Geometry of Common Solids
Staff posted on October 23, 2006 |
Geometry of Common Solids
Properties of Hemispherical Shell

 

Surface Area
Lateral Area + Base Area

Volume

Mass

Centroid from yz-plane
Cx

Centroid from zx-plane
Cy

Centroid from xy-plane
Cz

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

NOTE:
is the mass of the body.
All equations use the outer radius of the shell.
is the thickness of the shell and is assumed small.
:is the density of the body.

If , the approximate calculated volume is no more than 10.7% larger than the exact volume. For exact results use the Sphere equations for the outer and inner radii.

All of the above results assume that the body has constant density.

Page: 9 Of 15First  Previous  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  Next  Last  

Recommended For You