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Hwrk_8_Solution

# Hwrk_8_Solution - 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 #8 (due March 21, 2008) 1. Problem (5 points) The deformations of the statically indeterminate truss in the figure are given in the following vector V . Node 4 is located midway between nodes 3 and 5. 1. Confirm that the given element deformations are compatible with a unique set of global dof displacements. 2. Use the compatibility relations to determine the horizontal displacement at node 3. 3. Use the principle of virtual forces to answer question (2) and make a comparison of the two approaches. 4. Use a second independent virtual force system to confirm the horizontal displacement value at node 3. 0.003704 0.0020833 0.0042130 0.0072111 0.0042130 0.0072111 0.0020833 0.0018519 0.0018519 = V 1 2 3 4 5 1 2 3 4 5 6 7 8 9 16 12

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2 2. Problem (5 points)

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Hwrk_8_Solution - UNIVERSITY OF CALIFORNIA BERKELEY Spring...

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