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 9, Problem 9.9P
To determine
Find the maximum permissible depth (H) of the cut before the occurrence of heaving.
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A rectangular channel 5.8 m wide by 1.4 m deep was laid to have a hydraulic slope of 0.001. Using n = 0.013. (a) What is its yield in cubic meter per second? (b) What savings in earth excavation could be realized by using most economical proportion? (c) What savings in lining per meter length could be realized by using most economical proportion?
A 20-ft-deep cut for a basement excavation is specified to be sloped at 1:2 (one horizontal to two vertical). The upper 40 ft of soil at the site consists of a homogeneous clay with a density of 90 pcf and an unconfined compressive strength averaging 2400 psf. The water table is at great depth. Can the cut be made? If so, what is the factor of safety for the slope? Is the slope safe enough for normal work to progress in the excavation without danger?
Refer to the braced cut shown below. Given: unit weight = 17 kN/m3, Friction angle = 35degrees, and c = 0. The struts are located at 3 m center-to-center in the plan. a. Draw the earth-pressure envelope and determine the strut loads at levels A, B, and C. b. Determine the sheet-pile section modulus c. Determine the section modulus of the wales at level B Assume that = 170 MN/m2.
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Principles of Geotechnical Engineering (MindTap Course List)
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- Wrong solution will be downvoted A cut of 5m is made in a 10m thick layer of stiff saturated clay which is underlain by a layer of sand a) How deep can the cut be further down without heaving? b) The cut has been filled with 1m height of water due to the last night rainfall. If you progress the excavation with this situation, discuss the change of the maximum possible depth of the cut without heavingarrow_forwardDetermine (a) the lateral earth pressure distribution for the braced cut analysis (including shape and value of earth pressure), (b) the strut loads for the horizontal supports of the braced cut. The lateral spacing, S,between the struts is 3 m. (c) Determine the factor of safety against bottom heave, if the length and width of the excavation are 20 m and 15 m,respectively, and the depth of the bottom of the excavation to the gravel layer is 6 m.arrow_forward1.Prove the best hydraulic section for a rectangular channel. 2.Determine the best cross section for a semi~circular cross sectionarrow_forward
- A rectangular channel 5.8 m wide by 1.4 m deep was laid to have a hydraulic slope of 0.001. Using n = 0.013. 1. What is its yield in cubic meter per second? 2. What savings in earth excavation could be realized by using most economical proportion? 3. What savings in lining per meter length could be realized by using most economical proportion?arrow_forwardAn exploratory drill hole was made in a stiff saturated clay (Gs = 2.72, and w = 35%). The sand layer underlying the clay was observed to be under artesian pressure. Water in the drill hole rose to a height of 12 ft above the top of the sand layer. If an open excavation is to be made in the clay, how deep can the excavation proceed before the bottom heaves?arrow_forward(i). Calculate lateral earth pressure for the basement structure. Use the following data, depth of wall 8m, cohesion = 0, angle of friction = 25°, soil type = clay, OCR=2.0, bulk unit weight = 19 kN/m3. (ii)What will change if we would have coarse sand behind the retaining wall instead of clay? Assume compacted coarse sand behind retaining wall and get the recommended values of Cohesion and friction for sand from literature and calculate lateral earth pressure for wall with dimensions given in section (i) and compare both results.arrow_forward
- A temporary excavation, with a 1 horizontal on 2 vertical slope, is to be performed in a stratum of clay 100 ft thick with an undrained shear strength of 2000 psf. The total unit weight of the clay is 125 pcf. If the safety factor must be at least 2.0, what is the maximum permissible depth of the excavation?arrow_forward. A triangular fill with dimensions as shown below is piled on the slope. The shear strength parameters of the plane between the fill material and the slope were determined as 12 kPa and 25°. Since the unit weight of the fill is 18.5 kN/m3, calculate the factor of safety against sliding.arrow_forwardRedo Problem 14.1 with the following: L1 = 3m, L2 = 6 m, γ = 17.3 kN/m3, γsat = 19.4 kN/m3, and ϕ′ = 30°. 14.1 Figure P14.1 shows a cantilever sheet-pile wall penetrating a granular soil. Here, L1 = 4 m, L2 = 8 m, γ = 16.1 kN/m3, γsat = 18.2 kN/m3, and ϕ′ = 32°. What is the theoretical depth of embedment, D? For a 30% increase in D, what should be the total length of the sheet piles? Determine the theoretical maximum moment of the sheet pile.arrow_forward
- A wide excavation is made on a site which has the following soil conditions: 0-2 m Gravel: gsat = 21.8 kN/m3, gdry = 18.5 kN/m3 2-6 m Silty sand: gsat = 19.6 kN/m3, gdry = 18.4 kN/m3 6-21 m Heavy Clay: gt = 20 kN/m3 21 m and below: PERVIOUS sandstone The water table is at a depth of 1.5 m below the ground level. The piezometric pressure head at the top of the pervious sandstone is 5 m above the ground surface. If an excavation of depth 10 m is required, and a factor of safety of 1.5 against heave at the bottom of the clay layer is set, calculate the pressure head reduction required in sandstone.arrow_forwardQUESTION: 1.) Determine the best hydraulic section for rectangular channel that can carry 200 m3/min. 2.) Determine the best hydraulic section for trapezoidal channel that can carry 200 m3/min.arrow_forwardThe figure shows a weir, the base of which is 6m below the ground. The necessary flow net has also been drawn assuming Kx = Kv = K. K = 0.005 m⁄sec. Compute the following: rate of seepage through the foundation in liters/sec. uplift pressure at“f”. uplift force per unit length measured along the axis of thearrow_forward
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