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Homework 8 Solutions

# Homework 8 Solutions - CEE 370 Transportation Engineering...

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CEE 370 Transportation Engineering Homework # 8 Solutions Problem 1 (a) Station of the high point = VPC + X HP = (22+60.55) + 714.3 = 29+74.84 Elevation of high point (see table below) (b) Station X (from VPC) Elevation (z) 25+00 239.45 658.61 28+00 539.45 665.43 High Point 714.3 666.50 VPT 1000 663.64 Problem 2 STA VPI = 875+25.40, Z VPI = 512.6 STA VPC = 875+25.40 550/2 = 872+50.40 STA VPT = 875+25.40 + 550/2 = 878+00.40 Z VPC = Z VPT = Z 870+50.00 =

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Problem 3 (a) From SSD table, for 55 mph, S=495 ft. Assume S<L, Check Assumption: L<S, NOT OK! Assume S>L Check Assumption: L<S, OK! The minimum length of curve that meets MSSD is 270.67 ft, which is shorter than the 495 feet SSD . (b) Since grades are constantly increasing, the High Point of this curve will be on the VPT. Therefore the distance between the high point and VPC is 1200 ft. Problem 4 SSD for a 30 mph design is 200 ft by the AASHTO tables. Find the length of sag curve needed for SSD: Assume S < L Check Assumption S < L 200 ft is not less than 181.82 ft Assume S > L
Check Assumption S > L Here we see that S > L, which is fine. But, a 180 ft length does not meet the desire to keep the curve length under 120 ft. We need to design for something other than SSD.

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Homework 8 Solutions - CEE 370 Transportation Engineering...

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