Introduction to Surveying
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Questions and Answers

Which instrument was designed for leveling work and consisted of a horizontal beam with a plumb line suspended from its center?

  • Semicircumferentor
  • Chorobates (correct)
  • Dioptra
  • Libella
  • What was the primary function of the Vernier?

  • Measuring angles in surveying
  • Leveling and aligning points
  • Determining direction using magnetism
  • Increasing the precision of measurements on a graduated scale (correct)
  • Which instrument was perfected by Heron of Alexandria and was used for leveling and sighting?

  • Transit
  • Plane table
  • Dioptra (correct)
  • Groma
  • What is the SI unit for plane angles?

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

    What is the prefix for 1000 in the metric system?

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

    Which of the following is NOT a type of surveying measurement?

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

    What is the primary difference between direct and indirect measurement in surveying?

    <p>Direct measurement uses a physical standard, while indirect measurement relies on calculations. (A)</p> Signup and view all the answers

    What was the purpose of the Roman Groma?

    <p>Aligning points (D)</p> Signup and view all the answers

    What is the formula for calculating the residual in a measurement?

    <p>v = x - x (A)</p> Signup and view all the answers

    What is the formula for calculating the probable error of the mean?

    <p>PE<del>m</del> = + 0.6745 √(Σv^2^ / n(n - 1)) (D)</p> Signup and view all the answers

    What is the formula for calculating the relative precision of a single measurement?

    <p>RP<del>s</del> = PE<del>s</del> / x (C)</p> Signup and view all the answers

    What is the function of the rear tape man in a taping party?

    <p>To assist the head tape man during a taping operation. (A)</p> Signup and view all the answers

    Which of the following is an indirect method of distance measurement?

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

    What is the meaning of "stride" in pacing?

    <p>Equivalent to two paces or a double step. (D)</p> Signup and view all the answers

    Which of the following is NOT a method for measuring horizontal distances?

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

    What is the difference between a pedometer and a passometer?

    <p>A pedometer is handheld, while a passometer is strapped to the leg. (C)</p> Signup and view all the answers

    What is the signal used to indicate the rod should be faced towards the line of sight?

    <p>Raising both arms above the head and twisting both hands back and forth. (C)</p> Signup and view all the answers

    Which of the following is NOT a common mistake in leveling?

    <p>Using the wrong type of leveling instrument. (A)</p> Signup and view all the answers

    What signal does the instrumentman use to indicate a turning point has been established?

    <p>The arm is swung slowly in a circle above the end. (D)</p> Signup and view all the answers

    What is the signal used to tell the rodman to reverse the rod?

    <p>Extending the arms above the head and slowly rotating both arms in a circular motion towards one side of the body. (D)</p> Signup and view all the answers

    Which of the following is NOT a source of error in leveling related to the instrument?

    <p>Atmospheric refraction. (C)</p> Signup and view all the answers

    Which signal is used to indicate that a surveyor should come in or assemble?

    <p>Moving the arm in a circular motion starting from below the waist to the front of the face. (D)</p> Signup and view all the answers

    Which of the following is NOT a source of error in leveling related to the rod?

    <p>Unequal backsight and foresight distances. (B)</p> Signup and view all the answers

    What is the signal used to tell the rodman to raise or lower the target?

    <p>Raising the arm above the shoulder to raise the rod or dropping the arm below the waist to lower the rod. (D)</p> Signup and view all the answers

    What type of survey is conducted for the purpose of planning expansions in a city?

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

    Which type of survey is used to determine the position of underground workings?

    <p>Mine Surveys (C)</p> Signup and view all the answers

    Which of these instruments is credited to Lippershey?

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

    Which type of survey is most closely related to measuring the flow of streams?

    <p>Hydrographic Surveys (C)</p> Signup and view all the answers

    What is the main purpose of a Topographic Survey?

    <p>Determining the shape of the ground (B)</p> Signup and view all the answers

    Which of these is NOT a type of survey mentioned in the provided text?

