# Hwrk_4-08 - 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 #4 (due Feb. 22, 2008) 1. Problem (7 points) a b c d 8 8 6 w=5 1 2 3 4 The degree of redundancy or static indeterminacy NOS of the structural model in the figure is 2. 1. Number the global degrees of freedom (dofs) or, equivalently, the equilibrium equations without including trivial equations with a single unknown basic force whose value can therefore be determined by inspection. How many basic forces and equations are there? 2. Set up the equilibrium equations in terms of the primary element forces Q that do not include the axial forces in the frame elements a, b, and c. 3. Select two basic forces as redundants; in this problem we select the end moment at the right end of element b and the end moment at the lower end of element c. 4. Determine the particular solution under the given loading, and the homogeneous solutions that result under a unit value of each redundant basic force in turn.

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## This note was uploaded on 01/04/2010 for the course CE 121 taught by Professor Filippou during the Fall '09 term at University of California, Berkeley.

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Hwrk_4-08 - UNIVERSITY OF CALIFORNIA, BERKELEY Spring...

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