1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problemi d² dr² {EI (*) (*)]} =f(r), y(0)=y' (0) = 0, y' (2)=y" (2) = 0 where f(x) = 2 and EI (2) = 17 Solve the boundary value problem for the deflection y(x).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 38CR
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1. The deflection along a non-uniform cantilever beam of length 2 units is governed by
the boundary value problem
d?
EI (2) v (2))} = f(2), v (0) = ' (0) = 0, "(2) = /" (2) = 0
=f (r), y (0) = y (0) = 0, y" (2) = y/" (2) = 0
dr2
(r)
1
where f (x) = 2 and EI (r) :
1+*
Solve the boundary value problem for the deflection y (r).
Transcribed Image Text:1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problem d? EI (2) v (2))} = f(2), v (0) = ' (0) = 0, "(2) = /" (2) = 0 =f (r), y (0) = y (0) = 0, y" (2) = y/" (2) = 0 dr2 (r) 1 where f (x) = 2 and EI (r) : 1+* Solve the boundary value problem for the deflection y (r).
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