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 8, Problem 8.2P
To determine
Prove that the critical hydraulic gradient is
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Figure shows a semi-conical buttress. Calculate the total hydrostatic force acting
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Chapter 8 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - The soil profile at a site consists of 10 m of...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - A sand has Gs = 2.66. Calculate the hydraulic...Ch. 8 - Prob. 8.16PCh. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - Point loads of magnitude 9, 18, and 27 kN act at...Ch. 8 - Refer to Figure 8.13. The magnitude of the line...Ch. 8 - Refer to Figure 8.24. Determine the vertical...Ch. 8 - Consider a circularly loaded flexible area on the...Ch. 8 - A flexible circular footing of radius R carries a...Ch. 8 - The plan of a flexible rectangular loaded area is...Ch. 8 - Refer to Figure 8.26. The circular flexible area...Ch. 8 - Refer to Figure 8.27. The flexible area is...Ch. 8 - Prob. 8.26CTPCh. 8 - Prob. 8.27CTP
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- A rectangular channel with width = 10 meters and depth = 2 meters has a flow slope of 0.001 and roughness n = 0.025. The flow rate is 90 m3/s. Determine the shear stress on the channel in Pascals.arrow_forwardDerive the hydraulic exponent N by using the Chezy formula. a. Find the final form of N for trapezoidal channel with 1V: zH b. Find the value of Triangular channel with 1V: zH.arrow_forwardA canal of trapezoidal section has bed width of 8 m and bed slope of 1 in 4000. If the depth of flow is 2.4 m and side slopes of the channel are 1 horizontal to 3 vertical, determine the average flow velocity and the discharge carried by the channel. Also compute the average shear stress at the channel boundary. Take value of Chezy’s Constant = 50arrow_forward
- if Manning's N=0.023 and Hydraulic radius=3 m , then value of Chezy constant is ________?arrow_forwardA rectangular tank 6 m long, 3 m wide and 2m deep contains water to a depth of 1 m. It is accelerated horizontally at 2.5 m/s2 in the direction of its length. A. Determine the net force due to water acting on each end of tank. B. Determine the minumum pressure intensities at bottom C. Determine the slope of the free surfacearrow_forwardConsider a farm irrigation ditch in a loam soil having the following dimensions: bottom width= 0.6 m, total depth, 0.5 m, side slopes= 1.5 horizontal to 1 vertical, and depth of water= 0.4 m. If the bottom of the ditch has a uniform slope of 2 m/km, and if the bottom & sides are kept smooth and free from weeds, what will be the mean velocity(m/s) of flow and discharge in m^3/s? Use n = 0.02. Find the shear stress at the watersurface, at half flow depth, and the canal bottom in N/m2 (or Pa). What is the shear velocity in m/sec?arrow_forward
- A concrete dam retaining water is shown. If the specific weight of the concrete is 23.54 kN/m3, find the maximum pressure on the base. Assume there is no hydrostatic uplift and that the coefficient of friction between dam and foundation soil is 0.48. Y = 5.6 m B = 3.2 m W = 1.6 h = 4.8arrow_forwardDetermine the critical depth for best hydraulic cross-section of a trapezoidal channel that carries a flow of 6.5 m³/ s. Note: For Best Hydraulic Cross-Section; T = 2 z where T – top width and z-side length, and R = y/2.arrow_forwardA concrete gravity dam with a trapezoidal section is holding water as shown in the figure. A distance of 15 meters from the toe, a drain is located. The drain has a pressure due to uplift of zero and increasing uniformly to full hydrostatic at the heel. Upstream face 1H:5V, while downstream face is inclined 1H:2V. Which of the ff nearly gives the maximum foundation pressure on the base of the dam in kilopascal ? Assume 23.54 kN/m3 for the unit weight of concrete. a. 3114 b. 1095 c. 4115 d. 964 e. 680arrow_forward
- Please be detailed and clear with your solution. Figure shows a semi-conical buttress. Calculate the total hydrostatic force acting on the surface of this semi-conical buttress.arrow_forwardA circular door having a diam. of 3m closes a horizontal duct from a small diam. as shown. The center of the door is 4.5m below the dam’s water level. Assuming the unit weight of water is 9.79 kN/m3. Compute the hydrostatic force acting on the door.arrow_forwardWater flowing along a horizontal pipe has a speed of 2.77 m/s and a pressure of 4.41 atm. Further along, the pipe narrows so that the cross-sectional area decreases by a factor of 6.62. What is the pressure in the narrow section?arrow_forward
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ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning