EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 21, Problem 21P

An 11-m beam is subjected to a load, and the shear force follows the equation

V ( x ) = 5 + 0.25 x 2

whereV is the shear force and x is length in distance along the beam. We know that V = d M / d x , and M is the bending moment. Integration yields the relationship

M = M 0 + 0 x V d x

If M 0 is zero and x = 11 calculate M using

(a) Analytical integration,

(b) Multiple-application trapezoidal rule, and

(c) Multiple-application

Simpson's rules. For (b) and (c) use 1-m increments.

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