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

    What is the main difference between Plane Surveying and other types of surveying?

    <p>Plane Surveying considers the earth as a flat surface (C)</p> Signup and view all the answers

    What is the primary function of Cadastral surveys?

    <p>Defining property boundaries and ownership (D)</p> Signup and view all the answers

    What is the role of a backsight (BS) in differential leveling?

    <p>To take a reading on a point of known elevation (B)</p> Signup and view all the answers

    What does 'vertical exaggeration' refer to in profile leveling?

    <p>Making the vertical scale larger than the horizontal scale (B)</p> Signup and view all the answers

    In the context of trigonometric leveling, how is the vertical distance (VD) calculated?

    <p>VD = Dtanα (B)</p> Signup and view all the answers

    What is a benchmark (BM) in leveling operations?

    <p>A point whose elevation is either known or assumed (B)</p> Signup and view all the answers

    Which of the following statements about profile leveling is inaccurate?

    <p>Full stations are points established at irregular distances. (A)</p> Signup and view all the answers

    What determines the direction of a line in surveying?

    <p>The horizontal angle it makes with a fixed reference line (C)</p> Signup and view all the answers

    What is indicated by the formula $h = 0.0675K^2$ in relation to refraction?

    <p>The departure of a telescope line of sight from a level line (A)</p> Signup and view all the answers

    What is the formula for correcting the measured length when using a tape that is too long?

    <p>Corr = (TL - NL) * (ML / NL) (A)</p> Signup and view all the answers

    What is the formula for calculating the correction due to slope for gentle slopes (less than 20%)?

    <p>C<del>h</del> = h / 2s (C)</p> Signup and view all the answers

    What is the coefficient of thermal expansion for steel used in the correction due to temperature formula?

    <p>11.6 x 10^-6^ / ^o^C (D)</p> Signup and view all the answers

    What is the formula for calculating the correction due to tension?

    <p>C<del>p</del> = (P<del>a</del> -- P<del>s</del>) / AE (C)</p> Signup and view all the answers

    What is the formula for calculating the correction due to sag?

    <p>C<del>s</del> = ω^2^ L^3^ / 24P^2^ (A)</p> Signup and view all the answers

    Which of the following methods is used for erecting a perpendicular to a line using a tape?

    <p>Chord-bisection method (B)</p> Signup and view all the answers

    According to the provided text, how is the horizontal distance calculated in a slope measurement?

    <p>d = s - C<del>h</del> (D)</p> Signup and view all the answers

    What is the primary purpose of leveling methods in surveying?

    <p>To determine the difference in elevation between two points (A)</p> Signup and view all the answers

    Flashcards

    Surveying

    Art and science of measuring and determining positions on earth.

    Plane Surveying

    Type of surveying treating the earth as a flat surface.

    Cadastral Surveys

    Surveys that determine property boundaries in urban/rural areas.

    Construction Surveys

    Surveys providing data for building projects.

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    Hydrographic Surveys

    Surveys of bodies of water to map and measure them.

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    Photogrammetric Surveys

    Surveys that utilize photographs for measurements.

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    Astrolabe

    An ancient instrument used for measuring angles.

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    Telescope

    An optical instrument to observe distant objects.

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    Transit

    A surveying instrument invented by Young and Draper.

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    Semicircumferentor

    An early instrument used to measure and layout angles.

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    Dioptra

    A leveling instrument perfected by Heron of Alexandria.

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    Gunter's Chain

    A measuring chain invented by Sir Edmund Gunter in 1620.

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    Direct measurement

    Comparing a measured quantity with a standard unit.

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    Meter

    The international standard unit of linear measurement.

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    Radian

    A unit for plane angles; arc length equals circle radius.

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    Significant figures

    Digits in a number that contribute to its precision.

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    Breaking tape

    Holding the tape horizontally above ground during measurement.

