A simple curve having a radius 280m connects two tangents intersecting at an angle of 50°. It is to be replace by another curve having 80m spirals at its ends such that the point of tangency shall be the same. а. Determine the radius of the new circular curve. b. Determine the central angle of the circular curve. С. Determine the offset of the tangent at the end of the spiral.

A simple curve having a radius 280m connects two tangents intersecting at an angle of 50°. It is to be replace by another curve having 80m spirals at its ends such that the point of tangency shall be the same. а. Determine the radius of the new circular curve. b. Determine the central angle of the circular curve. С. Determine the offset of the tangent at the end of the spiral.

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

Curve setting

A curve is a turn that is provided horizontally or vertically in the design of highways, railways, and runways. A curve connects two straight lines that are separated by the deflection angle. It helps to change the direction and alignment of the highways, railway tracks, and runways. Therefore, the gradual change in their alignment is made by using a curve to provide comfort to the passengers and this also provides an easy turn to change the direction of the moving vehicle.

Question

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A simple curve having a radius 280m connects two tangents intersecting at an angle of
50°. It is to be replace by another curve having 80m spirals at its ends such that the point of tangency
shall be the same.
а.
Determine the radius of the new circular curve.
b. Determine the central angle of the circular curve.
C.
Determine the offset of the tangent at the end of the spiral.

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