Railroad Curves And Earthwork

Cover Railroad Curves And Earthwork
Railroad Curves And Earthwork
C Frank Calvin Frank Allen
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Problem. Given a Compound Curve ending in a given tangent.
Required to change the P. C. C. So as to end in a given parallel tangent, the radii re- maining unchanged.
I. When the new tangent lies outside the old tangent, and the curve ends with curve of larger radius.
Let ACB be the given com- pound curve.
AC'S" the required curve. Produce C'O to P', draw arc C'B" and connect P'B".
~jr/~t~B" Produce arc AC to B' and con- nect OB'.
Draw perpendiculars C'SD, CTK, B'LE', and BE. Then EB" = E'B" LB
...= DB" -SB'-(KB-TB') = P'C' vers C'P'B" - OC' vers C'OB' - (PC vers CPB - OC vers COB') p = (Ri-R s } vers /, ' - (R t - R 8 ) vers /, Ri-R, = vers TI' vers 7j.
(65) 116. II. When the new tangent lies inside the old tangent, and the curve ends with the curve of larger radius.
= vers Ii vers //.
(66) 117. III. When the new tangent lies outside the old tangent, and the curve ends with curve of smaller radius. With a new figure it may be shown that = vers I s vers I a ' (67) 118. IV. When the new tangent lies inside the old tangent, and the curve ends with curve of smaller radius.


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