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

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.

22 sections

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Sections

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  1. 1
    Examples And Solutions

    This section presents various examples and solutions related to surveying...

  2. 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...

  3. 1.2
    Example 1.20: Volume Calculation For An Embankment
  4. 1.3
    Example 1.21: Volume Calculation Between Contours

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

  5. 1.4
    Example 1.22: Calculation Of Tacheometric Constants

    This section discusses the calculation of tacheometric constants using...

  6. 1.5
    Example 1.23: Horizontal Distance And Rl Calculation

    This section covers the calculation of horizontal distance (D) and the...

  7. 1.6
    Example 1.24: Horizontal Distance And Rl Calculation With Tacheometer

    This section discusses the use of a tacheometer for calculating horizontal...

  8. 1.7
    Example 1.25: Gradient Calculation Between Points

    This section discusses the method of calculating the gradient between two...

  9. 1.8
    Example 1.26: Horizontal Distance And Elevation Calculation

    This section discusses methods for calculating horizontal distances and...

  10. 1.9
    Example 1.27: Height Calculation Of A Lighthouse

    This section presents a problem related to calculating the height of a...

  11. 1.10
    Example 1.28: R.l. Calculation Of The Staff Station

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

  12. 1.11
    Example 1.29: Elevation Measurement On A Hill
  13. 1.12
    Example 1.30: Height Of A Shorter Pole Calculation
  14. 1.13
    Example 1.31: Correct Latitudes And Departures In Traverse
  15. 1.14
    Example 1.32: Balancing Traverse Using Bowditch And Transit Method
  16. 1.15
    Example 1.33: Length And Bearing Of Missing Traverse Leg

    This section outlines the methods for determining the length and bearing of...

  17. 1.16
    Example 1.34: Missing Data In A Closed Traverse
  18. 2
    Exercises For Practice

    This section contains various exercises focused on practical surveying...

  19. 2.1
    Short Questions

    This section presents a series of short questions that cover fundamental...

  20. 2.2
    Long Questions

    This section presents examples of long mathematical questions related to...

  21. 2.3
    Unsolved Examples

    This section explores various unsolved examples focusing on key surveying...

  22. 3
    References And Suggested Readings

    This section provides a comprehensive list of references and suggested...

What we have learnt

  • The fundamentals of surveying techniques and their application in practical scenarios.
  • Methods to calculate areas and volumes using various equations.
  • The significance of precise measurements in engineering projects.

Key Concepts

-- Trapezoidal Rule
A numerical integration technique used to estimate the area under a curve by approximating it with trapezoids.
-- Simpson’s Rule
Another numerical integration method which provides a more accurate estimate of the area under a curve using parabolic segments.
-- Surveying
The science of measuring distances and angles on the Earth's surface to determine land boundaries and create maps.
-- Tacheometry
A surveying technique that enables the measurement of distances indirectly by using a tacheometer.
-- Contour
A line on a map connecting points of equal elevation, showcasing the terrain's slope and shape.

Additional Learning Materials

Supplementary resources to enhance your learning experience.