The elasticity and resistance of the materials of engineering (1883)
Burr, William H. (William Hubert), 1851-1934 · New York, J. Wiley & sons · leaf 431
h convenientand important to determine the con-ditions which exist with an isotropiccharacter of section in respect tothe moment of inertia. In Fig. \a let BC be any figurewhose area is A, and and whosecentre of gravity is at O. In theplane of that figure let any arbitrarysystem of rectangular… … Fig. l.a X ■= X cos a -\- y sin a, y := y cos a — x sin a. The moments of inertia of the surface about the axes y and xwill then be; Art. 49.] MOMENTS OF INERTIA. 411 \x^dA = cos^ a\x^dA -f- 2 sin a cos a xydA + siii^ a y^dA, y^dA = cof a y^dA — 2 sin a cos ex xydA -\- sin^ a x^dA. If X and y are…
Strength of materials · Building materials
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