. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . Fig. 31. Fig. 32. intersects the new tangent. The solution is almost identicalwith that in § 63, a. b. Assume that it is desired to change the forward tangent(as above) but to retain the same radius. In Fig. 32 (i?2~-^i) cos J2 =^2^ J (Ri-Ri) cos J2 =0/n\ X=02n—Ogn = (R2—Ri) (cos J2 ~ cos J3O. cos i/ = cos J, R2—R1 (24) The is moved backward along the sharper curve anangular distance of A2 —^2 = ^^ — 4/, In case the tangent is moved inward rather than outward,the solutio
. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . Fig. 31. Fig. 32. intersects the new tangent. The solution is almost identicalwith that in § 63, a. b. Assume that it is desired to change the forward tangent(as above) but to retain the same radius. In Fig. 32 (i?2~-^i) cos J2 =^2^ J (Ri-Ri) cos J2 =0/n\ X=02n—Ogn = (R2—Ri) (cos J2 ~ cos J3O. cos i/ = cos J, R2—R1 (24) The is moved backward along the sharper curve anangular distance of A2 —^2 = ^^ — 4/, In case the tangent is moved inward rather than outward,the solution will apply by transposing A2 and A2. Then weshall have cos i2 = cos ^2+0 5- (25) K2—Kx 80 RAILROAD CONSTRUCTION, §69. The is then moved forward. c. Assume the same case as (b) except that the larger radiuscomes first and that the tangent adjacent to the smaller radiusis moved. In Fig. 33 (R2—R1) cos J, =0{n;(R2-R1) cosi/=OiV. = (R2—Ri)(cos J/—cos Ji). cos JI = cos JI R2—R1 (26)
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