Math Calculators
Moment of Inertia Calculator
Calculate area moments of inertia Iₓ and Iᵧ for triangle, rectangle, semicircle, circle, ellipse, and regular hexagon with unit switching.
Choose a shape and enter its defining dimensions to compute second moments of area around centroidal x-axis and y-axis.
The calculator supports length units (mm, cm, m, km, in, ft, yd, mi, nmi) and quartic inertia units (m⁴, cm⁴, mm⁴, in⁴, ft⁴).
Implemented formulas: triangle b·h³/36 and h·b³/36, rectangle b·h³/12 and h·b³/12, semicircle [π/8 − 8/(9π)]·r⁴ and π·r⁴/8, circle π·r⁴/4, ellipse π·b·a³/4 and π·a·b³/4, regular hexagon 5√3·a⁴/16.
Shape
Width (b)
mm
Height (a)
mm
Iₓ
mm⁴
Iᵧ
mm⁴
Enter valid dimensions to calculate Iₓ and Iᵧ.