Engineering

Beam Deflection Calculator

Estimate max deflection for a simply-supported beam with center load.

Last validated: 2026-02-14

Beam Deflection Calculator estimates maximum deflection for common loading and support cases. It is useful for preliminary structural checks and educational mechanics problems. The tool helps flag configurations that may exceed serviceability limits. Use it as an early screening step before detailed analysis.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

Beam Deflection Inputs

Simply supported beam with center point load: delta = PL^3/(48EI)

Result

Max deflection: 0.0001041667 m

How to use this tool

Enter beam geometry, material properties, support type, and load.
Run the calculator to estimate peak deflection.
Compare result against allowable deflection criteria.

Worked Example

Auto-generated from the tool's current default or entered inputs.

Example Inputs

Load n: 1000.0
Span m: 2.0
Elastic modulus pa: 200000000000.0
Second moment m4: 8.0e-06

Expected Outputs

Load n: 1000
Span m: 2
Elastic modulus pa: 200000000000
Second moment m4: 0.000008

Interpretation

Load n is 1000.0. Use this as a decision input, not as a standalone conclusion.
Span m is 2.0. Use this as a decision input, not as a standalone conclusion.
Elastic modulus pa is 200000000000.0. Use this as a decision input, not as a standalone conclusion.
Confirm unit consistency and operational constraints before applying this result in production or field conditions.

Scenario Compare (A vs B)

Use this to compare two input sets and quantify change in key outputs.

Confidence and limitations

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Use as a quick estimate only; validate against codes, tolerances, and project constraints.

Formula References

First-order engineering design formulas and unit conversions.
Results are quick estimates, not code-compliance validation.

Assumptions

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Use as a quick estimate only; validate against codes, tolerances, and project constraints.

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