Quick guide
How to use this calculator
- Choose the physical relationship and solve direction that match the known measurements rather than forcing unlike quantities into one formula.
- Enter every unit, sign, reference direction, geometry, material property, fluid property, temperature basis, coefficient, and idealization explicitly. The calculator normalizes compatible quantities internally and exposes intermediate values.
- Use reconciliation and companion outputs to catch entry mistakes, then retain the stated model boundary. A theoretical result is not a design approval, material certificate, equipment rating, or safety determination.
Calculation method
How the cross-section properties calculator works
Provide the geometric properties needed by bending, torsion, and slenderness calculations without mixing mass moment of inertia with area moment of inertia.
Rectangle: Iₓ=bh³/12, Iᵧ=hb³/12. Circle: I=πd⁴/64, J=πd⁴/32. Tube subtracts inner from outer fourth-power terms. Z=I/c and r=√(I/A).
Worked example
Cross-Section Properties example
A 100×200 mm rectangle has I about the strong axis of 66.67 million mm⁴ and section modulus 666,667 mm³.
Rectangle: Iₓ=bh³/12, Iᵧ=hb³/12. Circle: I=πd⁴/64, J=πd⁴/32. Tube subtracts inner from outer fourth-power terms. Z=I/c and r=√(I/A).
Supported inputs
Precision and limits
Engineering-model boundary
Properties are centroidal geometric values for the selected ideal shape and axes. Built-up sections, holes, fillets, principal-axis rotation, local buckling, and material behavior are excluded.
Units and precision
Calculations normalize compatible inputs to SI, retain working precision, and round only for display. Very small and large nonzero values use scientific notation; displayed digits cannot create accuracy beyond the entered measurements and properties.
Decision boundary
This page solves the declared idealized relationship only. Verify applicable material data, operating conditions, geometry, loads, coefficients, standards, codes, manufacturer requirements, uncertainty, and professional approval before consequential use.
Category ownership
Generic mechanics, materials, fluid, aerodynamic, wave, and thermodynamic relationships live here. Trade-specific pipe, HVAC, motor, electrical, construction, automotive, radiation, statistical, chemical, and astronomical workflows remain with their established categories.
Privacy
Entered values and results stay in this browser and are not sent to analytics or third parties.
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