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# HW1 - checking 2 Problem 2.1 page 98 in text Note 1<< x...

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MCE 561 Computational Methods in Solid Mechanics Homework Assignment 1 Due Feb. 7, 2011 1. Construct the weak form and if possible the quadratic functional for the beam of a Euler- Bernoulli beam on an elastic foundation specified by the governing equation and boundary conditions l x dx w d EI w l x f kw dx w d EI dx d , 0 @ 0 0 , 0 2 2 2 2 2 2 = = = = - + where E, I, k and f are given constants. Note refer to similar text Example 2.4.2 for help and
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Unformatted text preview: checking. 2. Problem 2.1, page 98 in text. Note 1 < < x 3. Problem 2.3, page 98 in text. Consider the case where 21 12 a a = . Partial Answer: dxdy y u y v a x u y v a y u x v a x u x v a u v B ∫ Ω ∂ ∂ ∂ ∂ + ∂ ∂ ∂ ∂ + ∂ ∂ ∂ ∂ + ∂ ∂ ∂ ∂ = 22 21 12 11 ) , (...
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