Hwrk_7-08

Hwrk_7-08 - 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 #7 (due March 14, 2008) 1. Problem (5 points) Set up the compatibility relations between element deformation and free global degree-of- freedom displacements in the form f f = A VU . Show that the compatibility matrix f A is equal to the transpose of the equilibrium matrix f B . 4 4 3 3 a b c d e 1 2 3 4 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 with the required length. What should be the length of member d so as to avoid stresses due to restraint? Suppose that you were given all element lengths and corresponding deformation values from the
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Hwrk_7-08 - UNIVERSITY OF CALIFORNIA, BERKELEY Spring...

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