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Fδ = FL³/3EI
Closed-form models

Calculators

Closed-form engineering calculations, each documented with its model assumptions and validity limits — every model tested against hand-calculated reference values.

  • Micro-mechanicsfiber + matrix → ply
  • Laminate TheoryABD + first-ply failure
  • Beam & Vesselsizing + safety factors
  • Unit ConverterGPa ↔ psi · °C ↔ °F
  • Sandwich Panelhoneycomb core · wrinkling
  • Mohr's Circleprincipal stresses
  • Column BucklingEuler · Johnson
  • Bolted Jointpreload · torque
  • Shaft Designfatigue · Goodman
  • Compression Springrate · fatigue
  • Spur GearsAGMA bending · pitting
Calculators 11 tested toolsMicro- mechanics fiber + matrix → plyLaminate Theory ABD + first-ply failureBeam & Vessel sizing + safety factorsUnit Converter GPa ↔ psi · °C ↔ °FSandwich Panel honeycomb core · wrinklingMohr's Circle principal stressesColumn Buckling Euler · JohnsonBolted Joint preload · torqueShaft Design fatigue · GoodmanCompression Spring rate · fatigueSpur Gears AGMA bending · pitting
mpolyco — polymers, composites, mechanical engineeringAboutCareer pathsGet the appLibraryAcknowledgementsPrivacySupportUnits: GPa · MPa · g/cm³ · °C