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 9.10P
To determine
Find the required height (h) of water inside the cut in order to ensure a factor of safety of 1.5.
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A 10-m-thick layer of stiff saturated clay is underlain by a layer of sand (Figure 9.28). The sand is under artesian pressure. A 5.75-m-deep cut is made in the clay. Determine the factor of safety against heaving at point A.
A retaining wall with vertical back is 8 m. high. The density of top 3 m. of fill is 1.75 Mg/m³ and the angle of internal friction is 30°. For the lower 5 m. the values are 1.85 Mg/m³ and 35° respectively. There is a surcharge load on the horizontal surface of the fill equivalent to 1.2 Mg/m² uniformly distributed. Solve for the following questions below:
1. Find the magnitude of the thrust on the wall per linear meter if the fill is well drained.
2. Find the magnitude of the thrust on the wall per linear meter if the fill is waterlogged after a storm (Assume the saturated quantities of the two strata are 1.9 and 2.0 Mg/m³ respectively.)
3. Find the point of application of 5 points the thrust on the wall if the fill is waterlogged after a storm.
1.Prove the best hydraulic section for a rectangular channel. 2.Determine the best cross section for a semi~circular cross section
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- A trapezoidal channel with these conditions: Left side slope = 3H:2V Right side slope = vertical ... has a bottom width of 4 meters and depth of 6 meters. Determine the hydraulic radius in metersarrow_forwardA 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_forward1. Side slopes for rock fill 1V:2H. Calculate the minimum crest width of a breakwater using B = 3*kΔ*(W/γa)1/3 . Given data: Stone weight = (8) t, Specific weight = 2,7 t/m3, Layer thickness coefficient =1,00 and Porosity percentage = 37 2. For cubed shaped stone (or concrete), determine dimension of the stone for weight: W = (10+a) t, specific weight: γa = 2,4 t/m3arrow_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. (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?arrow_forwardA river bed consists of a layer of sand 8.25 m thick overlying impermeable rock; the depth of water is 2.50 m. A long cofferdam 5.50 m wide is formed by driving two lines of sheet piling to a depth of 6.00 m below the level of the river bed and excavation to a depth of 2.00 m below bed level is carried out within the cofferdam The water level within the cofferdam is kept at excavation level by pumping. Determine the factor of safety against failure by heaving adjacent to the face of the piling.arrow_forwardRefer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length ( measured along the axis of the structure).arrow_forward
- Determine the rate of seepage (in cubic feet/min) under the dam by drawing flow net to scale, and also determine the total uplift force (in psf) acting at the bottom of the dam at Points B and D per unit length of dam. The permeability of the silty sand is 0.2 ft/min. The drawing is to scale. Use scaled drawing (next page) for your flow net sketching and pressure calculations/evaluations. Upstream water level is at El. 94 ft. Downstream water level is at El 68 ft. Dam is 85 ft long and bottom is at el 60 ft. Ground surfaces on both upstream and downstream sides are at El 64 ft.arrow_forwardA smooth transition section connects two open channels of the same width, as shown in Figure P10.15. The water depth decreases so that the ratio of the downstream to upstream depths Y2/Y1 = 0.5. If the upstream Froude number F1 = 0.35, determine the downstream Froude number F2, and the ratio h/Y1.arrow_forwardUse 10 kN/m3 for unit weight of water. For a concrete structure that retains water, a flow net is sketched as shown in Figure H8-3. Noting the marked location of the Datum, answer the following: Mark on the figure all boundary Also mark the type of each boundary. Calculate the uplift pressures at points A, B, C, D, E, and F. Calculate the factor of safety against The seepage loss (q) per day per meter length of the (i.e. q in m3/day/m) if the permeability of the soil is k = 10-4 m/sec.arrow_forward
- Determine the relative density at each depth using attached equation. Assume moderately compressible sand and hence Qc = 1.arrow_forwardIf the water depth immediately upstream or downstream of a frictionless vertical moving cover in a rectangular channel is 0.3 m and the flow velocity is 6 m/s, what is the opposite depth in meters?arrow_forwardDetermine the hydraulic depth D (average depth) of a triangular channel with right angle corner (900) with a depth of 3 meters.arrow_forward
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