. Handbook of railroad construction; for the use of American engineers. Containing the necessary rules, tables, and formulæ for the location, construction, equipment, and management of railroads, as built in the United States .. . d the radius of force tends to throw the cars from the track; and iscounteracted by elevating the exterior rail. The centrifugal force of any body in motion in a curvedline is shown by the formula 32 B Where W is the weight in lbs. Fthe velocity in feet per the radius of curvature,and 32 the accelerating force of gravity. The force tending to
. Handbook of railroad construction; for the use of American engineers. Containing the necessary rules, tables, and formulæ for the location, construction, equipment, and management of railroads, as built in the United States .. . d the radius of force tends to throw the cars from the track; and iscounteracted by elevating the exterior rail. The centrifugal force of any body in motion in a curvedline is shown by the formula 32 B Where W is the weight in lbs. Fthe velocity in feet per the radius of curvature,and 32 the accelerating force of gravity. The force tending to throw the car from the rail is notcentrifug-al but tang-eniial, but it matters not whether thebody is kept in position by tension upon the inside or bycompression on the outside; the amount of the force is thesame. The horizontal pro- ^ jection of the centre ofgravity of the car, whenat rest, is at c, fig. 148,and when in motionthe direction of theweight should he ab]and the inclination,c a b, must be suchthat ab will be perpen-dicular toca] to effectwhich, cb should beto ab as the weightto the tangential force; or E being the elevation of therail, g- the gauge, W the weight, and c the tangential force; we have E:g::c: W,. 300 HANDBOOK OF RAILROAD CONSTRUCTION. ^ eg WV- or ^= -^, and c being = -^^; finally E — \ 32 bJ Vg .E. W Fig. 149. Where F= weight of a car. F= speed of train in feet per = gauge of road.^ = radius of ^ elevation of outer rail in feet anddecimals. g and R are the only fixed quantities inthe formula; and the average weight andspeed of a car must be assumed. Examination of the formula shows howimportant it is that all trains should runat such a velocity as to demand the sameelevation of rail. The absolute elevationmust be arranged to meet the requirementof the fastest trains; and other trains mustconform, even at a disadvantage. jJoTE. — The subject of the mechanics of traversing rail-road curves, is yet quite in the dark. The action of t
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