Surveying and Geomatics | 2. Linear methods of setting out curves by Abraham | Learn Smarter
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2. Linear methods of setting out curves

The chapter discusses methods for setting out simple circular curves, including linear methods like ordinates from the long chord, successive bisections of arcs, offsets from tangents, and chords produced. It also covers angular methods like Rankine's method of tangential angles and the two theodolite method. Additionally, compound and reverse curves, their elements, and procedures for setting them out, alongside transition curves and the concept of super-elevation, are explored.

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Sections

  • 1

    Linear Methods Of Setting Out Curves

    This section covers the linear methods used to set out simple circular curves in construction, focusing on four key techniques.

    Learning Practice

  • 1.1

    By Ordinates From The Long Chord

    This section describes the method of setting out curves by ordinates from the long chord, emphasizing the calculations and steps involved.

    Learning Practice

  • 1.2

    By Successive Bisections Of Arcs

    This section discusses the linear methods of setting out circular curves, particularly the method of successive bisections of arcs.

    Learning Practice

  • 1.3

    By Offsets From The Tangents

    This section discusses methods for setting out circular curves using offset measurements from tangents.

    Learning Practice

  • 1.3.1

    By Radial Offsets

    This section explains linear methods of setting out simple circular curves using radial offsets, focusing on calculations and procedures.

    Learning Practice

  • 1.3.2

    By Offsets Perpendicular To The Tangents

    This section discusses the method of setting out curves using offsets that are perpendicular to the tangents, explaining both exact and approximate approaches.

    Learning Practice

  • 1.4

    By Offsets From Chords Produced

    This section details the method of setting out curves using offsets from chords produced, highlighting the steps, formulas, and significance in practical applications.

    Learning Practice

  • 2

    Angular Methods Of Setting Out Curves

    Angular methods provide techniques for setting out circular curves using instruments and calculating angular measurements.

    Learning Practice

  • 2.1

    Rankine’s Method Of Tangential Angles

    Rankine's method of tangential angles involves setting out curves using tangential or deflection angles calculated through theodolite measurements.

    Learning Practice

  • 2.2

    Two Theodolites Method

    The Two Theodolites Method is an angular method used in civil engineering for setting out curves where distance measurement by tape is difficult.

    Learning Practice

  • 2.4

    Compound Curves

    This section introduces compound curves, which consist of two circular arcs of different radii that are tangential to three straight lines.

    Learning Practice

  • 2.4.1

    Elements Of A Compound Curve

    This section explores the key elements and characteristics of compound curves in geometry, emphasizing their structure and calculation methods.

    Learning Practice

  • 2.4.2

    Setting Out The Compound Curve

    This section discusses how to set out compound curves using various methods, including deflection angles and chainages.

    Learning Practice

  • 2.5

    Reverse Curves

    This section discusses reverse curves, including their definition, applications, and the challenges they present in road and railway design.

    Learning Practice

  • 2.5.1

    Elements Of A Reverse Curve

    This section details the key elements and calculations involved in designing reverse curves, including definitions and geometric relationships pertinent to their construction.

    Learning Practice

  • 2.6

    Transition Curves

    Transition curves are non-circular curves designed to provide a smooth change from straight to curved path, essential for vehicle comfort and safety.

    Learning Practice

  • 2.6.1

    Super-Elevation Or Cant

    Super-elevation, or cant, refers to the elevation of the outer edge of a curve in road construction to counteract centrifugal force acting on vehicles.

    Learning Practice

References

2b.pdf

Class Notes

Memorization

What we have learnt

  • Various linear and angular ...
  • Compound curves involve two...
  • Super-elevation is necessar...

Final Test

Revision Tests