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Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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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- Consider the same vertical curve from Problem 1 that has a +3.2% initial grade and -1.1% final grade. The point of vertical intersection is at station 98+20. The highest point of the curve is at station 100+79.35 to meet drainage design. What is the station of the point of vertical curvature (Also known as beginning of vertical curve). 92+88.95 92+90.81 92+88.05 (INCORRECT) 92+91.23 This is Question 1: Consider a vertical curve with a +3/2% initial grade and -1.1% final grade. The point of vertical intersection is at station 98+20. The highest point of the curve is at station 100+79.35 to meet drainage design. What is the design speed, in mph? Correct answer here is 70 MPHarrow_forwardA simple circular curve is designed to connect a single lane highway at PI station 64+27.46 sta. with an interior angle (A) = 8° 24'. The terrain conditions require a minimum radius of 2864.79 ft. Compute the following parameters to complete the design process: 1) The station of PC and PT 2) Tangent length (T) 3) Degree of curvature (D) 4) Long Cord (LC) 5) External and middle ordinate (E & M)arrow_forward
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