prob_06_09_02

prob_06_09_02 - Problem 6.9-2a Given: a) Calculate the...

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Problem 6.9-2a Given: a) Calculate the nodal loads at all three nodes of the bar element considered in Problem 6.10-1b Solution: From Problem 6.10-b, a uniformly distributed axial load of intensity q acts along the entire bar. The consistent nodal loads are given by: r e 1 1 ξ N T q J d = From Eq. 6.1-4 N 1 1 2 ξ ξ 2 + () = N 2 1 ξ 2 = N 3 1 2 ξξ 2 + = From Eq. 6.1-6 J 1 2 1 2 ξ + 2 ξ 1 2 12 ξ + 0 L 2 L = simplify J L 2 = q L 2 1 1 ξ 1 2 ξ ξ 2 + d Lq 6 r e 1 1
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