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Unformatted text preview: Page 1 of 5 2.094 F INITE E LEMENT A NALYSIS OF S OLIDS AND F LUIDS S PRING 2008 Homework 1 - Solution Instructor: Prof. K. J. Bathe Assigned: 02/07/2008 Due: 02/14/2008 Problem 1 (10 points): In this problem, the principle of virtual work reduces to ? ?? ? ? ?? ? ? = ? ? ? ? ? ? x 1 x 2 x 1 x 2 x 1 x 2 configuration at time t virtual displacement (a) (b) (c) Figure 1. Three simple independent virtual displacement patterns. (a) a simple tension in the x 1 direction; (b) a simple tension in the x 2 direction; (c) a simple shear Page 2 of 5 (a) A simple extension in ? ? direction; ? = ? ? ? and ? = ?? = ? = Therefore, ?? ?? = ? ? ? = Check! (b) A simple extension in ? ? direction; ? = and ?...
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.094 taught by Professor Klaus-jürgenbathe during the Spring '11 term at MIT.
- Spring '11
- Finite Element Analysis