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(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
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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(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 =
Transcribed Image Text:(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 =
8) Tangent grade-line computations are entered in the following Table: Tangent Offsets (X/0.5L)² x d Tangent Elevations Elevation Station (g1X) (on the Curve) BVC ( PVI ( Low Point EVC (
Transcribed Image Text:8) Tangent grade-line computations are entered in the following Table: Tangent Offsets (X/0.5L)² x d Tangent Elevations Elevation Station (g1X) (on the Curve) BVC ( PVI ( Low Point EVC (
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