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:
“The parallel between antifeminism and race prejudice is striking. The same underlying motives appear to be at work, namely fear, jealousy, feelings of insecurity, fear of economic competition, guilt feelings, and the like. Many of the leaders of the feminist movement in the nineteenth-century United States clearly understood the similarity of the motives at work in antifeminism and race discrimination and associated themselves with the anti slavery movement.”
—Ashley Montagu (b. 1905)
“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)