4-7 - 220 Finite Element Analysis and Design 7. A simply...

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220 Finite Element Analysis and Design 7. A simply supported beam of length L is under a uniformly distributed load p . When two equal-length beam elements are used, the finite element analysis yields the following nodal DOFs: 3 4 3 1 1 2 2 3 3 5 { } { , , , , , } 0, , ,0,0, 24 384 24 T s pL pL pL v v v EI EI EI     Q . Find the deflection curve () vx and compare graphically with the exact solution. Note: the exact deflection curve of the beam is given as: 4 3 3 exact ( ) ( 2 ) / 24 v x p x Lx L x EI   . Solution: Since nodal values are symmetric, it is enough to show the deflection curve for Element
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This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.

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