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Moment of Inertia Calculator
Calculate moment of inertia and radius of gyration for various cross-sectional shapes. Essential for beam design and structural analysis.
Input Parameters
Select cross-section shape and enter dimensions
Results
Calculated moment of inertia and section properties
Moment of Inertia (X-axis)
0.00 mm⁴
Moment of Inertia (Y-axis)
0.00 mm⁴
Cross-sectional Area
0.00 mm²
Radius of Gyration (X)
0.00 mm
Radius of Gyration (Y)
0.00 mm
Formulas Used
Mathematical formulas for moment of inertia calculations
Rectangle
Ix: bh³/12
Iy: hb³/12
Area: bh
Circle
I: πd⁴/64
Area: πd²/4
Hollow Circle
I: π(Do⁴ - Di⁴)/64
Area: π(Do² - Di²)/4
Triangle
Ix: bh³/36
Iy: hb³/48
Area: bh/2
General
Radius of Gyration: r = √(I/A)