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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 69

An illustration from 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, leaf 69
6 =T lot i/ .•.h= r tan. 17. If R is given, we have (§ 70) R = b cot. ^7 cot. |^7, or 6R eot ^ Jcot. i / ..b = R tan. ;J 7 tan. ^ 7. 50 CIRCULAR CURVES. Example. Given /= 27°, T= 600 or 7^ = 2499 lb, to fin.l IHere b = 600 tan. 6° 45 = 71 01, or i = 2499.18 tan. 6° 45tan. 13° 30 = 71.01. 1 72.… … Solution. Produce DE to the curve at G, and dra^7 C 0 to the cen-tre 0. Denote DFbyc. Then in the right triangle CDF we have(Tab. X. U) DF= CD cos. CDF, or c = a cos. Denote the distance A D from D to the tangent point by x. Then, byGeometry, x^ = D E X D G. But D G = D F-\- FG = DF +EF=2DF—DE = 2c…

Railroad engineering · Ferrovias

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