deflection energy

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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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