EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 13, Problem 18P

The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as

y = ω 0 120 E I L ( x 5 + 2 L 2 x 3 L 4 x )

Given that L = 600 cm, E = 50 , 000 kN/cm 2 , I = 30 , 000 cm 4 , and ω 0 = 2.5 kN/cm, determine the point of maximum deflection (a) graphically, (b) using the golden-section search until the approximate error falls below ε s = 1 % with initial guesses of x 1 = 0 and x l = 0 and x u = L

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