The deflection at the free end of a cantilever beam under a point load applied at the free end can be calculated using the following formula:
where:
- = Deflection at the free end (in meters, m)
- = Applied point load at the free end (in newtons, N)
- = Length of the cantilever beam (in meters, m)
- = Modulus of elasticity of the material (in pascals, Pa)
- = Moment of inertia of the cross-sectional area (in meters to the fourth power, m⁴)