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 528
ctionof the coordinate axis F, while r and r ^are two semi-diameters OD and OD, all as shown in Fig. 2. If eqs. (7) and (8) be added, eq. (9) will result; /2 4-/^2 ^ri2+r22 (9) This equation is the expression of one characteristic ofthe ellipse, viz., the sum of the squares of any two conjugate… … Fig. 2. the principal axes, are semi-conjugate diameters of theellipse. Eqs. (7) and (8) are precisely the same in character aseq. (3) of Art. 9 and the ellipse of Fig. 2 is constructed pre-cisely as was the ellipse of stress. The two principal radiiof gyration ri and r2 are represented by the…
Strength of materials · Building materials
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