Question

In a railroad layout, the centerline of the two parallel tracts is connected with a reversed curve of unequal radii. The central angle of the first simple curve is 16˚ and the distance between parallel tracks is 27.60 m. If the radius of the second curve is 290 m. Compute the stationing of P.C. if P.T. is at STA. 16 + 123.433

Answer 1

To find the stationing of P.C. in a reversed curve of unequal radii, calculate the sum of the tangent lengths (T) of both curves.

Step-by-step explanation:

In a reversed curve of unequal radii, the central angle of the first simple curve is given as 16˚. The distance between parallel tracks is 27.60 m and the radius of the second curve is 290 m. To compute the stationing of P.C., we need to find the distance from the beginning of the railroad layout to the Point of Curvature (P.C.)

Step 1: Find the tangent length (T) of the first simple curve using the formula ΔT = (ΔSTA * 100) / sin(Δθ)

Step 2: Find the tangent length (T) of the second curve using the same formula.

Step 3: Add the tangent lengths (T) of both curves to find the distance from the beginning of the railroad layout to P.C.

Answer: The stationing of P.C. is the sum of the tangent lengths (T) of both curves.