Field-book for railroad engineers. Containing formulas for laying out curves, determining frog angles, levelling, calculating earth-work, etc., etc., together with tables of radii, ordinates deflections, long chords, magnetic variation, logarithms, logarithmic and natural sines, tangents, etc., etc (1877)
Henck, John Benjamin, 1816-1903 · New York : D. Appleton · leaf 31
his will be often enough, if the rails,which are seldom shorter than 15 feet, have been properly curved(§ 28). 25. Problem. Given the dpflection angle D or the radius R of acame, to Jind the ordinates for any chord. Solution. I. To find the middle ordinate. Let AEB (fig. 4) beft portion of a curve,… … = tan. E A D, or E D But, since the angle EAD is measured by half the arc BE, or by half the equal arc AE^we have EAD=hAFE. Tlierefore E D = AD tan. ^ AFE, ox ^ m^ hciVin-^AFE. When c = 100, A FE = /) (§ ), and m = 50 tan. 5 /), whence 7/)may be obtained from the tabic of natural tangents, by…
Railroad engineering · Ferrovias
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