A cantilever beam of length L is embedded at its right end, and a horizontal tensile force of P pounds is applied to its fre- left end. When the origin is taken at its free end, as shown in the figure below, the deflection y(x) of the beam can be shown to satisfy the differential equation Ely" = Py- w(x)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A cantilever beam of length L is embedded at its right end, and a horizontal tensile force of P pounds is applied to its free
left end. When the origin is taken at its free end, as shown in the figure below, the deflection y(x) of the beam can be
shown to satisfy the differential equation
Ely" = Py- w(x)
y4
L.
Wox
Find the general solution of the given differential equation if w(x) = xW..
y =
Find the deflection of the cantilever beam if w(x) = wx, 0 < x < L, and y(0) = 0, y'(L) = 0.
y(x) =
Transcribed Image Text:My Happiness Proje... 2 Spring 2021 Class S... >> Reading list A cantilever beam of length L is embedded at its right end, and a horizontal tensile force of P pounds is applied to its free left end. When the origin is taken at its free end, as shown in the figure below, the deflection y(x) of the beam can be shown to satisfy the differential equation Ely" = Py- w(x) y4 L. Wox Find the general solution of the given differential equation if w(x) = xW.. y = Find the deflection of the cantilever beam if w(x) = wx, 0 < x < L, and y(0) = 0, y'(L) = 0. y(x) =
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