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Area Moment of Inertia of a Half-Disk about a Centroidal Axis

The second moment of area, also known as the moment of inertia of a plane area, area moment of inertia or second area moment, is a geometrical property of an area that reflects how its points are distributed with regards to an arbitrary axis.

The second moment of area for a half-disk equals the radius to the fourth power multiplied by a constant factor.


QuantityVariable["J", "SecondMomentOfArea"] == (-8/(9*Pi) + Pi/8)*QuantityVariable["R", "Radius"]^4

symbol description physical quantity
J second moment of area "SecondMomentOfArea"
R radius "Radius"



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