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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I already solved #2 and #3, need help on #1. Thanks!
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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