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Tool report
Bending Stress & Deflection
Bending stress and deflection for a simply supported beam.
DateMay 15, 2026
Inputs
Beam length L (mm)500 mm
Center load F (kN)2 kN
Section typerect
Width b / Diameter d (mm)40 mm
Height h (mm)8 mm
Young's modulus E (MPa)210,000 MPa
Yield strength Re (MPa)355 MPa
Results
Max Moment250,000
Inertia1,706.6667
Section Modulus426.6667
Sigma585.9375
Deflection14.5322
Safety0.6059
Formula
Mmax = F·L/4 | σ = M/W | I_rect = b·h^3/12 | I_circle = π·d^4/64 | δ = F·L^3/(48·E·I)
Assumptions
- Simply supported beam with a central point load.
- Linear elastic behavior and small deflection assumption.
References
- Roark's Formulas for Stress and Strain
- EN 1993-1-1 (Eurocode 3)
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