Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 16, Problem 15P

A finite-element model of a cantilever beam subject to loading and moments (Fig. P16.15) is given by optimizing

f ( x , y ) = 5 x 2 5 x y + 2.5 y 2 x 1.5 y

where x = end displacement and y = end moment. Find the values of x and y that minimize f ( x , y ) .

Chapter 16, Problem 15P, A finite-element model of a cantilever beam subject to loading and moments (Fig. P16.15) is given by

FIGURE P16.15

A cantilever beam.

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