Area Moment of Inertia Calculator for a Circle

Moment of Inertia (I) = (π × Diameter⁴) / 64

Result: Moment of Inertia (I) =

Practical Examples:

A circular structural beam with a diameter of 0.5 meters is used. Calculate the moment of inertia.

Solution: I = (π × 0.5⁴) / 64 = 0.0002 m⁴

A machine shaft with a diameter of 0.1 meters is being analyzed. Calculate its moment of inertia.

Solution: I = (π × 0.1⁴) / 64 = 1.2 × 10^-6 m⁴

A rotating disk with a diameter of 1 meter is tested for its moment of inertia.

Solution: I = (π × 1⁴) / 64 = 0.049 m⁴

A piston rod with a diameter of 0.02 meters is used in a hydraulic system. Calculate its moment of inertia.

Solution: I = (π × 0.02⁴) / 64 = 3.2 × 10^-10 m⁴

A cylindrical column with a diameter of 0.75 meters is used in construction. Find its moment of inertia.

Solution: I = (π × 0.75⁴) / 64 = 0.016 m⁴