Calculate moment of inertia for various geometric shapes. Essential for structural engineering and mechanics calculations.
Moment of inertia (I) is a measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution relative to the axis of rotation and is crucial for structural analysis.
The shape significantly affects moment of inertia. Shapes with mass distributed farther from the axis have higher moments of inertia. For example, a hollow tube has higher I than a solid rod of the same mass.
Moment of inertia has units of mass × length². In SI units, this is kg·m². In engineering, it's often expressed in m⁴ for structural sections.
Moment of inertia is essential for calculating beam deflection, stress distribution, and structural stability. It's a key parameter in structural analysis and design.