Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)
Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 497
] 391. The Elastic Curve of a Horizontal Loaded Beam, Homoge«neous and Originally Straight and Prismatic, is an EquilibriumPolygon, whose load-line is vertical \ j and consists of the successive productsMdx [treated as if they were loads Aeach applied through the middle ofits proper dx], and tvhose… … Fig. 442. dx (Mdx)~ET (1) where d2y=DC ;&nd, hence, if a triangle (Fig. 442) ODC,be formed with OD || to OD, OC || to 00, and DC ver-tical, while its (horizontal) altitude On is made equal, byscale, to EI of the beam, then from the similarity of thetriangle ODG and ODC and the proportion in eq.…
Mechanics, Applied · Engineering · Strength of materials
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