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Construction & Materials

Cantilever Beam Calculator

Calculate maximum moment, deflection and reaction for a cantilever beam with a point load at the free end.

Your inputs

Change any value to update the result instantly.

Construction & Materials
m
kN
kPa
m⁴

Maximum bending moment

15 kN·m

Reaction at fixed support

5 kN

Maximum deflection

0.28 mm

Fixed-end moment

15 kN·m

Formula and working

Mmax = P·L; δmax = PL³/(3EI)

  1. 1

    Collect the inputs

    Beam length L = 3 m; Point load P at free end = 5 kN; Modulus of elasticity E = 200,000,000 kPa; Moment of inertia I = 0.0008 m⁴

  2. 2

    Apply the formula

    Mmax = P·L; δmax = PL³/(3EI)

  3. 3

    Result

    Maximum bending moment = 15 kN·m

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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