Solved: The deflection of a uniformly loaded, long rectangular plate under an axial
Chapter 11, Problem 8(choose chapter or problem)
The deflection of a uniformly loaded, long rectangular plate under an axial tension force is governed by a second-order differential equation. Let S represent the axial force and q the intensity of the uniform load. The deflection W along the elemental length is given by W"{x) - ^W(x) = ^x + ^x2 , 0 < x < /, W(0) = W(I) = 0, where I is the length of the plate and D is the flexural rigidity of the plate. Let q 200 lb/in.2 , S = 100 lb/in., D = 8.8 x 107 lb/in., and / = 50 in. Approximate the deflection at 1-in. intervals
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