Principles of Geotechnical Engineering (MindTap Course List)
Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781337516877
Author: Das
Publisher: Cengage
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Chapter 16, Problem 16.13P

A square footing (B × B) must carry a gross allowable load of 1160 kN. The base of the footing is to be located at a depth of 2 m below the ground surface. If the required factor of safety is 4.5, determine the size of the footing. Use Terzaghi’s bearing capacity factors and assume general shear failure of soil. Given: γ = 17 kN/m3, c′ = 48 kN/m2, ϕ = 31 ° .

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7. A rectangular, unfinished concrete channel of 38-ft width is laid on a slope of 8 ft/mi. Determine the flow depth and Froude number of the flow if the flowrate is 400 ft³/s.
***Please MAKE SURE to include all parts that I have shown in the 8 steps here and follow them but also show work for the entire problem. Those are all correct I just need the entire worked out problem with all of the work.
***When answering the question MAKE SURE to use ALL of these steps and include them in the answer and don't answer the question in a different manner that is different than what is provided here as what is provided is correct (please include the work as well thanks I will like the answer): 1.correct equation: (ΔP / (ρg)) + ΔZ = f * (L / D) * (v^2 / 2g) + (v^2 / 2g) * ΣK_L 2.v = Q / A = 9.17 ft/s 3. Reynolds number: Re = (v * L) / ν = (v * L) / (ρ * μ) = 63,154 4.The pipe is smooth so: ε_d = 0 5.Friction factor from the Moody diagram: f = 0.020 6.Pressure difference: ΔP = P₁ - P₂ = P₁ - 8640 lb_f 7.Head loss due to elevation difference: ΔZ = Z₁ - Z₂ = -10 ft 8.Summation of pipe fittings and losses: ΣK_L = 0.2 + 7 + 2(1.5) + 0.05 = 10.25 9.values to plug in Length of the pipe: L = 20 ft Diameter of the pipe: D = 1/12 ft Fluid density: ρ = 1.94 slugs/ft³ Gravitational acceleration: g = 32.2 ft/s²
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