Section or Ratio Three Dimensions Calculator

This calculator helps you calculate various three-dimensional section properties including area, volume, moment of inertia, and other important geometric properties.

Input Parameters

Calculation Results

Calculation Results

Cross-sectional Area (A): 0 mm²

Volume (V): 0 mm³

Moment of Inertia (Iz): 0 mm⁴

Section Modulus (S): 0 mm³

Radius of Gyration (r): 0 mm

Calculation Formula

The calculations are based on standard geometric formulas for rectangular sections.

Where:
A = L × W (Cross-sectional Area)
V = L × W × T (Volume)
Iz = (T × W³)/12 (Moment of Inertia about z-axis)
S = (T × W²)/6 (Section Modulus)
r = √(Iz/A) (Radius of Gyration)

Section or Ratio Three Dimensions Calculator Calculator Usage Guide

Learn how to use the Section or Ratio Three Dimensions Calculator calculator and its working principles

How to Use This Calculator

  1. Enter the dimensions of your three-dimensional section:
    • Length (L): The longest dimension of your section
    • Width (W): The second longest dimension perpendicular to the length
    • Height (H): The dimension perpendicular to both length and width
    • Thickness (T): The thickness of the section (for hollow sections)
  2. Click the "Calculate" button to compute the section properties
  3. The calculator will display the following properties:
    • Cross-sectional Area (A)
    • Volume (V)
    • Moment of Inertia (Iz) about the z-axis
    • Section Modulus (S)
    • Radius of Gyration (r)

Applications

This calculator is useful for engineers and designers working with three-dimensional sections such as:

  • Beams and columns in structural engineering
  • Shafts and other rotating machinery components
  • Custom fabricated parts
  • Manufacturing and production design

Notes

The calculations are based on standard geometric formulas for rectangular sections. For more complex shapes, additional calculations would be needed.

Ensure all dimensions are in the same units (mm in this calculator) for accurate results.