ONE FORMULA, ONE ANSWER
Maximum Beam Bending Stress Calculator
Convert a known bending moment to the extreme-fiber normal stress. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Maximum bending normal stress magnitude σ_max
Enter values and select Calculate.
σ_max = M c / I
Assumptions
Use M≥0 and c,I>0. Assume linear elasticity, small strain, plane sections remaining plane and bending about a principal axis. M and I must already be known; reactions, shear diagrams and deflection are not solved.
Displayed values are floating-point approximations. Measurement uncertainty and design safety factors are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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