Railroad Curves And Earthwork
Railroad Curves And Earthwork
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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.
What to read after Railroad Curves And Earthwork?
You can find similar books in the "Read Also" column, or choose other free books by C Frank Calvin Frank Allen to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after Railroad Curves And Earthwork?
You can find similar books in the "Read Also" column, or choose other free books by C Frank Calvin Frank Allen to read onlineMoreLess
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