(Computing a Vertical Curve) Initial Data: L = 80m, g1 = - 4.5%, g2 = + 3.2%, PVI at 4 + 60 with Elevation = 130.832m Calculate (fill in the blanks) The Algebraic sum of the gradient lines (A) the Locations of BVC, EVC and Low Point Stations, Elevations, Midchord, Tangent offset at PVI (d) Midchord, as well as Tangent Elevations, Tangent Offsets and Elevations on the Curve for all even stations including BVC, PVI, Low point and EVC. Results: 1) A = 2) BVC at ( EVC at ( EVC - BVC = L; check! 3) BVC Elevation = EVC Elevation = Formula: (g1X) 5) Location of the Low Point is calculated using Equation: Low Point at ( ) from BVC Formula:X = -g1L/A 6) Midchord elevation = BVC Elevation+EVC Elevation Formula: 7) Tangent offset at PVI (d) = %3D Difference in Elevation between PVI and Midchord Formula: d = 2

(Computing a Vertical Curve) Initial Data: L = 80m, g1 = - 4.5%, g2 = + 3.2%, PVI at 4 + 60 with Elevation = 130.832m Calculate (fill in the blanks) The Algebraic sum of the gradient lines (A) the Locations of BVC, EVC and Low Point Stations, Elevations, Midchord, Tangent offset at PVI (d) Midchord, as well as Tangent Elevations, Tangent Offsets and Elevations on the Curve for all even stations including BVC, PVI, Low point and EVC. Results: 1) A = 2) BVC at ( EVC at ( EVC - BVC = L; check! 3) BVC Elevation = EVC Elevation = Formula: (g1X) 5) Location of the Low Point is calculated using Equation: Low Point at ( ) from BVC Formula:X = -g1L/A 6) Midchord elevation = BVC Elevation+EVC Elevation Formula: 7) Tangent offset at PVI (d) = %3D Difference in Elevation between PVI and Midchord Formula: d = 2

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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