Beam bending calculator

One point load on a straight beam. Drag the load or change a value; the stress plot and the numbers follow.

Beam elevation showing bending stress and deflected shape.Elevation, not to scale. Deflection ×2.
Peak deflection
0.345 in
at
24 in from the left end
Peak bending moment
12,000 lbf·in
Peak bending stress
18 ksi
Safety factor vs yield
2.18
2.18 Safety factor
46% of yield
Beam inputs
Units

Straight, slender, linear-elastic beam; Euler–Bernoulli theory; shear deformation ignored. Material values are published typical or minimum values, labelled per material, not design allowables. A teaching tool, not a design tool.

Sources: Shigley's Mechanical Engineering Design, Table A-9. Roark's Formulas for Stress and Strain, Table 8.1. Material properties from Wikipedia's articles on each alloy, which cite ASM and ASTM data.