Design Calculators - Mechanical

This calculator helps determine either the allowable stress for a given design factor or the factor of safety for a known applied stress, based on material yield and ultimate tensile strengths.

Key Inputs:

• Unit System: Select Metric (MPa, N, mm) or Imperial (psi, lbf, inches).
• Calculation Mode: Choose to calculate "Allowable Stress" or "Factor of Safety".
• Material Type: Select from common materials (Steel, Aluminum) to auto-populate strengths, or enter custom values.
• Yield Strength (\(S_y\)): The stress at which the material begins to plastically deform.
• Ultimate Tensile Strength (\(S_{ut}\)): The maximum stress the material can withstand before fracture.
• Applied Normal Stress (\(\sigma_{applied}\)): The maximum normal stress experienced by the component (required for Factor of Safety calculation).
• Desired Factor of Safety (\(FoS_{desired}\)): The target design factor to ensure safety (required for Allowable Stress calculation).

Calculated Outputs:

• Allowable Stress (Yield) (\(\sigma_{allowable, y}\)): The maximum permissible stress based on yield strength and desired FoS.
• Allowable Stress (Ultimate) (\(\sigma_{allowable, ut}\)): The maximum permissible stress based on ultimate strength and desired FoS.
• Factor of Safety (Yield) (\(FoS_y\)): The actual factor of safety relative to yield strength and applied stress.
• Factor of Safety (Ultimate) (\(FoS_{ut}\)): The actual factor of safety relative to ultimate strength and applied stress.