Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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### 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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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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