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Engineering ToolBox > Area Moment of Inertia
Area Moment of Inertia, also known as Second Moment of Inertia - I, is a property of shape that is used to predict deflections and stresses in beams.
Ix =
y2 dA (1)
where
Ix = second moment of inertia
y = the perpendicular distance from axis x to the element dA
dA = an elemental area
Ix = b h3 / 12 (2)
where
b = width
h = height
Ix = π r4 / 4
= π d4 / 64 (3)
where
r = radius
d = diameter
Ix = π (do4 - di4) / 64 (3)
where
do = cylinder outside diameter
di = cylinder inside diameter