Beam point-load reactions and moments calculator

Calculate left reaction and right reaction with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use left reaction and right reaction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Simply-supported span (m)
6
Downward point loads (kN)
10,5
Load positions from left support (m)
2,4
Left reaction (kN)
8.333333
Right reaction (kN)
6.666667
Positions and moments (JSON)
[[0,0],[2,16.6666666667],[4,13.3333333333],[6,-7.1054273576e-15]]

Try another scenario

Simply-supported span (m)
7
Downward point loads (kN)
[10, 5]
Load positions from left support (m)
[2, 4]
Left reaction (kN)
9.285714
Right reaction (kN)
5.714286
Positions and moments (JSON)
[[0,0],[2,18.5714285714],[4,17.1428571429],[7,0]]
Calculation method

Calculation method

Left reaction (kN)

Moment equilibrium gives reactions; evaluate piecewise-linear moment at supports and load positions.

Right reaction (kN)

Moment equilibrium gives reactions; evaluate piecewise-linear moment at supports and load positions.

Positions and moments (JSON)

Moment equilibrium gives reactions; evaluate piecewise-linear moment at supports and load positions.

Symbols and units
a
Simply-supported span (m)
b
Downward point loads (kN)
c
Load positions from left support (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Moment equilibrium gives reactions; evaluate piecewise-linear moment at supports and load positions. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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