A Practical Treatise On Railway Curves And Location for Young Engineers Cont
A Practical Treatise On Railway Curves And Location for Young Engineers Cont
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To quickly assess the difficulty of the text, read a short excerpt:
TO FIND THE MIDDLE ORDINATE TO ANY GIVEN CHORD, IN A CURVE OF ANY GIVEN RADIUS.
1st. (See figure in Art. XVL) Ic c = */ a e 2 a F, and a c or be k e = the ordinate required. That is, from the square of the radius subtract the square of half the chord, and take the square root of the remainder from radius, for the middle ordinate.
Example. The radius a c being 819 feet, and the chord a/ 100 feet, to find the middle ordinate, Ik.
Here a ... c k, = 817-5, which taken from radius 819, leaves 1-5, the required middle ordinate.
ORT>I NATES. 63 2d. Subtract the nat. Cosine of the tangential ar/gle from 1, and multiply the remainder by radius.
Example. Suppose a b a 7 curve. Here the nat. Cosine of 3 30', the tangential angle, is -9981, which, sub- tracted from 1, leaves *0019. Multiplying this latter by radius 819, we have 1*5, the middle ordinate as before HAVING GIVEN THE MIDDLE ORDINATE, TO FIND ANY OTHER.
1st. Eg = \/ c e 2 eg*, and ed = eg g d or clt.
What to read after A Practical Treatise On Railway Curves And Location for Young Engineers Cont?
You can find similar books in the "Read Also" column, or choose other free books by William Findlay Shunk to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
TO FIND THE MIDDLE ORDINATE TO ANY GIVEN CHORD, IN A CURVE OF ANY GIVEN RADIUS.
1st. (See figure in Art. XVL) Ic c = */ a e 2 a F, and a c or be k e = the ordinate required. That is, from the square of the radius subtract the square of half the chord, and take the square root of the remainder from radius, for the middle ordinate.
Example. The radius a c being 819 feet, and the chord a/ 100 feet, to find the middle ordinate, Ik.
Here a ... c k, = 817-5, which taken from radius 819, leaves 1-5, the required middle ordinate.
ORT>I NATES. 63 2d. Subtract the nat. Cosine of the tangential ar/gle from 1, and multiply the remainder by radius.
Example. Suppose a b a 7 curve. Here the nat. Cosine of 3 30', the tangential angle, is -9981, which, sub- tracted from 1, leaves *0019. Multiplying this latter by radius 819, we have 1*5, the middle ordinate as before HAVING GIVEN THE MIDDLE ORDINATE, TO FIND ANY OTHER.
1st. Eg = \/ c e 2 eg*, and ed = eg g d or clt.
What to read after A Practical Treatise On Railway Curves And Location for Young Engineers Cont?
You can find similar books in the "Read Also" column, or choose other free books by William Findlay Shunk to read onlineMoreLess
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