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I'm trying to figure out how long a wire will be when I hang it up between two supports.

I have:

The Young's modulus for the wire (E): 56kN/mm2

The length of the span (L): 55m

The weight of the wire (w): 0.73kg/m

The tension of the wire (T): 11kN

The cross sectional area (A): 266mm2

I know how to calculate the length of an inelastic wire:

L'= L + (w^2*L^3) / (24T^2)

But that I assume the Elasticity of the material must matter?

So, what I'm after is some formula for calculating this, not an answer

(although an answer could be good to compare to I guess)

Regards,

Mattias