Polar Moment of Inertia Calculator
Calculate the polar moment of inertia for different cross-sectional shapes including circular, annular, and rectangular sections. This tool helps analyze a structure’s resistance to torsion and rotational deformation in both SI and imperial units.
Formulas Used
- Circular Shaft: J = (π r⁴) / 2
- Annular Section: J = (π (rₒ⁴ − rᵢ⁴)) / 2
- Rectangular Section: J = (w h (w² + h²)) / 12
- Unit Conversion: 1 in = 0.0254 m
Use Cases
- - Shaft and torsion analysis in mechanical engineering
- - Structural design for beams and rotating components
- - Mechanical system optimization and safety analysis
- - Engineering assignments and lab calculations
- - Stress and deformation analysis under torque