The Field Practice of Laying Out Circular Curves for Railroads
The Field Practice of Laying Out Circular Curves for Railroads
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In our eReader you can find the full English version of the book. Read The Field Practice of Laying Out Circular Curves for Railroads Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Field Practice of Laying Out Circular Curves for Railroads
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To quickly assess the difficulty of the text, read a short excerpt:
To find the Tangential Distance corresponding to any given radius, and to equal chords of any given length.
Rule. First find the tangential angle by Article XVI. , and take from the table of natural sines, that correspond- * Because the deflection distance to a radius of 10000 feet, with chords of 100 feet, is 1 foot; and the deflection distances for other radii increase inversely as the radii.
23 ing to one-half of the tangential angle. Then multiply double this sine by the given chord, for th...e tangential dis- tance. By this rule our table was prepared.
Example. Let the radius be 2865 feet, and the chords 100 feet each; what will be the tangential distance?
Here we find, by Article XVI. , the tangential angle 1 for a radius of 2865 feet.
The natural sine corresponding to 30 minutes, or one- half of this tangential angle, is, by the table of sines, 008727; the double of which is -017454, which, multiplied by the chord, or 100 feet, gives 1-745 feet for the tangen- tial distance required.
What to read after The Field Practice of Laying Out Circular Curves for Railroads?
You can find similar books in the "Read Also" column, or choose other free books by John C John Cresson Trautwine to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
To find the Tangential Distance corresponding to any given radius, and to equal chords of any given length.
Rule. First find the tangential angle by Article XVI. , and take from the table of natural sines, that correspond- * Because the deflection distance to a radius of 10000 feet, with chords of 100 feet, is 1 foot; and the deflection distances for other radii increase inversely as the radii.
23 ing to one-half of the tangential angle. Then multiply double this sine by the given chord, for th...e tangential dis- tance. By this rule our table was prepared.
Example. Let the radius be 2865 feet, and the chords 100 feet each; what will be the tangential distance?
Here we find, by Article XVI. , the tangential angle 1 for a radius of 2865 feet.
The natural sine corresponding to 30 minutes, or one- half of this tangential angle, is, by the table of sines, 008727; the double of which is -017454, which, multiplied by the chord, or 100 feet, gives 1-745 feet for the tangen- tial distance required.
What to read after The Field Practice of Laying Out Circular Curves for Railroads?
You can find similar books in the "Read Also" column, or choose other free books by John C John Cresson Trautwine to read onlineMoreLess
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