The elasticity and resistance of the materials of engineering (1915)
Burr, William H. (William Hubert), 1851-1934 · New York, John Wiley & Sons, inc.; [etc., etc.] · leaf 524
nvenient and important to de-termine the conditions which ex-ist with an isotropic character ofsection in respect to the momentof inertia. In Fig. I let BC be any figurewhose area is A, and whose cen-tre of gravity is at 0. In theplane of that figure let any arbi-FiG. I. trary system of rectangular… … %=% cos a +y sin a,y=^y cos a — % sin a. 476 LONG COLUMNS. [ch. X. The moments of inertia of the surface about the axes y andX will then be j x^dA = cos^ a j x^dA + 2 sin a cos a J xydA + sin^ajys^yl, . . . . (i)J y^dA = cos^ aj j2j^ — 2 sin a cos a j x^^o^yl + sin^ a fx^dA (2) If X and y are to be…
Strength of materials · Building materials
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