I already solved #2 and #3, need help on #1. Thanks! Assignment 271. What is the tangent distance of the spiral if a simple curve having a radius of 280 m connects twotangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 mspiral 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 connectstwo tangents intersecting at an angle of 50 deg It is to be replaced by another curve having 80 mspiral 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 aradius of 280 m connects two tangents intersecting at an angle of 50 deg .It is to be replaced byanother curve having 80 m spiral at its ends such that the point of tangency shall be the same?Given:Radius= 280m= 50°deflection angle, 8New curve spiral= 180-50= 130°= 2.2689rad= 80 mAnswers:1. Tangent Distance of the Spiral2. Radius of the New Circular Curve= 80/8 (radians)= 80/2.26893radius of new circular curveradius of new circular curve= 35.26 m3. Distance that the Curve will move nearer the vertexdistance 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

Since you have solved question 2 and 3 please check the answer for question 1 below.

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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

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