9.4-7 A beam on simple supports is subjected to a parabolically distributed load of intensity q(x) = 4q,x(L – x)/ L², where qo is the maximum intensity of the load (see figure). Derive the equation of the deflection curve, and then determine the maximum deflection 8max: Use the fourth-order differential equation of the deflec- tion curve (the load equation). %3D | 490x q(x) =- L2 (L– x) y B A 000 PROBLEM 9.4-7

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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9.4-7 A beam on simple supports is subjected
to a parabolically distributed load of intensity
q(x) = 4q,x(L – x)/ L², where qo is the maximum
intensity of the load (see figure).
Derive the equation of the deflection curve,
then determine the maximum deflection 8max: Use
the fourth-order differential equation of the deflec-
tion curve (the load equation).
-
and
490x
q(x) =
L2
(L– x)
(L- x)
y
В
A
600
L
PROBLEM 9.4-7
Transcribed Image Text:9.4-7 A beam on simple supports is subjected to a parabolically distributed load of intensity q(x) = 4q,x(L – x)/ L², where qo is the maximum intensity of the load (see figure). Derive the equation of the deflection curve, then determine the maximum deflection 8max: Use the fourth-order differential equation of the deflec- tion curve (the load equation). - and 490x q(x) = L2 (L– x) (L- x) y В A 600 L PROBLEM 9.4-7
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