cantilever deflection at free end calculator

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)

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