fall08qz2sol12

# fall08qz2sol12 - MIT OpenCourseWare http:/ocw.mit.edu...

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MIT OpenCourseWare http://ocw.mit.edu 18.085 Computational Science and Engineering I Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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i 1 Question 1 If you ordered the bars in the same order as the nodes (starting with bar 1 between nodes 1 and 2), 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 A = 2 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 You’d still get credit if you used a diﬀerent order. There were many ways to give an independent set of solutions. Here’s one independent set: the entire truss moves to the right the entire truss moves up the truss rotates clockwise about the origin nodes 1 and 3 move out, nodes 2 and 4 move in The vectors corresponding to those solutions would be the columns of this ma- trix: 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0
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## This note was uploaded on 04/12/2011 for the course MATH 18.085 taught by Professor Staff during the Fall '10 term at MIT.

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fall08qz2sol12 - MIT OpenCourseWare http:/ocw.mit.edu...

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