TTE4804 HW _4

TTE4804 HW _4 - Course: Homework No.: Due Date: TTE...

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Course: TTE 4804/5805—Highway Geometric Design Homework No.: Four Due Date: Thursday, February 17, 2011 1. An existing simple horizontal curve is to have spirals added to the ends. The center portion of the curve is to remain unshifted. The curve has the following characteristics: Degree of curve 5 0 Design speed 50 mph Length of spiral transition 200 ft Approximately how much should the tangents be shifted in order to accommodate the spirals? Hint: spiral offset is the same as p for a spiral. 2. An existing simple curve has Δ = 32 0 12’ 30”, D c = 5 0 and PC is at sta. 81+11.40. It is desired to realign the curve and put in equal spirals on each end of the curve such that s θ = 6 0 . Determine: (a) the station for the point of intersection, PI (b) the offset distance, p (c) the tangent distance, T s (d) the distance, x s , for the spiral (e) the offset distance, y s , for the spiral (f) the station for the point of tangent to spiral, TS (g) the station for point of spiral to curve, SC (h) the station for the point of curve to spiral, CS (i) the station for the point of spiral to tangent, ST 3. Show on a sketch how to achieve full superelevation ( e max ) of 10 percent of a 24-foot pavement by revolving the pavement about the centerline. This is a four-lane divided highway with a design speed of 60 mph. The grade of the roadway is -3 percent. The TS is at Sta. 1501+40 at an elevation of 1,000.00’. The external angle, Δ , is 25 0 . Normal crown is 0.02 ft/ft. Show edge and centerline elevations at the TS , SC , and at Sta. 1535+40. Also, indicate cross sections at all major points.
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4. Repeat Problem 3 by revolving the pavement about the inside edge. 5.
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TTE4804 HW _4 - Course: Homework No.: Due Date: TTE...

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