SampleExam1 - stress components on all surfaces of the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
AE 220 – EXAM #1 MONDAY SEPTEMBER 29, 2003, 9:00 am-9:50 am INSTRUCTIONS: THERE ARE TWO (2) QUESTIONS IN THIS EXAM CLOSED BOOKS AND NOTES EQUATION SHEETS HANDED OUT IN CLASS ARE ALLOWED CALCULATORS ARE NOT ALLOWED WRITE ALL ANSWERS IN THE BOOKLET PROVIDED DO NOT HAND IN ANY OF YOUR OWN PAPER
Background image of page 1

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

View Full DocumentRight Arrow Icon
1. (40 points) If a and B are a vector and a two tensor field respectively, then use indicial notation to prove the following identity: ± . B T a () = a . ± . B () + B . ± a ()
Background image of page 2
2. (60 points) Find the boundary conditions (i.e. relation between traction and
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: stress components) on all surfaces of the hollow circular cylinder (inner radius a, outer radius b) shown below in both (i) Cartesian coordinates and (ii) cylindrical coordinates, where P , P and P i are normal tractions and q a shear traction. Note: the loading shown on the cross sectional figure on the right hand side acts over the entire length L and over the entire circumference. P L P i P o q Loading on cylindrical surfaces P...
View Full Document

This note was uploaded on 03/07/2011 for the course AE 352 taught by Professor Namachchivaya during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 3

SampleExam1 - stress components on all surfaces of the...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online