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Simply Supported Beam Deflection Calculator — result sheet
Estimate center deflection of a simply supported beam under a center point load using an Euler–Bernoulli elastic model.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Center deflection δ = PL³/(48EI).
The model gives the elastic center displacement for a simply supported span with one centered point load.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Center point load — N; minimum 0; maximum 1000000000
- Beam span — m; minimum 1.0E-6; maximum 1000000
- Young’s modulus — Pa; minimum 1.0E-6; maximum 1000000000000
- Second moment of area — m⁴; minimum 1.0E-24; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Center point load | 1000 |
| Beam span | 3 |
| Young’s modulus | 200000000000 |
| Second moment of area | 8.0E-6 |
Center deflection = 0.0003516 m.
Assumptions and limits
- Inputs use SI units and stiffness and second moment are positive.
- The beam is slender, prismatic, linearly elastic, and simply supported.
- Shear deformation, self-weight, connections, yielding, vibration, and structural approval are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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