Engineering tool · V0.7

Beam Deflection & Bending Calculator

Calculate common beam cases using transparent Euler–Bernoulli relationships. All calculations run locally in your browser.

Load case

Elastic modulus E (GPa)

Beam length L (mm)

Second moment I (mm⁴)Use the Section Properties Calculator if needed.

Point load P (N)

Extreme-fiber distance c (mm, optional)

Find section I

Maximum deflection—

Maximum bending moment—

Nominal bending stress—

Enter the idealized beam assumptions.

δ = PL³/(48EI)

Linear-elastic Euler–Bernoulli formulas. They assume small deflection, constant section/properties and idealized supports/loading. Shear deflection, local stress concentration, lateral-torsional buckling, plasticity and dynamics are not included.