Parallel Axis Theorem
It is often easier to derive the second moment of area with respect to its centroidal axis, . However, it may be necessary to calculate the second moment of area with respect to a different, parallel axis, say the axis. The parallel axis theorem states
where
- = Area of the shape
- = Perpendicular distance between the and axes
A similar statement can be made about the axis and the parallel centroidal axis. Or, in general, any centroidal axis and a parallel axis.
Read more about this topic: Second Moment Of Area
Famous quotes containing the words parallel, axis and/or theorem:
“There is a parallel between the twos and the tens. Tens are trying to test their abilities again, sizing up and experimenting to discover how to fit in. They don’t mean everything they do and say. They are just testing. . . . Take a good deal of your daughter’s behavior with a grain of salt. Try to handle the really outrageous as matter-of-factly as you would a mistake in grammar or spelling.”
—Stella Chess (20th century)
“He is the essence that inquires.
He is the axis of the star;
He is the sparkle of the spar;
He is the heart of every creature;
He is the meaning of each feature;
And his mind is the sky,
Than all it holds more deep, more high.”
—Ralph Waldo Emerson (1803–1882)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)