What is simply supported beam deflection — centre load?
Simply Supported Beam Deflection — Centre Load is used in structural engineering calculators. This calculator evaluates maximum deflection of a simply supported beam with a concentrated load at midspan. Enter the known engineering values, choose the units you are working in, and the result is converted consistently through the calculator engine.
Formula
deflection = force * length^3 / (48 * youngs_modulus * second_moment_area)| Variable | Meaning | Units |
|---|---|---|
| force | Centre Point Load | N, kN, lbf |
| length | Beam Span | m, cm, mm, km, in |
| youngs_modulus | Young's Modulus | Pa, kPa, MPa, GPa |
| second_moment_area | Second Moment of Area | m⁴, cm⁴, mm⁴, in⁴ |
| deflection | Maximum Deflection | m, cm, mm, km, in |
How to use the Simply Supported Beam Deflection — Centre Load Calculator
- Enter each known engineering value in the calculator above.
- Select the unit that matches each value you entered.
- Press Calculate. The calculator converts inputs into consistent canonical units before evaluating the formula.
- Choose another output unit if you want to view the result in a different engineering unit.
- If the result belongs to a real project, log in and save the calculation with your project records.
Worked example
As a simple worked example, use Centre Point Load = 2 N, Beam Span = 3 m, Young's Modulus = 4 Pa, Second Moment of Area = 5 m⁴. Enter those values above to reproduce the calculation and then change them to match your own design.
How to interpret the result
Use the result together with the assumptions, units and design limits for your project. Engineering calculations are only as reliable as their inputs, so verify values against drawings, measurements, datasheets or applicable standards before making a safety-critical design decision.
Engineering applications
- Early-stage structural engineering calculators analysis
- Checking hand calculations and design iterations
- Comparing alternative engineering concepts
Common mistakes
- Mixing incompatible units or entering a value in a different unit from the selected unit.
- Using estimated inputs without recording the assumptions behind them.
- Treating a simplified calculator result as a substitute for validation, testing or applicable engineering standards.