HW4 - unknowns and indicate just what these unknowns...

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MCE 561 Computational Methods in Solid Mechanics Homework Assignment 4 Due March 2, 2011 1. Problem 5.2, page 282 in text. Partial Ans. (a) [ ] [ ] b b a a b a b a r rr r rr r rr r rr r r r r b a rr rM Q M rM dr d Q rM Q M rM dr d Q Q dr dv Q dr dv Q r v Q r v rdr q kvw M dr dv r M dr v d = - = - = - - = - - - - - - - + - - θθ θθ θθ 4 3 2 1 4 2 3 1 2 2 , ) ( , , ) ( ) ( ) ( 1 (b) = ij K rdr dr d dr d r dr d dr d dr d dr d r dr d dr d D b a r r j i j i j i j i φ φ + φ φ + φ φ ν + φ φ 2 2 2 2 2 2 2 2 2 1 2. Problem 5.8, page 283-284 in text. Note you should solve for all primary and secondary
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Unformatted text preview: unknowns and indicate just what these unknowns represent. Finally as a post-processing step, determine the bending moment at a point C located at x = h /2 measured from the left end of the beam. Partial Ans. 96 ; 6 12 4 12 2 : system Condensed 2 4 3 2 3 h q M h h q U U h h EI o C o = =...
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