A uniform beam of length L carries a concentrated load wo at x = L. See the figure belov 2 beam embedded at its left end and free at its right end Use the Laplace transform to solve the differential equation woolx -), 0 < x < L, EI- dx 4 subject to the given boundary conditions. y(0) = 0, y'(0) = 0, y"(L) = 0, and y"(L) = 0. %3D y(x) = +

A uniform beam of length L carries a concentrated load wo at x = L. See the figure belov 2 beam embedded at its left end and free at its right end Use the Laplace transform to solve the differential equation woolx -), 0 < x < L, EI- dx 4 subject to the given boundary conditions. y(0) = 0, y'(0) = 0, y"(L) = 0, and y"(L) = 0. %3D y(x) = +

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A uniform beam of length L carries a concentrated load wo at x =
L. See the figure below
2
Wo
beam embedded at its
left end and free at its
right end
Use the Laplace transform to solve the differential equation
EI-
4
dx
woolx-), 0 < x < L,
subject to the given boundary conditions.
y(0) = 0, y'(0) = 0, y"(L) = 0, and y"'(L) = 0.
%3D
y(x) =

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