### 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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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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Highway Surveys and Location

Surveying is an operation in the civil engineering domain that requires collecting and identifying data regarding an area of land and topography. The data that is collected can be helped to plan and undertake the construction process. Civil engineers perform surveys to gather three-dimensional information regarding a particular area. Engineers specify several points on the surface of the earth and relationship between points, and the distance and angles between the points are evaluated. The data from this evaluation guides in drawing plans regarding buildings and structures.

Question

### 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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