| Charles Edward Fuller, William Atkinson Johnston - Dynamics - 1913
...Therefore, the moment of inertia of a thin flat plate, of uniform thickness and material, about an **axis in its plane is equal to the moment of inertia of the area** of the plate about that axis multiplied by the weight per unit volume times the thickness of the plate.... | |
| Alfred Peter Poorman - Mechanics, Applied - 1917 - 244 pages
...because I y dA = yA, and for the centroidal axis y = o. Stated in words the equation above is as follows. **The moment of inertia of an area with respect to any axis in its plane is equal to** its moment of inertia with respect to a parallel centroidal axis plus the product of the area and the... | |
| Edward Rose Maurer - Strength of materials - 1917
...moment of inertia can be easily computed from the one given in the tables by the following rule: 49 **The moment of inertia of an area with respect to any axis** equals the moment of inertia with respect to a parallel axis through the center of gravity, plus the... | |
| Arthur Morley - Structural analysis (Engineering) - 1918 - 584 pages
...Theorem (2). — The sum of the moments of inertia of any plane figure about two perpendicular axes **in its plane is equal to the moment of inertia of the** figure about an axis perpendicular to its plane passing through the intersection of the other two axes.... | |
| Edward Rose Maurer - Strength of materials - 1919 - 126 pages
...moment of inertia can be easily computed from the one given in the tables by the following rule: -4"CO **The moment of inertia of an area with respect to any axis** equals the moment of inertia with respect to a parallel axis through the center of gravity, plus the... | |
| George A. Hool, Nathan C. Johnson - Building - 1920 - 1474 pages
...Compound Sections. — The following rule, developed in treatises on mechanics, applies to any area: **The moment of inertia of an area with respect to any axis** equals the moment of inertia with respect to a parallel axis through the center of gravity, plus the... | |
| Civil engineering - 1920
...of inertia can be easily computed from the one given in the tables by the following rule: — 336 49 **The moment of inertia of an area with respect to any axis** equals the moment of inertia with respect to a parallel axis through the center of gravity, plus the... | |
| Fred B. Seely, Newton Edward Ensign - Mechanics, Analytic - 1921 - 486 pages
...IxdA+d- CdA. since I xdA — Ax = Q. J I=1+A<P since Hence the following proposition may be stated : **The moment of inertia of an area with respect to any axis in** the plane of the area is equal to the moment of inertia of the area with respect to a parallel centroidal... | |
| Edward Lewis Attwood - Naval architecture - 1922 - 512 pages
...— I = I. + A/ The moment of inertia of an area about any axis is there|N. fore determined by adding **to the moment of inertia of the area about a parallel axis** through the centre of gravity, the product of the area into the square of the distance between the... | |
| Sidney F. Borg - Technology & Engineering - 1990 - 289 pages
...= /« + Ad2 (3.24) which is the very important parallel axis theorem, stated in words, as follows: **"The moment of inertia of an area with respect to any axis** exceeds its moment of inertia with respect to a parallel axis drawn through its centroid by the product... | |
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