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Hwrk_13-08 - 4 Draw the deformed shape under the given...

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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 #13 (due May 2, 2008) 1. Problem (7 points) The two span continuous beam in the figure is subjected to a concentrated force of 100 units at midspan of the right span, as shown. The flexural section stiffness of all members is EI = 300,000. It is obvious from the absence of axial forces, that axial deformations are irrelevant for the solution. 1. Use the displacement method to solve for the basic element forces. 2. Draw the bending moment diagram. 3. Determine the support reactions and check global equilibrium.
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Unformatted text preview: 4. Draw the deformed shape under the given loading. 100 20 20 1 2 3 4 40 5. Use the displacement method of analysis to solve for the case of a uniform distributed load of 5 units of force per unit of length acting over the right span of the beam. 40 40 5 2 2. Problem (3 points) The structural model in the figure has 4 independent free global dofs, if the column and girder are assumed to be inextensible (i.e. have negligible axial deformations). Determine the coefficients of the stiffness matrix in terms of the stiffness values of the column (EI c ), girder (EI g ) and brace (EA). 4 4 6 1 3 2 4 EI c EI g EA EI g...
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