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TTE4804 HW_1_Spring11

# TTE4804 HW_1_Spring11 - Course TTE 4804/5805-Highway...

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Course: TTE 4804/5805—Highway Geometric Design Homework No.: One Due Date: Thursday, January 13, 2011 Problem 1 Two tangents intersect at station 37+63.82 with a central angle, Δ , of 15º37’30” Rt. A 02º30’00” circular curve connects the two tangents. (a) Draw the circular curve layout and calculate the following: R, T, PC, PI, PT, Δ , L, LC, M and E. (b) Calculate the deflection angle from the PC to station 38+00. Problem 2 Two tangents with bearings as shown intersect at a Point B. A circular curve must pass through a Point C, which is located 350 feet from B with an azimuth for line BC of 260º. (a) Determine the required radius that will pass through Point C. (b) Determine the PC station. (c) Determine the length of curve. Problem 3 The PI of two tangents of a highway is located in a lake. Station A and B are selected to replace the inaccessible PI. (a) What is the radius of the circular curve between the PC and PT? (b) What is the degree of the curve?

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(c) What is the length of the curve? (d) What is the station of the PT? (e) If the instrument is at the PC, what deflection angle should be used to locate staking station 116+00 on the curve? (f) If the instrument is at the PC, what deflection angle should be used to locate staking station 117+00 on the curve?
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TTE4804 HW_1_Spring11 - Course TTE 4804/5805-Highway...

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