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Simply Supported Beam Reaction Calculator — result sheet
Calculate total load, equal support reactions, and maximum bending moment for a simply supported beam under uniform load.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Total load W = wL; each support reaction = W/2; maximum moment Mmax = wL²/8.
Symmetry makes the two support reactions equal for a centered, uniform load on a simply supported span.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Uniform load — N/m; minimum 0; maximum 1000000000
- Beam span — m; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Uniform load | 1000 |
| Beam span | 3 |
Total load = 3,000 N; each reaction = 1,500 N; maximum moment = 1,125 N·m.
Assumptions and limits
- Load is uniform over the span and values use SI units.
- The beam is simply supported with negligible self-weight in the entered load.
- Deflection, shear capacity, connections, dynamic loads, 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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