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    Correction due to incorrect tape length

    Adjustments made when tape is too long or short for accuracy.

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    Correction due to slope

    Corrections applied to measurements on sloping terrain.

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    Ct formula

    Ct = kL(to - ts) for temperature corrections.

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    Coefficient of thermal expansion

    k = 11.6 x 10^-6 / °C for steel tape adjustments.

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    Correction due to tension

    Cp = (Pa - Ps) / AE for pull adjustments.

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    Correction due to sag

    Cs = W^2 L^3 / 24P^2 for wire sag adjustments.

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    Erecting perpendicular lines

    Methods like chord-bisection and 3:4:5 for accuracy.

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    Residual

    The difference between a measured value and its most probable value.

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    Probable Error (PE)

    A quantity added to and subtracted from the most probable value indicating measurement uncertainty.

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    Relative Error

    Expresses error magnitude as a fraction of the measured value.

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    Pacing

    Counting the number of steps in a required distance.

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    Pedometer

    A mechanical counter for registering the number of paces.

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    Tachymetry

    An indirect distance measuring method using optical geometry.

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    Head Tape Man

    Person responsible for accuracy and speed in linear measurements.

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    Optical Rangefinder

    Device used to determine distances by focusing optics.

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    Two-Peg Test

    A method to determine leveling accuracy using two points and measurements.

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    Curvature and Refraction

    Considerations in surveying for the curve of the earth and light bending.

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    Bench mark (BM)

    A fixed reference point with a known or assumed elevation.

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    Backsight (BS)

    A rod reading taken on a known elevation point for leveling.

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    Foresight (FS)

    A rod reading taken on a point whose elevation is to be determined.

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    Turning Point (TP)

    An intermediate point for taking rod readings in leveling.

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    Profile Leveling

    A technique illustrating elevation changes along a proposed route.

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    Vertical Exaggeration

    A method of enlarging vertical scale in profile drawings for clarity.

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    Raise (or lower) target

    Motion to adjust the position of the leveling rod or target by raising or lowering the arm.

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    Come in (signal)

    A signal for survey members to assemble, indicated by circular arm motions.

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    Plumb the rod

    Extending the hand vertically to align the rod in the desired direction.

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    Establish a turning point

    Swinging the arm in a circle above the end to mark a turning point.

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    This is a turning point

    Raising the rod overhead to identify a turning point before positioning it vertically.

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    Wave the rod

    Holding the arm above the head and waving it back and forth to signal others.

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    Face the rod

    Directing the rodman to align the rod with the line of sight using arm movements.

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    Reverse the rod

    Command for the rodman to turn the rod by rotating arms in a circular motion.

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    Study Notes

    Introduction to Surveying

    • Surveying is the art and science of determining angular and linear measurements to establish the form, extent, and relative position of points, lines, and areas on or near the earth's surface.

    Two General Classifications of Surveying

    • Plane surveying: Assumes the Earth is flat, used for limited distances and areas.
    • Geodetic surveying: Considers the Earth's spheroidal shape, used for large areas.

    Types of Surveys

    • Cadastral surveys: Determine property lines and boundaries in urban and rural areas.
    • City surveys: Surveys of urban areas for planning, expansions, improvements, and map preparation.
    • Construction surveys: Provide data for construction projects, including grades, reference lines, dimensions, and building locations.
    • Forestry surveys: Data for forest management, including grades, and mensuration.
    • Hydrographic surveys: Surveying bodies of water, including mapping shorelines, charting shapes of areas underwater, and measuring stream flow, important for navigation, water resource development, flood control, and recreation.
    • Industrial surveys: Applying surveying techniques to industries to accurately measure and layout machines, shipbuilding, and aircraft assembly.
    • Mine surveys: Determine underground mine excavations, surface structures, boundaries of mining claims, calculate excavated volumes, establishing lines and grades for mining projects.
    • Photogrammetric surveys: Utilize photographs from aircraft or ground stations for mapping and measurements.
    • Route surveys: Used for highways, railways, pipelines, canals, transmission lines for planning, design, and construction.
    • Topographic surveys: Determine the shape of the ground and locations of natural and artificial features.

