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Formula rearranging!

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IH1980

Structural
Joined
Nov 20, 2014
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27
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GB
I'm hoping someone can help me with this, I am stumped.

I have some calcs to check, relating to a falling body onto a wire suspended platform. The aim is to check the equivalent impact force (P) in the wire. The calcs go as follows, and I can't figure out how the formula has been re-arranged [sad] AE is a value provided by the wire supplier. The energy of the falling body 'U' has already been worked out and is known. It is then somehow subbed in as shown:

cable stretch d = PL/AE
Let energy U = Pd
therefore P = (UAE/L)^0.5

Basic algebra probably but I am found wanting. Sad panda!
 
very sad panda ...
U = Pd = P*PL/AE, then P^2 = U*AE/L

another day in paradise, or is paradise one day closer ?
 
Thanks - always the same for me with algebra, when someone points it out its blindingly obvious!
 
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