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The action of materials under stress; (1897)

Greene, Charles E[zra] 1842- [from old catalog], Greene, Albert Emerson. [from old catalog] · Ann Arbor, Mich., Printed for the author · leaf 269

An illustration from The action of materials under stress;, 1897, leaf 269
point H movesalong H K. with radiusD H, for a small displacement, describing I N. But H K isequal to twice the amount by which B Hexceeds B H; there-fore any arc B I is equal to twice the corresponding chord B H, Let B I = i- = 2B H; B F = ^ = 2B G. B H2 = B L^ + L H^ and L H^ =r B L . L D.… … d. B M — B LBM Thus it appears that any portion of a cycloidal arc abovean arbitrai-y line E F, drawn parallel to A C, may be taken,and the ordinate y from that line to any point I has the ratio SPRINGS. 257 to the ordinate at the middle, \Ji, of the product of therespective segments I E and I F to…

Mechanics, Applied · Strength of materials

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