engineering fundamentals Properties of Rectangular Block
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Properties of Rectangular Block
Centroid from yz-plane
Cx
Centroid from zx-plane
Cy
Centroid from xy-plane
Cz

Surface Area
Lateral Area + Base Area
Volume Mass

Mass Moment of Inertia
about the x axis
Ixx
Mass Moment of Inertia
about the y axis
Iyy
Mass Moment of Inertia
about the z axis
Izz

Radius of Gyration
about the x axis
kxx
Radius of Gyration
about the y axis
kyy
Radius of Gyration
about the z axis
kzz

Moment of Inertia about the centroidal x axis ( xc )
IXcXc
Moment of Inertia about the centroidal y axis ( yc )
IYcYc
Moment of Inertia about the centroidal z axis ( zc )
IZcZc

Radius of Gyration about the centroidal x axis ( xc )
kXcXc
Radius of Gyration about the centroidal y axis ( yc )
kYcYc
Radius of Gyration about the centroidal z axis ( zc )
kZcZc

Moment of Inertia about the x1 axis
IX1X1
Moment of Inertia about the y1 axis
IY1Y1
Moment of Inertia about the z1 axis
IZ1Z1

Radius of Gyration about the x1 axis
kX1X1
Radius of Gyration about the y1 axis
kY1Y1
Radius of Gyration about the z1 axis
kZ1Z1

NOTE:
is the mass of the entire body.
is the density of the body.
is the outer radius of the body.

All of the above results assume that the body has constant density. For none constant density see the general integral forms of Mass, Mass Moment of Inertia, and Mass Radius of Gyration.

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