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Unformatted text preview: University of California, Berkeley Dept. of Civil and Environmental Engineering Spring Semester 2009 1 CE 121 — Advanced Structural Analysis Homework Set #4 (due Feb. 20, 2009) 1. Problem (5 points) 1. Determine the collapse load factor for the truss in the figure under the given loading. The truss elements exhibit perfectly plastic behavior with axial force capacity in tension and compression equal to 50 units of force. 2. Determine all basic forces at collapse. 3. Determine the support reactions at collapse and check global equilibrium. 2. Problem (5 points) For the same structure in Problem 1: 1. Set up the compatibility relations between element deformation and free global DOF displacements in the form ? = ? ¡ . 2. Show that the compatibility matrix ? is equal to the transpose of the equilibrium matrix ¢ . 3. Assume now that elements b and c are delivered longer than shown in the above figure: element b by 0.1 and element c by 0.2 units of length. Elements a and e are delivered element b by 0....
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 Fall '09
 filippou
 Civil Engineering, Force, Environmental Engineering, Deformation, Truss, Dept. of Civil and Environmental Engineering

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