_forwardQ5: 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_forward12.2 ), 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 P12.2arrow_forward
- 2- Figure below shows a retaining wall that is restrained from yielding. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Passive force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) H1 (ft) 71 (lb/fr) 72 (lb/ft³) p'ı q (lb/fr²) 10 5 90 122.4 34 26 100 Surcharge = q Sand c{ = 0 Groundwater table H Sand Y2 (saturated unit weight) có = 0 Frictionless wallarrow_forward13.1 Figure 13.9 shows a retaining wall that is restrained from yielding. Determine the magnitude of the lateral earth force per unit length of the wall. Also, state the location of the resultant, z, measured from the bottom of the wall. If H = 7m, Ø' = 38°,y = 17 kN/m³,0CR = 2.5 Unit weight = y (or density = c' = 0 8' (angle of wall friction) = 0 Figure 13.9 Ans. P. kN 281.55 Z = 2.33m m.arrow_forwardFor a rigid retaining wall as seen in the following figure, compute Coulomb's active lateral earth thrust against the wall face AB and the point of application of the resultant force. H (m) 4 4 Wall Friction Angle, 8 (degree) 20 17 (degree) 0 0 0 (degree) 0 0 Backfill Soil Property 7 (kN/m³) 19.2 18.5 с (degree) (kPa) 40 0 34 0 H B a Sandy backfill with unit weight y and angle of internal friction P₁arrow_forward
- 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. 2arrow_forwardUse 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.arrow_forwardA frictionless retaining wall is shown ih the figure below. q= 10 kN/m 1= 15 kN/m o = 26° d'=8 kN/m 4 marrow_forward
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