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Solved: The deflection of a uniformly loaded, long rectangular plate under an axial

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 8 Chapter 11.3

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 8

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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Chapter 11.3, Problem 8 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Solved: The deflection of a uniformly loaded, long rectangular plate under an axial