Deflection of Beams - Rearrange formula

AI Thread Summary
The discussion focuses on calculating the force on a support for a simply supported beam after determining its deflection. The original deflection formula used is y = - (F x L^3)/(48 x E x I), with a calculated deflection of 9.72mm and a support displacement of 6mm, leading to a new deflection of 3.72mm. The user attempted to rearrange the formula to solve for force (F) and arrived at a value of 2.212 MPa, questioning its validity against an original load of 80KN. Ultimately, the user concluded they had resolved the issue independently.
MikeNZ
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Deflection of Beams - Rearrange formula [URGENT]

Homework Statement



Deflection for a simply supported beam... I calculated the deflection of it to be 9.72mm downwards, but there is a support 6mm from the original position and need to calculate the force on the support...

The original formula for deflection is:

y = - (F x L^3)/(48 x E x I)

where 'x' is just the multiplication symbol.


Homework Equations



y = - (F x L^3)/(48 x E x I)

The Attempt at a Solution



To find the force on the support, I went 9.72-6 = 3.72mm

I substituted 3.72 into the equation above as 'y', now, how do i rearrange the formula to find F?

My attempt:

F = (48 x E x I)/(Y x L^3)

I get 2.212 MPa, this surely can't be right as the original load on top is 80KN. Did I rearrange correctly?


 
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Is this a beam on 3 supports?
 


Simply supported, no, not 3 supports, doesn't matter I've figured it out now. Thanks.
 
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