basic

Cantilever Beam Tip Deflection Calculator

Tip deflection δ = P L³ / (3 E I).

Compute the tip deflection of a cantilever beam loaded with a point force P at its free end, using δ = P · L³ / (3 · E · I) for an isotropic linearly elastic beam.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

N
m
GPa
m⁴

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

δ = P · L³ / (3 · E · I)

In depth

Compute the tip deflection of a cantilever beam loaded with a point force P at its free end, using δ = P · L³ / (3 · E · I) for an isotropic linearly elastic beam.