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This question i have is when there is a extension of a beam (deflection in the x

ID: 1822756 • Letter: T

Question

This question i have is when there is a extension of a beam (deflection in the x component) what effect does that have on the vertical or y component of deflection, do you have to make an adjustment to your calculations and how would your coordinate system change for example, taking the origin to be the left side would it be pushed further to the left by the extension where that would be the new origin before you make the calculations on the vertical deflection?

Thanks in advance for any input you make into helping me understand this topic better

Explanation / Answer

okay see this is indeed a conceptual question
first you need to understand that the forces applied are really not very high in magnitude so as to cause appreciable change in the co-ordinates .
and then like in the figure you are seeing you already know that you can determine the resultant changes i.e. extension or compression along any other axis by using .(poisson's ratio)

=((unit lateral contraction )/(unit axial elongation)

similarly strains can be found out as

x=x/E - y/E- z/E

I hope you understand this better now..... :)

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