 | William Henry Besant - 1885 - 376 páginas
...(2) That the moment of inertia of a plane lamina about any axis perpendicular to the plane is equal to the sum of the moments of inertia about any two axes in the plane, perpendicular to each other, drawn through the foot of the axis. For the first let r'... | |
 | James Henry Cotterill, J. H. Slade - 1891 - 632 páginas
...and hence we have — The polar moment of inertia of an area about any point in its plane is equal to the sum of the moments of inertia about any two axes at right angles, through the point, and in the plane. Apply this, for example, to a circular section radius r. We have... | |
 | R. J. Woods - 1903 - 336 páginas
...letter J. Hence the moment of inertia of an area about an axis O at right angles to the area is equal to the sum of the moments of inertia about any two axes at right angles to one another, through the point O, and in the plane. 63. Moments of inertia about parallel axes. The... | |
 | University of Calcutta - 1914 - 822 páginas
...(i-9=4ai/). 2. Prove that the moment of inertia of a plate bounded by an oval curve about a line OP perpendicular to the plate is equal to the sum of the moments of inertia about any two lines OX + OY perpendicular to each other, О being a point on the plate. Find the moment of inertia... | |
 | William Hubert Burr - 1915 - 986 páginas
...computed. Adding eqs. (4) and (5) ; /'+/"=/i+/2 =/ (Polar moment).. . . (6) Hence the sum of the two moments of inertia about any two axes at right angles to each other is constant and equal to the polar moment of inertia. If the second members of eqs. (4) and (5) be... | |
 | William Hubert Burr - 1915 - 996 páginas
...computed. Adding eqs. (4) and (5) ; 7'+7"=7i+72=7 (Polar moment).. . . (6) Hence the sum of the two moments of inertia about any two axes at right angles to each other is constant and equal to the polar moment of inertia. If the second members of eqs. (4) and (5) be... | |
 | Lionel Simeon Marks - 1916 - 1922 páginas
...lien t he polar moment of inertia of area about O = / -+- J , or the polar moment of inertia is equal to the sum of the moments of inertia about any two axes at right angles to each other in the plane of the area and linU at the pole. Moment of Deviation, or Product of Inertia. This quantity... | |
 | Frank Ward Sterling - 1920 - 1522 páginas
...point is called its polar moment of inertia about that point. The polar moment of inertia is equal to the sum of the moments of inertia about any two axes at right angles to each other and intersecting at the pole. Moments of Inertia of Areas Rectangle about one side, Fig. 20. I =^rI... | |
 | M. M. S. ANAND - 2004 - 1344 páginas
...(r^.)2]"2 (b) [«TX - erv)/2] (c) (d) (e) [(crt - crv)2/4 + (rvv)2]"2 43. If /, and /,. be the moment of inertia about any two axes at right angles to each other in the plane of the area and intersecting at the pole then the polar moment of inertia lp will be (a)... | |
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Ip = /« — /„, or the polar moment of inertia is equal to the sum of the moments of inertia about any two axes at right angles to each other in the plane of the area and intersecting at the pole. 