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英语百科

Second moment of area

An arbitrary shape.  ρ is the radial distance to the element dA, with projections x and y on the axes.
A shape with centroidal axis x. The parallel axis theorem can be used to obtain the second moment of area with respect to the x' axis.
Rectangle with base b and height h.
Annulus with inner radius r1 and outer radius r2.
This article is about the geometrical property of an area, termed the second moment of area. For the moment of inertia dealing with the rotation of an object with mass, see mass moment of inertia.
For a list, see list of second moments of area.

The second moment of area, also known as moment of inertia of plane area, area moment of inertia, or second area moment, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. The second moment of area is typically denoted with either an I for an axis that lies in the plane or with a J for an axis perpendicular to the plane. In both cases, it is calculated with a multiple integral over the object in question. Its unit of dimension is length to fourth power, L.

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