Mechanics of engineering (solids) : comprising statics and kinetics of solids, and the mechanics of the materials of construction, or strength and elasticity of beams, columns, shafts, arches, etc. : for use in technical schools (1911)
Church, Irving P. (Irving Porter), 1851-1931 · New York : Wiley ; London : Chapman & Hall · leaf 269
e elastic curve, (6)may be transformed thus, Fig. 223. The curve being very flat, consider two consecutivedss with equal dx&; they maybe put = their dxs. Producethe first to intersect the dy of thesecond, thus cutting off the cTy,(////yi i.e. the difference between two^ffy consecutive dys.… … Fio. sas. equal, and d^y is nearly perpen-dicular to the prolonged ds;hence, considering them sim-ilar, we have p:dx::dx\6Py .*. — = j-| d2yda-.a FLEXURE. 251 and hence from eq. (6) we) , ^ „^d^v may write } {approx.) ±EI^ = M . (Y) as a differential equation of the elastic curve. From thisthe…
Mechanics, Applied · Strength of materials
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