Structural mechanics; comprising the strength and resistance of materials and elements of structural design (1905)
Greene, Charles E. (Charles Ezra), 1842-1903, Greene, Albert Emerson. [from old catalog] · New York, J. Wiley & sons; [etc., etc.] · leaf 91
inertiaand represented by Z. Prod-ucts of inertia may be eitherpositive or negative accordingto the position of the axes. Fiom Fig. 39, z = z cos a+y sin a, v = v cos a —z sin a: … Fig. 39 MOMENTS OF INERTIA OF PLANE AREAS. 77 Ig = f(y cos a—z sin a)2dS = jy2 cos2 adS — 2 / zy sin a cos adS + / z2 sin2 adS,Iy = J (z cos a +v sin a)2J5 = J z2 cos2 adS -t-2jzy sin a cos aJS +jy2 sin2 atf5Z = J (z cos a: +v sin a)(y cos a: —2 sin a)dS = / (y2 —z2) sin a: cos adS +jzy cos2 adS —…
