The Field Practice of Laying Out Circular Curves for RailroadsJ. Wiley & sons, 1886 - 180 páginas |
Outras edições - Ver todos
The Field Practice of Laying Out Circular Curves for Railroads (Classic Reprint) John C. Trautwine Prévia não disponível - 2017 |
The Field Practice of Laying Out Circular Curves for Railroads John C. (John Cresson) Trautwine Prévia não disponível - 2012 |
The Field Practice of Laying Out Circular Curves for Railroads John Cresson Trautwine Prévia não disponível - 2023 |
Termos e frases comuns
100 feet Chord 50 feet ACTUAL APEX angle a cz Angle of Deflection Angle of Middle apart.-Chord one hundred Apex D apex distance ARTICLE chord tangential chord-deflection angle chords of 100 compound curve Cosecant Cotang curvature Defl'n deflection distance entire chord entire curve exceeds 180 feet radius Find the sine five feet apart.-Chord half the central half the sub-chord instrument length long chord middle ordinate miles per hour nat tangent NATURAL SINES number of chords Opposite this sine Ordinates five feet outer meeting angle quotient radii Radius in feet Remark reverse curve right angles Rule screws Secant sine of 13 sine of half SINES AND TANGENTS stake straight line sub-deflection angle sub-deflection distance sub-tangential angle sub-tangential distance subtended table of sines Tang tangential distance telescope total central angle total deflection angle tral angle versed sine whole-chord tangential angle
Passagens mais conhecidas
Página 12 - ... &c., as before, to the end of the curve. Finally, in order to pass from the end of the curve at...
Página 25 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Página 11 - METHOD 1. To lay out a Curve by means of Tangential Angles. IF from any point B, Fig. 1, in a straight line AD, we lay off any number of equal angles, as DB s, s B t, t...
Página 29 - ... subtract the square of the distance oi, which the required ordinate in is from the middle ordinate de, and extract the square root of the remainder. This square root will be o c. From this square root oc subtract ec; the remainder will be oe, which is equal to in the required ordinate. Example. — The middle ordinate de, of a 100 ft. chord...
Página 19 - We have hitherto spoken of curves as if they were composed of equal chords, each of 100 feet in length. It frequently happens, however, that at the end of a curve, as at e, fig. 4, we are obliged to use a shorter or sub-chord de, in order to unite properly with the tangent ef. In that case, and when using Method 1 , Art. I., of laying off curves by means of tangential angles, we must, in order to fix the point e, lay off a sub-tangential angle d A e, as much smaller than the entire tangential angle...
Página 23 - ARTICLE V. Ordinates for Entire Chords. It would be both tedious, and liable to inaccuracy, to attempt to fix all the necessary points in railroad curves by the foregoing means, which are employed only for entire chords, or for such sub-chords as may be required at the ends of curves. The best method is to stretch a piece of twine ab, fig. 6, 100 feet long, between two adjacent chord-stakes, Fig.
Página 33 - Chords. When this method of laying out curves by long chords is used, the instrument should be moved to each successive point after it is determined, in order to fix the next one, instead of attempting to obtain more than one point from one position of the instrument; because when the chords are longer than one chain, they cannot be measured in the right direction by eye, but must be guided by the instrument. It must be especially borne in mind, that...
Página 30 - ... accuracy for practice. Ordinates for Sub-Chords. These may readily be calculated approximately enough for railroad practice, for curves of over 300 feet radius, and for chords not exceeding 100 feet, thus: In a circle of given radius, not less than about 300 feet, the ordinates of an entire 100...