Using this, along with Hooke's Law and Newton's 3rd Law of Motion will give you the result you want.Center loaded beam
The elastic deflection (at the midpoint $C$) of a beam, loaded at its center, supported by two simple supports is given by:
$F$= Force acting on the center of the beam
$L$ = Length of the beam between the supports
$E$ = Modulus of elasticity
$I$ = Area moment of inertia
I've come across this problem and I'm not sure on where to start?
Any help would be greatly appreciated.
Yeah that I can deduce, what I'm more unsure of is how to actually derive that deflection formula!