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cee130-sp05-mt1-Chopra-soln

# cee130-sp05-mt1-Chopra-soln - x-direction 200 kN(tension in...

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UNIVERSITY OF CALIFORNIA, BERKELEY Department of Civil and Environmental Engineering Spring Semester, 2005 Instructor: A. K. Chopra CE 130 – MIDTERM EXAMINATION NO. 1 Please Note: 1. Write your answers on these sheets. 2. Show all computations; identify your answers. Problems Maximum Points Points Scored 1 10 2 10 3 10 Total 30 NAME:

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1. The symmetric triangular piece shown in the figure is cut from a 1-in. thick plate. Determine the increase in length of this piece caused by its own weight when hung from the top. The weight density (or unit weight) of the material is γ ; the elastic modulus is E .
2. A rectangular steel block such as shown has the following dimensions: a = 50 mm, b = 75 mm, and c = 100 mm. The faces of this block are subjected to uniformly distributed forces of 180 kN (tension) in the

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Unformatted text preview: x-direction, 200 kN (tension) in the y-direction, and 240 kN (compression) in the z-direction. Determine the magnitude of a single system of forces acting only in the y-direction that would cause the same deformation in the y-direction as the initial forces. Let v = 0.25. 3. A hollow circular shaft of linearly elastic material of length L has an outside diameter of d = 4 in., and inside diameter d i = 3 in. Determine the minimum diameter d for a solid shaft of the same material to replace the hollow shaft so that in the new shaft neither the maximum stress nor the angle of twist exceed the same quantities in the original design....
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cee130-sp05-mt1-Chopra-soln - x-direction 200 kN(tension in...

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