Deflection Energy ) Virtual Work) Dr. Hatem R. Wasmi A Prof in Applied Mechanics Energy Method External Work When a force F undergoes a displacement dx in the same direction as the force, the work done is If the total displacement is x the work become The work of a moment is defined by the product of the magnitude of the moment M and the angle then if the total angle of rotation is the work become: dU e =Fdx θ dθ U e = ∫ 0 x Fdx U e = 1 2 PΔ θ dU e =Mdθ U e = ∫ 0 θ Mdθ U e = 1 2 Mθ
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Deflection Energy ) Virtual Work)
Dr. Hatem R. Wasmi
A Prof in Applied Mechanics
Energy Method
External Work
When a force F undergoes a displacement dx in the same direction as the force, the work done is
If the total displacement is x the work become
The work of a moment is defined by the product of the magnitude of the moment M and the angle then if the total angle of rotation is the work become:
dU e=F dx
θdθ
U e=∫0
x
Fdx
U e=12 PΔ
θ dU e=M dθ
U e=∫0
θ
Mdθ
U e=12 Mθ
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