Documentation/Modules/Engineering Formulas

Engineering Formulas

Searchable hub of common physics formulas

Standards catalog

Validation: indicative · Method band: formula

Open calculator

Indicative method: Indicative closed-form or numerical model

Assumptions

  • Linear elastic material behavior unless noted otherwise.
  • User is responsible for load combinations and load factors per the selected design code.
  • Design standard (US/EU/ISO) sets unit defaults and screening check labels — not a full code worksheet.

Limitations

  • Professional screening / indicative workspace — does not replace a licensed PE or official code compliance review.
  • Where specialized evaluators are not implemented, checks map solver outputs to catalog templates for orientation only.

Engineering checks

CheckINDUSEUISO
Formula evaluationimplemented———

Engineering Formulas (formula-reference)

Purpose

Provide a searchable hub of common engineering formulas with mini-calculators for quick hand-checks. Bridges textbook equations and PhyCalcPro module workflows without full solver setup.

Physics & theory

The formula reference aggregates frequently used relations from mechanics, thermodynamics, fluids, and electrical domains — kinetic energy , ideal gas law , Hooke's law , and similar. Each entry includes symbolic expression, input variables, and computed result with units.

Formulas serve verification: compare module output against independent calculation, or solve isolated problems not warranting a dedicated module. Safe expression evaluation prevents invalid operations; units are documented per formula.

Governing equations

Formula-specific — examples include:

Numerical method

Catalog lookup and evaluation (formula-reference/engine): FORMULAS registry maps formulaId to calculation function. Inputs passed as key-value record; result returned with unit label. Uses safe evaluator for expressions where applicable.

Inputs

ParameterDescription
formulaIdSelected formula from catalog
inputsFormula-specific numeric inputs

Outputs

  • Formula name, symbolic expression, numeric result, unit string.

Design codes & checks

  • Indicative: Formula evaluation (reference tool)

Assumptions & limitations

  • Reference-level accuracy; not tied to design code partial factors.
  • Formula scope limited to catalog entries — not exhaustive handbook.
  • Unit responsibility on user unless converter integrated.
  • Does not replace validated module solvers for certified work.

References

  1. Shigley, J. E., & Budynas, R. G. Mechanical Engineering Design, 11th ed.
  2. Roark, R. J., Young, W. C., & Budynas, R. G. Formulas for Stress and Strain, 8th ed.
  3. Marks' Standard Handbook for Mechanical Engineers, 12th ed.
  4. CRC Handbook of Chemistry and Physics.
  5. PhyCalcPro verification benchmarks in src/data/verification/ where available for this module.
  6. Beer, F. P., et al. Mechanics of Materials, 8th ed. McGraw-Hill — foundational stress and deformation theory.
Maintainer note: Formula hub and mini calculators.