Solved Example of Vertical Curve (Sag Curve): Complete calculations of vertical parabolic curve
📐 Sag (Valley) Curve Setting Out | Vertical Curve Calculation with Solved Example
In this video, we walk you through the complete step-by-step calculations required for setting out a vertical curve, specifically a sag (valley) curve, using the parabolic curve method. This is a crucial topic in highway engineering and surveying, especially for designing smooth and safe road profiles.
We cover everything from grade intersection to elevation calculation of various points on the curve, and finally prepare a table for staking out at regular intervals.
📝 Problem Statement Solved in This Video:
A descending grade of g₁ = -3.629% intersects an ascending grade of g₂ = 0.151% at a vertex with:
📍 Station = 5 + 265.000
📍 Elevation = 350.520 m
An equal-tangent parabolic vertical curve of 240 m is to be used to connect the two tangents.
📊 Task: Compute and tabulate elevations for curve staking at 40-meter intervals.
🎯 What You’ll Learn:
✔️ Basics of vertical curve design
✔️ Sag vs crest curve behavior
✔️ Application of parabolic formula for elevation computation
✔️ Preparing a setting-out table for field staking
✔️ Real-world application in roadway design and construction
💡 Perfect for:
Civil engineering students and diploma holders
GATE, SSC JE, ESE exam aspirants
Highway and transportation engineers
Surveyors involved in route alignment and profile setting
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