`^^^^^^^| d K
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
Related questions
Question
Derive the weak form of the problem. Pay attention to the treatment of boundary conditions and body loads.

Transcribed Image Text:y
التاناتي
The boundary conditions are
Р
L
The strong form of governing equation for a simply supported beam under a distributed load
p, shown in the figure above, is as follows
d²v M(x)
dx²
X
0
EI
where v is the deflection in y direction, E is Young's modulus, I is the second moment of
inertia, M(x) is the internal bending moment and is given by
px(L-x)
M(x) =
2
v(0) = 0
v(L)=0
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