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# 4-18 - CHAP 4 Finite Element Analysis for Beams and Frames...

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CHAP 4 Finite Element Analysis for Beams and Frames 239 18. A linearly varying distributed load is applied to the beam finite element of length L . The maximum value of the load at the right side is q 0 . Calculate “work equivalent” nodal forces and couples. Solution: The distributed load is a linear function. 0 0 ( ) x q x q sq L     Thus, the expression of distributed load can be written as 3 4 1 2 3 4 1 1 0 0 0 3 4 0 0 2 3 4 2 3 2 9 ( 2 ) 2 { } [ ] 21 60 3 2 3 ( ) L T s s s F M L s s s L q L x q dx q Lds F L s s M L L s s
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