Second Moment of Area Calculator

The area moment of inertia is a geometrical property which shows how its points are distributed and predicts the beam deflection. The beams resistance to bending is represented by second moment area. The objects resistance for being rotated is measured by area moment of inertia calculator. Select the common shapes and enter the width, height, radius in the second moment of area calculator, to find area moment of inertia of semicircle, circle, triangle and rectangle.

Area Moment of Inertia Calculator

To Find
mm
mm
mm
mm4
mm4

The area moment of inertia is a geometrical property which shows how its points are distributed and predicts the beam deflection. The beams resistance to bending is represented by second moment area. The objects resistance for being rotated is measured by area moment of inertia calculator. Select the common shapes and enter the width, height, radius in the second moment of area calculator, to find area moment of inertia of semicircle, circle, triangle and rectangle.

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Area Moment of Inertia Formula:

Rectangle Ix = w × h3 / 12 Iy = h × w3 / 12 Triangle Ix = w × h3 / 36 SemiCircle Ix, Iy = π × r4 / 8 Circle Ix, Iy = π × r4 / 4 Where, Ix, Iy = Area Moment Of Inertia w = Width h = Height r = Radius

Example:

Find the area moment of inertia for the rectangular object of width 8mm and height 5mm.

Solution:

Ix = 8 × 53 / 12
= 83.3333
Iy = 5 × 83 / 12
= 213.3333


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