A version of the Poisson equation that occurs in mechanics is the following model for the vertical
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A version of the Poisson equation that occurs in mechanics is the following model for the vertical deflection of a bar with a distributed load P(x):
where Ac = cross-sectional area, E = Young’s modulus, u = deflection, and x = distance measured along the bar’s length. If the bar is rigidly fixed (u = 0) at both ends, use the finite-element method to model its deflections for Ac = 0.1 m2, E = 200 × 109 N/m2, L = 10 m, and P(x) = 1000 N/m. Employ a value of Δx = 2 m.
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Related Book For
Numerical Methods for Engineers
ISBN: 978-9352602131
7th edition
Authors: Steven C. Chapra, Raymond P. Canale
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