The Transition Spiral And Its Introduction to Railway Curves With Field Exercises in Construction And Alignment

Cover The Transition Spiral And Its Introduction to Railway Curves With Field Exercises in Construction And Alignment
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Inserting an absurdly long transition l„ which for the gap of 22J inches would be 7-47 chains, giving a gradient of approach of 1 in 3220.
3. Lengthening the end transition to the flatter curve such that a convenient gap of, say, 4 inches would result.
But this would mean both inordinately long central and end transitions.
Hence it is evident that the conditions that demand central transitions result normally in a large gap, while such required by radii differing by 50 per cent, are only about
...4 inches as far as difference in curvature is concerned.
However, other considerations may warrant a large gap even though the transition \ is consequently excessive.
In order to introduce shifting a half of the composite FIELD EXEEOISES 75 curve, let the first assumption be followed, a gap of 3" being introduced. Then the shift S for the larger radius R should be such that S= (s sec /3-3") cos a, or (as in Fig. 4) AA' should be (35-27-3) cos 36° 52', or 17-99 inches. Hence, since AA' is greater than S, the point B must be slid along the tangent a distance B6', which is expressed by (gsecj8-3)cosa-S _ 17-99 - 10-22 „ 8in(a-y8) ~ -8437 -^^'^'■■ 4.


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