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:

I1 = 24° D1 = 6°
I2 = 36° D2 = 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
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