<Dd> I (\ displaystyle I) = Area moment of inertia of the beam's cross section </Dd> <P> Note that if the span doubles, the deflection increases eightfold . The deflection at any point, x (\ displaystyle x), along the span of an end loaded cantilevered beam can be calculated using: </P> <Dl> <Dd> δ x = F x 2 6 E I (3 L − x) (\ displaystyle \ delta _ (x) = (\ frac (Fx ^ (2)) (6EI)) (3L - x)) </Dd> </Dl> <Dd> δ x = F x 2 6 E I (3 L − x) (\ displaystyle \ delta _ (x) = (\ frac (Fx ^ (2)) (6EI)) (3L - x)) </Dd>

Equation of deflection of a simply supported beam