Fatigue — high-cycle, mean-stress correction

Goodman / Soderberg / Gerber

Constant-amplitude HCF safety factor under mean + alternating stress. Soderberg most conservative (yield), Gerber least (parabolic Sut).

Inputs

MPa
MPa
MPa
MPa
MPa
Polished steel default ≈ 0.5·Sut. Reduce for surface, size, reliability.

Results

Fatigue diagram — Goodman / Soderberg / Gerber / Yield
σₐ (MPa)σₘ (MPa)03000350600GerberGoodmanSoderbergSᵤ 600Sₑ 300σₘ 80 · σₐ 50 · SF 3.33
Operating point at σₘ=80, σₐ=50 ✓ inside Goodman envelope · Goodman SF 3.33.
Goodman FS3.33
Soderberg FS2.53
Gerber FS5.42
Yield-line FS2.69
Convention: FS ≥ 2.0 GREEN, ≥ 1.5 YELLOW, < 1.5 RED. The required FS depends on the design code + consequence of failure — ASME VIII Div 3 + API 579 Annex 14B both prescribe specific safety factors.
Download all inputs + calculations + outputs as a single PDF.