Lecture 1 Hard

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Questions and Answers

What is the value of 'M' when calculating for 1625 feet?

  • 0.307 (correct)
  • 0.325
  • 0.303
  • 0.310

The corrected rod reading after accounting for curvature is 10.51'.

False (B)

What is the formula used to calculate 'c' when using the value of 'F'?

c = 0.0239(F)²

The initial reading on the level rod was ___ feet.

<p>10.51</p> Signup and view all the answers

Match the following equations with their corresponding variables:

<p>M = 1625/5280 F = 1625/1000 c = Curvature correction K = Kilometers</p> Signup and view all the answers

What would the value of 'c' be when 'F' equals 1.625?

<p>0.06' (C)</p> Signup and view all the answers

The departure from the horizontal line at 1625 feet is 0.06'.

<p>True (A)</p> Signup and view all the answers

What is the corrected rod reading after making the adjustment?

<p>10.45'</p> Signup and view all the answers

What is the elevation of the Temporary Benchmark (TBM) after running the levels?

<p>1057.13' (D)</p> Signup and view all the answers

It is unnecessary to set multiple Temporary Benchmarks (TBMs) at the job site.

<p>False (B)</p> Signup and view all the answers

What is the formula to find the elevation on the Temporary Benchmark (TP)?

<p>HI - FS</p> Signup and view all the answers

The elevation of the benchmark (BM) is __________.

<p>1049.91'</p> Signup and view all the answers

Match the following components with their meanings:

<p>BM = Benchmark elevation HI = Height of Instrument FS = Foresight reading TBM = Temporary Benchmark</p> Signup and view all the answers

What is the purpose of closing the level loop?

<p>To verify if there is an error in the level readings (C)</p> Signup and view all the answers

What is the purpose of establishing a turning point (TP)?

<p>To provide a reference point for elevation measurements (B)</p> Signup and view all the answers

What is recorded in the BS (+) column of level note keeping?

<p>The backsight rod reading in feet, tenths, and hundredths of a foot.</p> Signup and view all the answers

The foresight (FS) rod reading is taken on an object of known elevation.

<p>False (B)</p> Signup and view all the answers

What is the computed elevation for TP1?

<p>2301.55’</p> Signup and view all the answers

Only the foot part of the backsight rod reading needs to be recorded if it is below 1 foot.

<p>False (B)</p> Signup and view all the answers

Once a suitable turning point is established, the level rod is placed on the ______.

<p>turning point</p> Signup and view all the answers

What should be done if a hard surface cannot be found for the turning point?

<p>Set a railroad spike in the ground (C)</p> Signup and view all the answers

Match the following components with their roles in the leveling process:

<p>HI = Height of instrument FS = Foresight reading TP = Turning Point BM = Benchmark</p> Signup and view all the answers

What is the rod reading on TP1?

<p>7.58’</p> Signup and view all the answers

TP1 elevation is calculated by adding the foresight rod reading to HI-1.

<p>False (B)</p> Signup and view all the answers

What is the computed HI-5 based on the provided BS reading and elevation for TP4?

<p>2317.37’ (A)</p> Signup and view all the answers

The BS reading observed on TP4 is 9.26’.

<p>False (B)</p> Signup and view all the answers

What elevation is associated with TP3?

<p>2316.28’</p> Signup and view all the answers

What was the FS rod reading observed for TP2?

<p>5.81’ (A)</p> Signup and view all the answers

The HI-5 for TP4 is calculated by adding the BS rod reading of ______ to the elevation.

<p>9.59’</p> Signup and view all the answers

The elevation for TP2 was calculated by adding the FS rod reading to HI-2.

<p>False (B)</p> Signup and view all the answers

Match the following terms with their definitions:

<p>BS = Backsight rod reading HI = Height of Instrument FS = Foresight rod reading BM = Benchmark</p> Signup and view all the answers

HI-3 is calculated by adding the BS rod reading to the elevation for TP2, resulting in HI-3 = ____.

<p>2314.42’</p> Signup and view all the answers

Which of the following stations has the lowest corrected elevation?

<p>TP2 (B)</p> Signup and view all the answers

Match the following values to their corresponding terms:

<p>BM A = 2303.45’ TP1 = 2301.55’ TP2 = 2305.16’ HI-3 = 2314.42’</p> Signup and view all the answers

The corrected elevation for TP1 is 2309.13’.

<p>True (A)</p> Signup and view all the answers

What is the BS reading for TP2?

<p>9.42’</p> Signup and view all the answers

What is the elevation for TP2 after calculation?

<p>2305.16’ (D)</p> Signup and view all the answers

The BS rod reading for TP2 was 9.42’.

<p>False (B)</p> Signup and view all the answers

What does the abbreviation FS stand for in leveling?

<p>Foresight</p> Signup and view all the answers

What is the corrected elevation at the point marked as TP1?

<p>2310.97’ (D)</p> Signup and view all the answers

The elevation at the point marked as BM A is lower than the elevation at TP1.

<p>True (A)</p> Signup and view all the answers

What is the elevation listed for TP2?

<p>7.58’</p> Signup and view all the answers

The elevation at BM A is _____ feet.

<p>2309.13</p> Signup and view all the answers

Match the following points with their marked elevations:

<p>TP1 = 2310.97’ TP2 = 7.58’ BM A = 2309.13’ Final Point = 2301.55’</p> Signup and view all the answers

What is the elevation difference between TP1 and the final point?

