{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

q2sols18085f05

# q2sols18085f05 - MIT OpenCourseWare http/ocw.mit.edu 18.085...

This preview shows pages 1–5. Sign up to view the full content.

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 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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).
Solution Then c(rc) ul(rc) = w(rc) gives (includirlg c(rc) = 1 or 2) (c) Finite difference approximation KU = F w = c(rc) dwldrc is approximated by U1-0 U2-Ul h h ' -- U3-U2 2- h ' Uq-U3 2- h ' Us-Uq 2- h 0-US 2- ' h Then dwldrc is approximated by

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

q2sols18085f05 - MIT OpenCourseWare http/ocw.mit.edu 18.085...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online