b) A cantilever beam of length L is embedded at its left end. Find the deflection of the beamwhen w(x)#),0< x < L.= El cos FORMULA LISTTrial particular solutionsg(x)1 (any constant)5х + 73x? + 2УрААх + BАх2 + Вх + СА cos 4x + B sin 4xА cos 4x + B sin 4xAe 5xsin 4xcos 4xe5xOne - dimensional heat equationUij+1=dUi+1,j + (1 – 21)uij + Au¡-1.jckwhere 1 =h²'аh =-,Tk =-,mX; = ih; i = 0,1,2,3 ....,nt; = jk; j = 0,1,2,3 ...,nFourier seriesNTX+ b, sinaoNTXf(x)2ɑn cosL%3Dn=11f(x)dxL.ao = -1anNITX= f(x)cos-dx--1NITXbn =;| f(x) sinL--

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Answered: b) A cantilever beam of length L is…

b) A cantilever beam of length L is embedded at its left end. Find the deflection of the beam when w(x) = El cos (),0 < x < L.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

b) A cantilever beam of length L is embedded at its left end. Find the deflection of the beam
when w(x)
#),0< x < L.
= El cos

FORMULA LIST
Trial particular solutions
g(x)
1 (any constant)
5х + 7
3x? + 2
Ур
А
Ах + B
Ах2 + Вх + С
А cos 4x + B sin 4x
А cos 4x + B sin 4x
Ae 5x
sin 4x
cos 4x
e5x
One - dimensional heat equation
Uij+1=dUi+1,j + (1 – 21)uij + Au¡-1.j
ck
where 1 =
h²'
а
h =-,
T
k =-,
m
X; = ih; i = 0,1,2,3 ....,n
t; = jk; j = 0,1,2,3 ...,n
Fourier series
NTX
+ b, sin
ao
NTX
f(x)
2
ɑn cos
L
%3D
n=1
1
f(x)dx
L.
ao = -
1
an
NITX
= f(x)cos-
dx
--
1
NITX
bn =;| f(x) sin
L
--

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