Surveying and Geomatics | 1. Examples and Solutions by Abraham | Learn Smarter
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1. Examples and Solutions

The chapter delves into the principles and applications of various surveying techniques, including the computation of areas and volumes, and the use of different instruments like the tacheometer. It emphasizes the importance of accurate measurements and calculations in civil engineering projects and elaborates on the methodologies for determining the reduced levels of various terrains. Furthermore, the chapter discusses common errors in surveying and their implications.

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Sections

  • 1

    Examples And Solutions

    This section presents various examples and solutions related to surveying techniques, area calculations, and tacheometry.

    Learning Practice

  • 1.1

    Example 1.19: Area Calculation Using Trapezoidal And Simpson’s Rule

    This section explains how to compute the area between a chain line and an irregular boundary using Trapezoidal and Simpson’s rules.

    Learning Practice

  • 1.2

    Example 1.20: Volume Calculation For An Embankment

    Learning

  • 1.3

    Example 1.21: Volume Calculation Between Contours

    This section covers the calculation of volume between contour lines using the trapezoidal method.

    Learning Practice

  • 1.4

    Example 1.22: Calculation Of Tacheometric Constants

    This section discusses the calculation of tacheometric constants using stadia readings and horizontal distances, highlighting important equations used in tacheometry.

    Learning Practice

  • 1.5

    Example 1.23: Horizontal Distance And Rl Calculation

    This section covers the calculation of horizontal distance (D) and the reduced level (RL) of point Q using tacheometric observations.

    Learning Practice

  • 1.6

    Example 1.24: Horizontal Distance And Rl Calculation With Tacheometer

    This section discusses the use of a tacheometer for calculating horizontal distance and reduced level (RL) using angular measurements from a vertical staff.

    Learning Practice

  • 1.7

    Example 1.25: Gradient Calculation Between Points

    This section discusses the method of calculating the gradient between two points using observations from a tacheometer, illustrating the calculations required for determining horizontal and vertical distances.

    Learning Practice

  • 1.8

    Example 1.26: Horizontal Distance And Elevation Calculation

    This section discusses methods for calculating horizontal distances and elevation using a tacheometer.

    Learning Practice

  • 1.9

    Example 1.27: Height Calculation Of A Lighthouse

    This section presents a problem related to calculating the height of a lighthouse based on the angles of depression observed from its top.

    Learning Practice

  • 1.10

    Example 1.28: R.l. Calculation Of The Staff Station

    This section discusses the calculation of Reduced Levels (R.L.) using angle of depression and distance.

    Learning Practice

  • 1.11

    Example 1.29: Elevation Measurement On A Hill

    Learning

  • 1.12

    Example 1.30: Height Of A Shorter Pole Calculation

    Learning

  • 1.13

    Example 1.31: Correct Latitudes And Departures In Traverse

    Learning

  • 1.14

    Example 1.32: Balancing Traverse Using Bowditch And Transit Method

    Learning

  • 1.15

    Example 1.33: Length And Bearing Of Missing Traverse Leg

    This section outlines the methods for determining the length and bearing of a missing leg in a traverse based on existing data.

    Learning Practice

  • 1.16

    Example 1.34: Missing Data In A Closed Traverse

    Learning

  • 2

    Exercises For Practice

    This section contains various exercises focused on practical surveying problems and their solutions.

    Learning Practice

  • 2.1

    Short Questions

    This section presents a series of short questions that cover fundamental surveying principles, calculations, and methods.

    Learning Practice

  • 2.2

    Long Questions

    This section presents examples of long mathematical questions related to surveying techniques and their solutions using various methods.

    Learning Practice

  • 2.3

    Unsolved Examples

    This section explores various unsolved examples focusing on key surveying concepts, including area computations and tacheometry.

    Learning Practice

  • 3

    References And Suggested Readings

    This section provides a comprehensive list of references and suggested readings related to surveying and geomatics.

    Learning Practice

References

1i.pdf

Class Notes

Memorization

What we have learnt

  • The fundamentals of surveyi...
  • Methods to calculate areas ...
  • The significance of precise...

Final Test

Revision Tests