Problem 5 Set up the equations for the n-parameter Ritz approximation of the following equations associated with a simply supported beam and subjected to a uniform transverse load q = qo d² da2 d²w ΕΙ dx2 = q for 0 < x

Problem 5 Set up the equations for the n-parameter Ritz approximation of the following equations associated with a simply supported beam and subjected to a uniform transverse load q = qo d² da2 d²w ΕΙ dx2 = q for 0 < x

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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Question

FEA

Problem 5
Set up the equations for the n-parameter Ritz approximation of the following equations associated with a
simply supported beam and subjected to a uniform transverse load q = qo
d²
da2
d²w
ΕΙ
dx2
= q
for 0 < x <L
d² w
W = - EI
= 0
at
dx2
x = 0, L
•
Identify algebraic polynomials for
the exact solution for uniform load
and ;. Compute and compare the two-parameter Ritz solutions with
of intensity qo •

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