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Beam Calculator_
Calculate deflection and stress for simply supported beams with uniformly distributed loads
Inputs
Max Deflection
0.00 mm
At center of beam
Max Bending Stress
0.0 MPa
At outer fiber
Beam Weight
0.00 kg
Density: 7850 kg/m³
Moment of Inertia
0 mm⁴
I = bh³/12
Formulas Used
• Deflection: δ = (5 × w × L⁴) / (384 × E × I)
• Bending Stress: σ = (M × c) / I, where M = wL²/8
• Moment of Inertia: I = b × h³ / 12
• Weight: mass = volume × density
What this tool does not account for
- • One case only: a simply supported beam with a uniformly distributed load and a solid rectangular section. Point loads, cantilevers, fixed ends and continuous spans all give different answers.
- • Self weight is reported but is not added to the applied load. Add it yourself if it matters.
- • Shear deflection, lateral torsional buckling, web crippling and local bearing. Deep or slender sections fail in ways this does not see.
- • Wood is orthotropic and graded, so a single modulus is a rough stand-in. The steel and aluminum figures are generic, not a specific alloy or temper.
- • Elastic behavior throughout, with no factors applied. This is an estimate rather than a design check. Have anything structural verified by a qualified engineer.