HW11 - 5. Determine the support reactions and check global...

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University of California, Berkeley Dept. of Civil and Environmental Engineering Spring Semester 2009 1 CE 121 — Advanced Structural Analysis Homework Set #11 (due May 1, 2009) 1. Problem (10 points) Axial deformations can be neglected in all elements of the structural model in the figure. The flexural stiffness of the elements is °± = 60,000 . The structure is subjected to a downward vertical force of 100 units as shown in the figure. 1. Identify the three independent, non-trivial degrees of freedom and determine the compatibility matrix ² ? [1 point]. 2. Form the structure stiffness matrix directly (by physical interpretation) [4 points]. 3. Solve for the displacements at the free degrees of freedom ³ ? − ³ 0 = ´µ ? [1 point]. 4. Determine the basic element forces and draw the moment diagram [2 points].
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Unformatted text preview: 5. Determine the support reactions and check global equilibrium [1 point]. 6. Draw the deformed shape of the structure [1 point]. University of California, Berkeley Dept. of Civil and Environmental Engineering Spring Semester 2009 2 2. Problem (5 points) The structure model below has a column with flexural stiffness and girders with flexural stiffness ? and a brace with axial stiffness . The frame elements have negligible axial deformations. 1. Determine the structure stiffness matrix in terms of , ? , and [3 points]. 2. Setup the vector for the distributed load shown [1 point]. 3. Setup the vector for a thermal curvature = 2 10 3 on the girders (elements b and c). For this question, assume ? = 50,000 [1 point]....
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HW11 - 5. Determine the support reactions and check global...

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