Road Curves & Alignment Complete

Formula sheet, full theory and setting-out examples for simple circular curves.

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About this course

Everything you need to design and peg a simple circular curve. Begin with the formula sheet and its derivations, work through 30 pages of curve theory — designation, geometry, linear and angular setting-out methods including Rankine's method — then practise on complete setting-out tables with real chainages and offsets.

Arc and chord definitions of degree of curvature
Linear and angular setting-out methods, including Rankine's
Full setting-out tables for small- and large-radius curves

Syllabus

3 documents · 51 pages · English

01
Circular Curve Formula Sheet
PDF · 3 pages
- Curve elements: R, T, Δ, M, E, PC, PT, PI and Dc
- Derivation of the tangent length T = R tan(Δ/2)
- Derivation of the middle ordinate M = R(1 − cos Δ/2)
- External distance and degree of curvature
02
Simple Circular Curves
PDF · 30 pages
- Types of curves
- Designation by arc and chord definitions (R = 1145.92 / D)
- Circular curve geometry
- Linear setting-out: long-chord offsets, successive bisection, tangent offsets
- Angular setting-out: Rankine's method, two-theodolite and tacheometric methods
03
Circular Curves · Setting-Out Worked Examples
PDF · 18 pages
- Tangent length, arc length and chainages of T1 and T2
- Offsets from the tangent line
- Complete setting-out tables at regular peg intervals
- Small- and large-radius examples