Fig. 146.

Example.—Let the radius of outer rail be five hundred feet, and the gauge five feet. We have, then, the distance

(A.) D = √5002 – 4952 = 72 feet, very nearly.

Also, Sin E C D = Sin 90 log D
log R,

(B.) or Sin 90 log 72
log 500 = 8° 17′,

and the length of switch

(C.) √5002 – 499.652 = 18¾ feet nearly.

Five hundred feet is, therefore, about the longest radius for which such switches should be used.

SIDINGS AND CROSSINGS.