Elastic deflection at any point along the span of a center loaded beam

Description

Elastic deflection is the degree to which a structural element is displaced under a load.
The deflection at any point, along the span of a center loaded simply supported beam can be calculated by the force acting on the center of the beam, the length of the beam, the modulus of elasticity and the area moment of inertia.

Related formulas

Variables

δcElastic deflection (m)
FForce acting on the center of the beam (N)
xDistance of the point along the span of the center loaded simply supported beam (m)
EModulus of elasticity (Pa)
IArea moment of inertia (m4)
LLength of the beam between the supports (m)