Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Textbook Question
Chapter 15, Problem 15.21P
Determine 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 γ = 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. 15.51
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Q9.1 -
A 25-m high rock cut with a face angle of 60° has been excavated in a massive, very weak volcanic tuff. A tension crack has opened behind the crest and it is likely that the slope is on the point of failure, that is, the factor of safety is approx imately 1.0. The friction angle of the material is estimated to be 35°, its density is 25kN / (m ^ 3) and the position of the water table is shown on the sketch of the slope (Figure 4). The rock contains no continuous joints dipping out of the face, and the most likely type of failure mode is circular failure.
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Q.1. Refer to the infinite slope shown in Figure 1. Given: β = 19 ͦ, ɣ = 20 kN/m3
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A vertical retaining wall 6 m high is supporting a horizontal backfill having a weight of 16.5 kN/m3 and a saturated unit weight of 19kN/m3. Angle of internal friction of backfill is 30°. Ground water table is located 3m below the ground surface.
Determine the at rest lateral earth force per meter length.Determine the location of the resultant force.Determine the at rest lateral earth force per meter length if it carries a surcharge of 50 KPa.
INCLUDE FBD.
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- 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_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 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_forward
- Determine the total active thrust, in kN/m, for a retaining wall (height 5.60 m) with horizontal backfill given the following properties: Unit weight = 17.42 kN/m3, angle of internal friction = 32 degrees, Cohesion = 11.76 kPa, Surcharge = 9.32 kPa.arrow_forwardDetermine the total active thrust, in kN/m, for a retaining wall (height 5.12 m.) with horizontal backfill given the following properties: Unit weight = 17.79 kN/m3, Angle of internal friction = 30°, Cohesion = 11.71 kPa, and Surcharge = 9.33 kPa.arrow_forwardConsider the smooth retaining wall shown in the figure below. Calculate the overturning moment at Point O in kN.m due to the surcharge only applied behind the wall. Assume that the surcharge is applied over a wide area. Consider a 1 m thickness in the out-of-plane directionarrow_forward
- A braced cut is carried out to 10 m depth at a site where the soil consists of 4 m of sand ( = 17.0 kN/m3, = 33) at the top underlain by 6 m of clay ( = 18.5 kN/m3, c = 35 kN/m2). a. What would be the average value of cohesion and the unit weight for the equivalent homogeneous soil profile? b. Show the lateral earth pressure envelope you would use in determining the strut loads.arrow_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_forwardFor the braced cut described in Problem 15.16, assume that all = 170 MN/m2. a. Determine the sheet pile section (section modulus) b. What is the section modulus of the wales at level A? 15.16 Refer to the braced cut in Figure 15.50, for which = 17 kN/m3, = 30, and c = 0. The struts are located at 3 m on center in the plan. Draw the earth pressure envelope and determine the strut loads at levels A, B, and C. FIG. 15.50arrow_forward
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