Horizontal Curve
Compound Curve
Combination of two or more circular
curves with the center of curvature on the
same side of the curve. The point where
the two circular curves meet is called the
Point of Compound Curvature (P.C.C).
Example No. 1
A compound curve has a common tangent 400m long. The first curve passing through
the P.C. is a 3-degree curve with a central angle of 35°.
1. Find the radius of the second curve if its central angle is 50°.
2. Find the station of P.T. if the P.I. of the compound curve (intersection of the tangent
passing through P.C. and the tangent passing through P.T.) is at STA 10+125.
Example No. 2
The long chord from the PC to the PT of a compound curve is 250m long and the
angles it makes with the tangent passing through PC and the tangent passing through PT
are 14° and 18°, respectively. If the common tangent is parallel to the chord.
1. Find the radius of the first curve.
2. Find the radius of the second curve.
3. If the stationing of PC is 8+950, find the stationing of PT.