Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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It is required to design a cantilever retaining wall to retain a 5.0 m high sandy backfill. The dimensions of the cantilever wall are shown in Figure 15.52 along with the soil properties. Check the stability with respect to sliding and overturning, based on the active earth pressures determined, usinga. Coulomb's earth pressure theory (δ' = 24°), andb. Rankine's earth pressure theory.The unit weight of concrete is 24 .0 kN/m3
A retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m³, angle of resistance 32 and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine’s formula for active pressure of a cohesionless soil.
1. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry.
a. 73.1
b. 86.7
c. 62.4
d. 98.1
2. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface.
a. 112
b. 171
c. 147
d. 153
3. Find at what height above the base of the wall the thrust acts during the waterlogged condition.
a. 2.21 m
b. 2.00 m
c. 1.74 m
d. 1.42 m
In the figure shown, the concrete dam is 16m high and 13m wide at the base. If the specific weight of the concrete is 23.544KN/m^3 and height of water in the upstream side is 15m, find the factor of safety against sliding, factor of safety against overturning, and the unit pressure on the foundation. Assume there is a hydrostatic uplift that varies uniformly from full hydrostatic head at the heel of the dam to zero at the toe and that the coefficient of friction between the dam and the foundation is 0.50.
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- The cross section of a braced cut supporting a sheet pile installation in a clay soil is shown in Figure 14.22. Given: H = 12 m, clay = 17.9 kN/m3, = 0, c = 75 kN/m2, and the center-to-center spacing of struts in plan view, s = 3 m. a. Using Pecks empirical pressure diagrams, draw the earth-pressure envelope. b. Determine the strut loads at levels A, B, and C.arrow_forwardThe elevation and plan of a bracing system for an open cut in sand are shown in Figure 14.21. Using Pecks empirical pressure diagrams, determine the design strut loads. Given: sand = 18 kN/m3, ' = 38, x = 3 m, z = 1.25 m, and s = 3 m.arrow_forwardThe section of a concrete gravity dam is shown in the figure. The depth of the upstream side is 6.0 m. Neglect the hydrostatic uplift and use unit weight concrete equal to 24 kN/m3. The coefficient of friction between the base of the dam and foundation is 0.4. Determine the following: (a) factor of safety against sliding (b) factor of safety against overturning (c)the overturning moment acting against the dam in KN-m.arrow_forward
- A masonry dam (sp.gr. = 2.4) of trapezoidal cross-section is 20 m high. It has a thickness of 2 m at the top and 14 m at the bottomas shown in the figure.Coef. of friction under the foundation is 0.80 and assuming there is hydrostatic upliftthat varies linearly from one-half the hydrostatic head at the upstream edgeof the dam to zero at the downstream edge.Determinearrow_forwardThe section of a concrete gravity dam is shown in the figure. The depth of the water at the upstream side (y) is 6.4 m. Neglect hydrostatic uplift and use unit weight of concrete equal to 22.6 kN/m3. The coefficient of friction between the base of the dam and the foundation is 0.6. Determine the factor of safety against overturning.arrow_forwardDetermine the factor of safety against bottom heave for the braced cut described in Problem 15.18. Use Eqs. (15.66) and (15.70). For Eq. (15.70), assume the length of the cut, L = 18 m. 15.18 Refer to Figure 15.51 in which = 17.5 kN/m3, c = 60 kN/m2, and center-to-center spacing of struts is 5 m. Draw the earth pressure envelope and determine the strut loads at levels A, B, and C. FIG. 15.51arrow_forward
- A braced cut shown in Figure P19.3 is to be made to a depth of 9.0 m in a saturated clay deposit where the unit weight is 17.65 kN/m3 and the undrained shear strength is 30 kN/m2. The struts are spaced horizontally at 3.0 m center to center. Find the strut loads.arrow_forwardDiscuss Terzaghi’s Bearing Capacity Formulasarrow_forward. If the stress at the toe of a trapezoidal dam is the maximum stress at the base and is equal to 172.6675 kPa, determine the width of the base. The eccentricity is 0.0427 m and the weight of the dam is 993.600 kN. Neglect uplifting force.arrow_forward
- Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft.arrow_forwardThe section of masonry dam is shown in Fig. U. If the uplift pressure variesuniformly from full hydrostatic at the heel to full hydrostatic at the toe, but acts only 2/3 of the area of the base, find: (a) the location of the resultant, (b) factor safety against overturning, (c) factor of safety against sliding if the coefficient of friction between base and foundation is 0.60.arrow_forwardRefer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Figure P6.4arrow_forward
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