# Route Surveying

## Finding The Length Of Parabolic Curve Given Change In Grade Per Station

**Problem**

A +0.8% grade meets a -0.4% grade at km 12 + 850 with elevation 35 m. The maximum allowable change in grade per station is 0.2%. Determine the length of the curve.

A. 300 m | C. 80 m |

B. 240 m | D. 120 m |

## Length of Parabolic Sag Curve with Given Change in Grade Per Station

**Problem**

A grade of -5% is followed by a grade of 1%, the grades intersecting at the vertex (Sta. 10 + 060). The change of grade is restricted to 0.4% in 20 m. Compute the length of the vertical parabolic sag curve in meters.

A. 360 m | C. 300 m |

B. 320 m | D. 340 m |

## Compound Curves: Finding the Stationing of PCC with Given Stationing of PC

**Problems**

A compound curve has the following characteristics:

I_{1} = 24° |
D_{1} = 6° |

I_{2} = 36° |
D_{2} = 4° |

Stationing of P.C. = km 10 + 420 |

Compute the stationing of *P.C.C.*

A. km 10 + 560 | C. km 10 + 520 |

B. km 10 + 540 | D. km 10 + 500 |