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Mathematical Proof of Airy Point Show that the minimum deflection of a bar happens when the the distance between the two supports is about 0.577

Mathematical Proof of Airy Point

Show that the minimum deflection of a bar happens when the the distance between the two supports is about 0.577 L apart.

Also show the formula for n supports work.

Airy point equation:

d= L / sqrt(n^2 -1)

d is distance between supports

L is length of bar being supported

n is # of supports

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