quiz218085f05

# quiz218085f05 - MIT OpenCourseWare http/ocw.mit.edu 18.085...

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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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18.085 Quiz 2 November 14, 2005 Professor Strang Your PRINTED name is: Grading 1 2 3 1) (34 pts.) A point load at rc = i hangs at the same point where c(rc) changes fro111 c = 1 (for 0 < rc < i) to c = 2 (for i < rc < 1). Both ends are FIXED. (a) Solve for u(rc) and w(rc) = c(rc) ul(rc): (b) Draw the graphs of u(rc) and w(rc) (c) Divide the hanging bar into irltervals of lerlgtl~ h = (then c(rc) changes fro111 1 to 2 at rc = 2h). There are unknowrls U = (ul, . . . ,US)at the rneshpoints. Write down a rrlatrix approximation KU = F to the equation above. Take differences of differences (each difference over an interval of length h).

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2) (33 pts.) This truss doesn't look safe to me. Those angles are 45". The matrix A will be 6 by 8 when the displacernents are fixed to zero at the bottorn. (a) How rrlany independent solutions to

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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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quiz218085f05 - MIT OpenCourseWare http/ocw.mit.edu 18.085...

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