. Railroad construction. Theory and practice . Fig. 26. Fig. 27. intersects the new tangent. The solution is almost identicalwith that in § 33, a. b. Assume that it is desired to change the forward tangent(as above) but to retain the same radius. In Fig. 27 (7?2~^i) cos J2 =02ny (R2-R,) cosi2 =02V. X = 02n—02n = {R2 — Ri) (cos J2 — <^os J2O• cos J/ = cos J- X (24) R2—R1 The is moved backward along the sharper curve anangular distance of J2 —^2 = ^1 —^/. In case the tangent is moved inward rather than outward,the solution will apply by transposing J2 and Jg- Then weshall have X cos Ji
. Railroad construction. Theory and practice . Fig. 26. Fig. 27. intersects the new tangent. The solution is almost identicalwith that in § 33, a. b. Assume that it is desired to change the forward tangent(as above) but to retain the same radius. In Fig. 27 (7?2~^i) cos J2 =02ny (R2-R,) cosi2 =02V. X = 02n—02n = {R2 — Ri) (cos J2 — <^os J2O• cos J/ = cos J- X (24) R2—R1 The is moved backward along the sharper curve anangular distance of J2 —^2 = ^1 —^/. In case the tangent is moved inward rather than outward,the solution will apply by transposing J2 and Jg- Then weshall have X cos Ji^ = COS ^2 + R2—RI (25) §39. ALIGNMENT. 41 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. 28 (Ro—R{) cos J, =0{n;(R,-R,) cos J/=0,n\ x=0^n^—0{ii= (7^2—^i)(cos i/—cos ii). cos i/ = cos ii R2—-^1 (26)
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