Explanation Given: Percentage grade of back tangent of vertical curve g 1 = − 2.5 % Percentage grade of forward tangent of vertical curve g 2 = 1.75 % Horizontal distance in stations from BVC to EVC L = 4 Elevation E l e v v = 3386.96 Concept Used: Equation of an equal tangent vertical parabolic curve. Calculation: To find the rate of change of grade is given by formula, r = g 2 − g 1 L r = 1.75 % − − 2.5 % 4 r = 4.25 % 4 r = 1.0625 % s t a t i o n Stationing V = 44 + 25 − L 2 = 02 + 00 B V C = 42 + 25 + L = 04 + 00 E V C = 46 + 25 E l e v B V C = E l e v V − g 1 L 2 E l e v B V C = 3386.96 − − 2.5 4 2 E l e v B V C = 3391.96 f t Than the elevation for the station 46 + 25.00 is calculated, E l e v = E l e v + g 1 X + r 2 X 2 E l e v = 3391.96 + − 2.50 4 + 1.0625 2 4 2 E l e v = 3390.46 f t Than the elevation for the station 46 + 00.00 is calculated E l e v = E l e v + g 1 X + r 2 X 2 E l e v = 3391.96 + − 2.50 3.75 + 1.0625 2 4 2 E l e v = 3390.05 f t Conclusion: Therefore tabulate station elevations for an equal-tangent parabolic curve and table by second differences. station X X g 1 r 2 x 2 Curve elevation First difference (curve elevation differences) Second difference r 46 + 25

Tabulate station elevations for an equal-tangent parabolic curve and check table by second differences.

Elementary Surveying: An Introduction to Geomatics (15th Edition)

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ISBN: 9780134645964

Author: GHILANI

Publisher: PEARSON

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Tabulate station elevations for an equal-tangent parabolic curve and check table by second differences.

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