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Unformatted text preview: CEE 379 Final Exam Solution Winter 2007 Name: Closed Book; 3 pages of notes. Part I: Short Answer 1. Does member misfit generally cause larger internal forces in statically determinate or statically inde- terminate trusses? Explain your reasoning. (3 pts) Solution Misfit causes no internal forces in a statically determinate system, so the answer must be statically indeterminate. 2. The two frames shown below are composed of identical members throughout, and they are loaded as indicated. Which frame will have larger moments in its columns? (3 pts) P P A B Frame B has a more flexible beam, and thus the columns carry more moment (this example was discussed in class earlier in the quarter). 3. Consider the plane frame shown below and answer the following questions concerning the scalar di- mensions of several associated matrices. (3 pts each) a (a) What is the size of [ K ff ]? 15 × 15 (b) What is the size of [ K fs ]? 15 rows × 9 columns (c) What would the size of [ K ff ] be if the left end of member a were modeled using a hinge connection (i.e., using an internal hinge in member a )? 16 × 16 (one additional rotational DOF) (d) What size would the augmented [ K ff ] have if member a was not allowed to elongate? Assume the original rigid-end conditions for member a , and recall that such a constraint equation is of the form ( u j- u i ) · n e = 0. 16 × 16 (one additional scalar equation/unknown—see Example 4.2.2 in Truss Notes) 1 CEE 379 2 4. Identify the correct moment diagram for the frame loaded as shown (3 pts) None of these Lower right diagram is correct....
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