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Structural Calculators

Point Load Calculator

Reactions, moment and deflection from a concentrated load anywhere on a simply supported beam.

Enter values

Results update as you type.

Result

Maximum bending moment

40 kN·m

Left reaction
20 kN
Right reaction
10 kN
Maximum shear
20 kN
Approximate deflection
7.172 mm
Moment at the load
40 kN·m

About the Point Load Calculator

Reactions, moment and deflection from a concentrated load anywhere on a simply supported beam.

Also known as: concentrated load, single load on beam, point load reactions.

How to use this calculator

  1. Enter point load, span, distance from the left support, modulus of elasticity and the other fields.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

R₁ = Pb/L · R₂ = Pa/L · M = Pab/L

Worked example

Using the values pre-filled in the calculator above:

  • Point load = 30 kN
  • Span = 6 m
  • Distance from the left support = 2 m
  • Modulus of elasticity = 200 GPa
  • Second moment of area = 8,000 cm⁴

the calculator returns:

  • Maximum bending moment: 40 kN·m
  • Left reaction: 20 kN
  • Right reaction: 10 kN
  • Maximum shear: 20 kN