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What is the tangent distance of the spiral if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg .It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same?

What is the tangent distance of the spiral if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg .It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same?

Structural Analysis
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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I already solved #2 and #3, need help on #1. Thanks!

Assignment 27 1. What is the tangent distance of the spiral if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same? 2. What is the radius of the new eircular curve if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangeney shall be the same? 3. Determine the distance that the curve will move nearer the vertex if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg .It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same? Given: Radius = 280m = 50° deflection angle, 8 New curve spiral = 180-50 = 130° = 2.2689rad = 80 m Answers: 1. Tangent Distance of the Spiral 2. Radius of the New Circular Curve = 80/8 (radians) = 80/2.26893 radius of new circular curve radius of new circular curve = 35.26 m 3. Distance that the Curve will move nearer the vertex distance that the curve will be nearer the vertex= R tan (8/2) = 280 tan (130°/2) = 280 tan (65°) distance that the curve will be nearer the vertex= 600.45 m
Transcribed Image Text:Assignment 27 1. What is the tangent distance of the spiral if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same? 2. What is the radius of the new eircular curve if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangeney shall be the same? 3. Determine the distance that the curve will move nearer the vertex if a simple curve having a radius of 280 m connects two tangents intersecting at an angle of 50 deg .It is to be replaced by another curve having 80 m spiral at its ends such that the point of tangency shall be the same? Given: Radius = 280m = 50° deflection angle, 8 New curve spiral = 180-50 = 130° = 2.2689rad = 80 m Answers: 1. Tangent Distance of the Spiral 2. Radius of the New Circular Curve = 80/8 (radians) = 80/2.26893 radius of new circular curve radius of new circular curve = 35.26 m 3. Distance that the Curve will move nearer the vertex distance that the curve will be nearer the vertex= R tan (8/2) = 280 tan (130°/2) = 280 tan (65°) distance that the curve will be nearer the vertex= 600.45 m
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