What is the safety factor formula?

The calculator uses n = σ_limit / σ_applied, where σ_limit is the selected material strength and σ_applied is the working stress.

Which material options are available?

Presets are available for carbon steel, alloy steel, aluminum alloy, copper, austenitic stainless steel, and titanium alloy. A Custom option is also available.

Should I use yield or ultimate strength?

Use Yield for ductile design, which is the recommended option in the tool, or Ultimate to calculate the factor against ultimate tensile strength.

How is the result classified?

A factor below 1 is failure, 1 to below 1.5 is marginal, and 1.5 or higher is safe.

When is a custom material limit required?

Enter a custom material limit in MPa only when the Material selection is Custom. Preset materials supply their own typical strength values.

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Safety Factor Calculator

Calculate the static safety factor n = σ_limit / σ_applied against yielding (σ_y) or ultimate tensile strength (σ_uts). Built-in typical strengths for carbon/alloy steel, aluminum, copper, austenitic stainless and titanium, plus a custom σ_limit option. Assessment: n<1 failure, 1≤n<1.5 marginal, n≥1.5 safe.

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2 examples

Carbon steel, yield, σ=150 MPa → n = 250/150 = 1.667

Carbon steel σ_y = 250 MPa, σ_uts = 450 MPa. Using yield: n = 250/150 = 1.667 (safe).

{"result":"Carbon steel, yield limit σ_y=250 MPa, applied σ=150 MPa. Safety factor n = σ_y/σ = 250/150 = 1.6667 → safe (n ≥ 1.5).","metadata":{"input":{"material":"carbonSteel","limitType":"yield","appliedStress":150},"result":{"material":"carbonSteel","limitType":"yield","limitStress":250,"appliedStress":150,"safetyFactor":1.6667,"assessment":"safe"}}}

Aluminum, ultimate, σ=200 MPa → n = 310/200 = 1.55

Aluminum σ_uts = 310 MPa. Using ultimate: n = 310/200 = 1.55 (safe, just above 1.5).

{"result":"Aluminum alloy, ultimate limit σ_uts=310 MPa, applied σ=200 MPa. Safety factor n = σ_uts/σ = 310/200 = 1.5500 → safe (n ≥ 1.5).","metadata":{"input":{"material":"aluminum","limitType":"ultimate","appliedStress":200},"result":{"material":"aluminum","limitType":"ultimate","limitStress":310,"appliedStress":200,"safetyFactor":1.55,"assessment":"safe"}}}

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5 options

SettingsAdjust formats, ranges, numbers, and modes.5

MaterialselectOptionalMaterial preset supplies typical σ_y / σ_uts. Choose 'Custom' to enter σ_limit yourself.Limit TypeselectOptionalUse yield strength σ_y (ductile design, recommended) or ultimate tensile strength σ_uts.Material Limit σ (MPa)numberOptionalMaterial limit σ (MPa). Required only when Material is 'Custom'; otherwise derived from the preset.Applied Stress σ (MPa)numberRequiredActual working stress in the part, in MPa.Decimal PlacesnumberOptional

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Safety Factor Calculator

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1. Carbon steel yield-strength check

2. Aluminum ultimate-strength check

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