AutoEngCalc - Engineering Calculators

Beam Bending Calculator

Calculate deflection, slope, shear force and bending moment for simply supported, cantilever and overhanging beams. Point loads, UDL and moments supported.

Max Deflection
12.5 mm
Simply supported, central 10 kN load

Beam Deflection & Stress

Featured: Simply Supported, Cantilever, Overhanging • Shear & Moment Diagrams

Shear Force & Bending Moment Diagrams

Common Formulas
Simply Supported Central Load: δ_max = PL³/(48EI)
Cantilever End Load: δ_max = PL³/(3EI)
UDL Simply Supported: δ_max = 5wL⁴/(384EI)

Enter beam parameters to see results

Beam Design Guidelines

Support Types

Simply Supported: Max moment at centre

Cantilever: Max moment at fixed end

Overhanging: Negative moment possible

Typical EI

Steel I-beam: E=200 GPa, I=2000–20000 cm⁴

Concrete: E=25–35 GPa

Aluminum: E=70 GPa

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