Circular Section Modulus Calculator: worked example
This example is generated from PROFENG's own default input set and the implemented relationship. It is not copied from a cited publication.
Relationship
Z = πd³/32
This calculator determines section modulus from diameter. Use it for first-pass mechanics and machine-design calculations with explicit loads, geometry and material inputs.
Inputs
- Diameter (diameter) = 100 mm
Working
Math.PI*Math.pow((100),3)/32 = 98,175 mm³
Section modulus: 98,175 mm³
Assumptions and limits
- Loads and geometry are represented by the idealized relationship shown.
- Material behavior is treated according to the simple formula, typically linear-elastic where relevant.
- Units and section properties are consistent with the displayed equation.
- A formula-level published source has not yet been confirmed for this exact implementation.
- Until the source is confirmed, use the displayed relationship only as a transparent screening implementation and independently check the method before engineering decisions.
Formula source and acknowledgement
Source being confirmed. No candidate title is displayed until the exact relationship is confirmed against an approved published source.
Automated verification passed – 30 September 2026 – six numerical cases checked, with dimensional checks and an independent implementation where applicable.
This worked example is for engineering screening and education. Replace defaults with traceable project data and confirm the method, assumptions, standards and equipment information before design, procurement or operation.