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Hwrk_2-08 - UNIVERSITY OF CALIFORNIA BERKELEY Spring...

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1 UNIVERSITY OF CALIFORNIA, BERKELEY Dept. of Civil and Environmental Engineering Spring Semester 2008 Instructor: Filip C. Filippou CE 121 – Advanced Structural Analysis Homework Set #2 (due Feb. 8, 2008) 1. Problem (5 points) 10 10 10 5 12 15 1 2 3 4 5 a b c d 1 2 3 4 5 a b c d 2.5 The two span beam in the figure is to be analyzed for two loading conditions, as shown. 1. Number the global degrees of freedom (dof) in the most complete way without accounting for the axial dof's, which are obviously not relevant for this loading. 2. Set up the equilibrium equations in terms of the element forces Q and the applied forces at free dofs f P , i.e. f f = B P Q for the first loading case. 3. Remove trivial equations from the equilibrium equations in question (2) and renumber free
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