Simply supported beam center deflection calculator

Calculate ideal center deflection and reaction at each support with your own figures.

Your numbers

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

Use ideal center deflection and reaction at each support to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Simply-supported span (mm)
2000
Center load (N)
1000
Elastic modulus (MPa)
200000
Second moment of area (mm⁴)
2000000
Ideal center deflection (mm)
0.416667
Reaction at each support (N)
500

Try another scenario

Simply-supported span (mm)
2001
Center load (N)
1000
Elastic modulus (MPa)
200000
Second moment of area (mm⁴)
2000000
Ideal center deflection (mm)
0.417292
Reaction at each support (N)
500
Calculation method

Calculation method

Ideal center deflection (mm)

Small-deflection Euler-Bernoulli simply-supported beam with one central point load.

Reaction at each support (N)

Small-deflection Euler-Bernoulli simply-supported beam with one central point load.

Symbols and units
a
Simply-supported span (mm)
b
Center load (N)
c
Elastic modulus (MPa)
d
Second moment of area (mm⁴)

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; Small-deflection Euler-Bernoulli simply-supported beam with one central point load. 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.
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Further reading

Method reference ↗

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

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