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Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Derive the weak form of the problem. Pay attention to the treatment of boundary conditions and body loads.

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
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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