A grade line AB having a slope of +5% intersect another grade line BC having a slope of -3% at B. The elevations of points A, B and C are 95 m, 100 m and 97 m respectively. Determine the elevation of the summit of the 100 m parabolic vertical curve to connect the grade lines.

A grade line AB having a slope of +5% intersect another grade line BC having a slope of -3% at B. The elevations of points A, B and C are 95 m, 100 m and 97 m respectively. Determine the elevation of the summit of the 100 m parabolic vertical curve to connect the grade lines.

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

2. Solve the problem using the equations of a parabola (y=Ax2+Bx+C)

please show complete formula and draw a diagram if needed

A grade line AB having a slope of +5% intersect another grade line BC having a
slope of -3% at B. The elevations of points A, B and C are 95 m, 100 m and 97 m
respectively. Determine the elevation of the summit of the 100 m parabolic vertical
curve to connect the grade lines.

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