Greene, Charles E[zra] 1842- [from old catalog], Greene, Albert Emerson. [from old catalog] · Ann Arbor, Mich., Printed for the author · leaf 163
quantity P — S= 4-^Er^ — /^ The equationof a straight line which shallnearly coincide with the flattestportion of the curve, on eitherside of the point of contra-flexure, may be substituted forRankines formula for conven-ience, and the same values ofmean stress will be practically obtained within… … puttmg dydx dx O. Thus 2afx d^y — 2<2/( r -|- ^^^) -\- ^d^fx^ (i -|- ax^y dx (i -\- ax^Y Dropping factors, —(i -}- ax^) -j- ^ax^ = o .-. T^ax^ — i;x =1 1 ^ s/ ^a, andjF = f/, the desired co-ordinates. The equation of a straight line tangent to the curve at the point of contraflexure may now be…
Mechanics, Applied · Strength of materials
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