Q2) A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 43.00 ft. The PI is at station 65+43.21 Determine: (a) The central angle of the curve; (b) The radius of the curve; (c) The length of
Q2) A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 43.00 ft. The PI is at station 65+43.21 Determine: (a) The central angle of the curve; (b) The radius of the curve; (c) The length of
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Highway Curve Design Problem
#### Problem Statement:
A proposed highway has two tangents with bearings N 45°54'36" E and N 1°22'30" W. The highway design engineer, in an effort to achieve the best fit for a simple circular curve connecting these tangents, determines that the external ordinate should be 43.00 ft. The Point of Intersection (PI) is situated at station 65+43.21.
#### Task:
Determine the following:
(a) The central angle of the curve
(b) The radius of the curve
(c) The length of the tangent of the curve
(d) The station of the Point of Curvature (PC)
(e) The length of the curve
(f) The station of the Point of Tangency (PT)
This exercise involves using geometric principles and mathematical calculations to fit a simple circular curve to the specified tangents on the proposed highway.
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