Appendix

PROPERTIES OF PLANE SECTIONS

The following symbols will be used:

  • Area
  • Coordinates of centroid of section in coordinate system.
  • Moment of inertia about an axis through the centroid parallel to the axes.
  • Radius of gyration of the section with respect to the centroidal axes parallel to the axes.
  • Product of inertia with respect to the centroidal axes parallel to the axes.
  • Moment of inertia with respect to the axes shown.
  • Radius of gyration of the section with respect to the axes shown.
  • Product of inertia with respect to the axes shown.
  • (same as ) Polar moment of inertia about an axis passing through the centroid.
  • Radius of gyration of the section about the polar axis passing through the centroid.
  • marks the centroid.

PROPERTIES OF HOMOGENEOUS BODIES 

The following symbols will be used:

  • Mass density
  • Mass
  • Coordinates of centroid in coordinate system.
  • Moment of inertia about an axis through the centroid parallel to the axes shown.
  • Radius of gyration of the body with respect to the centroidal axes parallel to the axes shown.
  • , etc. = Product of inertia with respect to the centroidal axes parallel to the axes shown.
  • Moment of inertia with respect to the axes shown.
  • Radius of gyration of the body with respect to the axes shown.
  • , etc. Product of inertia with respect to the axes shown.
  • Moments of inertia and radii of gyration with respect to special axes shown.
  • marks the centroid