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Homework%2013-2009 - • Boussinesq’s solution(use...

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The University of Missouri Department of Civil Engineering Assigned: Wednesday, October 28, 2009 Due: Wednesday, November 4, 2009 CE 3400 - Homework No. 13 Stress Distribution 1. A column imparts a 650 kip load (1 kip = 1000 lb) to the top of a concrete footing on the ground surface. The footing is 2.5 ft thick and measures 5 ft by 7 ft in plan. Assume the footing distributes the column load uniformly to the soil and include the weight of the footing in computing the pressure applied to the ground surface ( γ concrete =150 pcf). Compute the change in vertical stress ( ∆σ v ) below the center (point A), corner (point B), and the mid-point of the long side (point C) of the footing. Compute these values at 5 ft increments, up to a depth of 30 ft. Use the following two methods to compute ∆σ v : Trapezoidal approximation with a 2:1 (vertical:horizontal) slope
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Unformatted text preview: • Boussinesq’s solution (use appropriate chart or table). Create three plots (one each for A, B, and C). Plot the results from both methods on the same graph, with stresses on the horizontal axis and depth on the vertical axis (increasing depth downward). Comment on the accuracy of the 2:1 method to estimate ∆σ v at points A, B, and C. A C B 5 ft. 7 ft. 2. A new hotel is shown below in plan and elevation views. The hotel has a 5-story structure along with a 10-story tower. Construction of the hotel imparts a uniform increase in pressure of 500 psf and 1000 psf as indicated. Find the increase in vertical stress at 50 feet below the ground surface at points A, B, and C. Use the Boussinesq solution. 60 ft 75 ft 80 ft 120 ft A B C q = 500 psf q = 1000 psf q = 500 psf q = 1000 psf Elevation View Plan View...
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