prob_03_09_03

prob_03_09_03 - Problem 3.9-3a The bar element shown are...

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Problem 3.9-3a The bar element shown are uniform and have nodes 1 and 2. Let the axial displacement field be: ua 1 a 2 x 2 = Find: [B] and [k] and determine defects in the element Solution: u1 x 2  a 1 a 2 = At node 1, x = 0 and uu 1 = or u 1 u 2 1 1 0 L 2 a 1 a 2 = where A 1 1 0 L 2 = At node 2, x = L and 2 = A 1 1 1 0 L 2 1 = 1 1 0 L 2 1 1 1 L 2 0 1 L 2 a 1 a 2 A 1 u 1 u 2 = 1 1 L 2 0 1 L 2 u 1 u 2 = x 2 a 1 a 2 = 1x 2 1 1 L 2 0 1 L 2 u 1 u 2 = N 1 N 2 2 1 1 L 2 0 1 L 2 = N 1 N 2 1 x 2 L 2 x 2 L 2 = x 2 L 2 x 2 L 2
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prob_03_09_03 - Problem 3.9-3a The bar element shown are...

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