<p>9.42’ (D)</p> Signup and view all the answers

The rodperson would move backward to set TP2.

<p>False (B)</p> Signup and view all the answers

What is the lowest marked elevation in the provided content?

<p>2301.55’</p> Signup and view all the answers

Flashcards

Curvature Correction (c)

The amount of correction needed for the curvature of the Earth when measuring distances with a level.

Horizontal Distance (HD)

The horizontal distance from the leveling instrument to the point where the level rod is held.

Initial Rod Reading

The initial reading on the level rod before any corrections are applied.

Corrected Rod Reading

The reading on the level rod after the curvature correction is applied.

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Curvature Correction Formula (miles)

A formula used to calculate the curvature correction (c) when the horizontal distance (HD) is expressed in miles.

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Curvature Correction Formula (thousands of feet)

A formula used to calculate the curvature correction (c) when the horizontal distance (HD) is expressed in thousands of feet.

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Curvature Correction Formula (kilometers)

A formula used to calculate the curvature correction (c) when the horizontal distance (HD) is expressed in kilometers.

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Reading the Rod Too High

The level rod is always read too high due to the curvature of the Earth.

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Benchmark (BM)

A known point with a fixed elevation used as a reference point for leveling.

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Height of Instrument (HI)

The elevation of the instrument above the benchmark.

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Backsight (BS)

A reading taken on the leveling rod when the rod is held on a benchmark.

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Foresight (FS)

The reading taken on the leveling rod when the rod is held on a point whose elevation is to be determined.

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Temporary Benchmark (TBM)

A temporary benchmark established near the job site.

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Closing the Level Loop

The process of running levels from a known benchmark to a job site and then back to the benchmark.

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Elevation Difference

The difference in elevation between two points.

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Differential Leveling

A method of determining elevations by reading the leveling rod at various points.

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Turning Point (TP)

A point of known elevation used as a reference for leveling measurements.

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Elevation of a point

The elevation of a point calculated by subtracting the FS from the HI.

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Setting TP2

Rodperson moves forward to a new point and sets up the level rod.

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Level

The instrument used in leveling to determine the difference in elevation between points.

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Leveling

The process of using a level to determine the elevation of a point on the ground.

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Elevation

The elevation of a point on the ground with respect to a reference datum, often mean sea level.

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Instrument Height (HI)

Instrument height (HI) is the elevation of the line of sight of the level. It is calculated by adding the backsight (BS) reading to the elevation of the previous point. HI = BS + Elevation of previous point.

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Calculating Elevation

The elevation of a point is calculated by subtracting the foresight reading from the instrument height (HI). Elevation = HI - FS.

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Moving the Level

The process of moving the leveling instrument to a new location, setting up and leveling it again, and then taking a backsight reading on the previous point.

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HI (Height of Instrument)

The elevation of the leveling instrument above the datum.

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Level Rod

A device used to measure vertical distances in leveling.

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Interpolated Elevation (IFS)

The elevation calculated from the HI and the rod reading. It's the elevation of a point.

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Study Notes

Leveling - Theory, Methods, and Equipment

  • Leveling is the process of determining elevations of points or differences in elevation.
  • Essential for mapping, engineering design, and construction.
  • Used for: designing highways, railroads, canals, sewers; calculating earthwork volumes; and studying land movement.
  • Vertical line follows the local direction of gravity (plumb line).
  • Level surfaces are curved, approximately spheroidal.
  • Bodies of still water approximate level surfaces.
  • Level lines are within level surfaces (curved).
  • Horizontal plane is perpendicular to the vertical line.
  • Horizontal lines are within horizontal planes.
  • Vertical datum is a reference level surface (e.g., mean sea level).
  • Elevation is the vertical distance from the vertical datum to a point.
  • Elevation/height is measured relative to the datum.

Curvature and Refraction

  • The Earth is curved, causing horizontal lines to deviate from level lines.
  • Refraction (bending of light rays in the atmosphere) further affects the level lines.
  • Curvature and refraction corrections need to be considered in leveling calculations.
  • Corrections are based on the horizontal distance between the instrument and the rod.
  • These corrections are subtracted from initial measurements to get corrected values.

Differential Leveling

  • Process of finding elevation differences.
  • Involves successive backsight and foresight observations.
  • Benchmarks are used as reference points.
  • Rod readings (BS, FS) are taken using a level instrument.
  • Instrument height (HI) is calculated.
  • Elevations are calculated by adding or subtracting rod readings from the instrument height.

Datums

  • NGVD29: A past North American vertical datum, based on mean sea level.
  • NAVD88: The current North American vertical datum, using a single benchmark.
  • Key Differences: NGVD29 is based on the average of tidal measurements across many sites whereas NAVD88 was adjusted to encompass additional measurements.

Level Rods and Readings

  • Fiber glass level rods with marked lines for precise readings.
  • Red numbers indicate feet; black numbers indicate tenths of a foot; and black lines indicate hundredths of a foot.
  • Backsights are on known points; foresights are on unknown points.

Benchmarking

  • Permanent physical markers, often set in concrete, whose elevation is known.
  • Establishing a network of benchmarks provides a reference system for leveling.

Methods and Procedures

  • Clear procedures are necessary for recording and calculating elevations correctly.
  • Backsight plus elevation equals height of instrument (HI).
  • HI minus foresight equal elevation or elevation plus foresight equals height of instrument (HI).
  • Differential leveling involves measuring elevations relative to known points using an instrument for successive measurements

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