Maximum elastic deflection of an off-center loaded beam supported by two simple supports

Description

In engineering, deflection is the degree to which a structural element is displaced under a load.
The maximum elastic deflection on a beam supported by two simple supports, loaded at a distance {\displaystyle a} a from the closest support. Where {\displaystyle a} a is the distance from the load to the closest support.

Related formulas

Variables

δmaxMaximum elastic deflection [m] (dimensionless)
FForce acting on the beam [N] (dimensionless)
aDistance from the load to the closest support [m] (dimensionless)
LLength of the beam between the supports [m] (dimensionless)
EModulus of elasticity [Pa] (dimensionless)
IArea moment of inertia [m^2] (dimensionless)