    Development of Surveying Instruments

    • Astrolabe: An early measuring instrument.
    • Telescope: Used for astronomical observations.
    • Transit: Used to measure and lay off angles, and establish lines of sight.
    • Semicircumferentor: An early surveying instrument used for angle measurement.
    • Plane table: A board attached to a tripod for leveling and measuring horizontal and vertical angles.
    • Dioptra: An instrument for leveling and measuring angles, perfected by Heron.
    • Roman Groma: An instrument used for aligning points.
    • Libella: An instrument used to determine the horizontal plane.
    • Vernier: An auxiliary scale for precise measurement of fractional parts of a main scale.
    • Diopter: Another instrument for leveling and measuring angles.
    • Compass: Used for determining directions and angles.
    • Gunter's Chain: Early instrument for measuring distances.
    • Chorobates: Instrument used for leveling work.
    • Merchet: A device for time and meridian measurement.

    Units of Measurements

    • SI units for plane angles is the radian.
    • Prefixes like kilo, mega, centi, milli, micro and nano are used to denote multiples or sub-multiples of units.

    Significant Figures

    • Rules for determining significant figures, including zeroes.

    Types of Errors

    • Systematic error: Errors consistently having the same sign and magnitude.
    • Accidental error: Errors from external factors.
    • Mistakes: Errors due to carelessness and poor judgment.
    • Blunders: Large mistakes.

    Sources of Errors in Surveying

    • Instrument Errors: Errors arising (or introduced) from imperfections in instruments.
    • Natural Errors: Errors from Natural phenomena like refraction, temperature, etc...
    • Personal Errors: Errors caused by human limitations in observation, measurement, or execution.

    Surveying Measurements

    • Direct measurement: Comparison of measured quantity to a standard unit.
    • Indirect measurement: Measuring a quantity by its relation to other known quantities.

    Measurement of Horizontal Distances

    • Pacing: Counting the number of steps (paces) for distance.
    • Pace factor: Calculating the distance of one pace.
    • Pedometer: A mechanical counter for paces.
    • Passometer: A mechanical counter that counts paces strapped to the leg.

    Measurement of Vertical Distances

    • Direct or spirit leveling: Determining elevations of points by a series of leveling instrument setups.
    • Reciprocal leveling: Establishing elevation differences between points that are far apart.
    • Profile leveling: Obtaining elevations at specified intervals along a line.
    • Trigonometric leveling: Calculating elevations using trigonometric relationships and measurements .
    • Stadia leveling: Combining direct and trigonometric leveling for preliminary surveys or rough leveling.
    • Barometric leveling: Determining elevations by measuring atmospheric pressure variations.
    • Cross-section leveling: Creating short profile views (cross-sections) at regular intervals.
    • Borrow-pit leveling: Determining relative elevations in excavation areas for calculating earthwork volumes.

    Types of Levels

    • Dumpy level: Widely used direct leveling instrument.
    • Wye level: A leveling instrument with detachable telescopes.
    • Builder's level: Used for building construction when precise measurement isn't required.
    • Automatic level: Popular for conventional leveling work due to ease and speed of operation.

    Measurement of Angles and Directions

    • True meridian: Geographic north-south direction.
    • Magnetic meridian: Direction given by freely suspended magnetic needle.
    • Grid meridian: Reference direction aligned parallel with rectangular coordinates used in plane surveying.
    • Assumed meridian: An arbitrarily selected reference line.

    Units of Angular Measurement

    • Degree: A unit in the sexagesimal system; a circle is divided into 360 degrees.
    • Grad: A unit in the centesimal system; a circle is divided into 400 grads.
    • Mil: A unit commonly used for military applications.
    • Radian: One radian is equal to 180°/π, approximately 57.296 degrees.

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