Moment of Inertia Calculator

Calculate area, centroidal moments of inertia, and section modulus for standard shapes. Use I and E together in the beam deflection calculator.

Area
60000.00 mm²
Iₓ
4.5000e+8 mm⁴
Iᵧ
2.0000e+8 mm⁴
Section modulus Sₓ
3.0000e+6 mm³

How to use section properties

Enter dimensions in millimeters. Iₓ and Iᵧ describe resistance to bending about the centroidal axes; section modulus Sₓ is Iₓ divided by the farthest-fiber distance. For a symmetric rectangle, Iₓ = bh³/12.

Assumptions

These formulas apply to idealized, homogeneous sections. Check dimensions and use a composite-section calculation for nonstandard built-up shapes.