Structural mechanics : comprising the strength and resistance of materials and elements of structural design, with examples and problems (1907)
Greene, Charles E. (Charles Ezra), 1842-1903, Greene, Albert Emerson · New York : John Wiley & Sons ; London : Chapman & Hall · leaf 91
5.75X2.875-^9.5=1.74 in. ^=iXK4-oi3+i.74^) + iX3.75X1.74^= 17-30 in.4 78. Rotation of Axes.—If the moments of inertia abouttwo axes at right angles are known, the moments of inertia aboutaxes making an angle a withthe first may be found. In the solution the quantityyzy(/5 or / / zydzdy occurs,… … MOMENTS OF INERTIA OF PLANE AREAS. 77 //= J {y COS a —z sin aj^dS = J y^ cos^ adS — 2J zy sin a cos adS+fz^ sin^ adS,ly = J (z COS a +y sin a)^dS = Jz^ cos^ adS -{-2J zy sin a cos adS+jy^ sin^ q:(/5 Z = J (z cos a +>» sin «)(} cos a —z sin a:)(/5 = J (y^ —z^) sin a cos adS + j zy cos^ adS —J zy…
Mechanics · Structural analysis (Engineering)
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