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newSchoolWorks.com › VoTechWorks › Technology & Design › GIS / Surveying / Drone Operations › Total Station Surveying › Lesson 8
TEC-GIS45-04 · Lesson 8 · 18 clock hours · field

Traverse Design, Layout, and Field Observations

Objective. Students design a closed-loop traverse of at least five stations enclosing a defined area, occupy each station, and record all angles and distances needed for a complete closure calculation.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by an industry-certified professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Traverse Design, Layout, and Field Observations

A traverse is a series of connected lines whose lengths and directions are measured in the field. When the last line returns to the starting point the traverse is closed-loop (or closed-polygon). Closed-loop traverses are the backbone of control surveys because they allow you to check your own work mathematically before you leave the site.

Planning the Traverse Network

Before you pick up the total station, spend time on reconnaissance. Walk the area and identify five or more hub locations that satisfy three rules:

1. Intervisibility — you must be able to sight from any station directly to its two neighbors without obstruction.

2. Geometry — avoid very acute interior angles (less than about 30°); poorly shaped figures amplify errors.

3. Stability — hubs should be on firm, undisturbed ground away from foot traffic and vehicle paths.

Once you have chosen the locations, pace the distances between adjacent hubs and sketch the network in your field book. Label each hub (A, B, C, D, E for a five-station loop) and record your paced estimates. These estimates are your first check: if a measured distance later differs from your pace by more than 10 %, look for a blunder.

Setting Hubs and Flagging

Drive a wooden hub flush with the ground surface or just proud enough to accept a tack on top. A tack or fine pencil mark on the hub top defines the exact point. Flag each hub with a visible stake and surveyor's flagging so the rod person and instrument operator can find it quickly. Clear any tall grass or brush in the line of sight between adjacent stations.

Occupying Each Station — The Booking Routine

Set up the total station over the hub using the optical or laser plumb and level the instrument carefully. The centering error at setup is a systematic error that cannot be removed in post-processing, so take the time to center precisely — typically within 1–2 mm of the hub mark.

For each station follow this sequence:

1. Backsight the previous station. Set the horizontal circle to zero (or to any convenient reference value) on the backsight.

2. Measure the interior angle by direct and reverse face:

3. Measure slope distance to the foresight hub. Record the slope distance and the vertical angle so you can later reduce to horizontal distance.

4. Record the instrument height (HI) and reflector height (HR) for every setup — these are required for elevation calculations even if today's task is planimetric.

Enter every value in the traverse booking form at the time of observation, in pencil, with no erasures. If you make an error, draw a single line through it and write the correct value beside it.

Computing Angular Misclosure in the Field

For a closed polygon, the theoretical sum of interior angles is:

> (n − 2) × 180°

where n is the number of sides (stations). For five stations: (5 − 2) × 180° = 540°.

After completing the loop, add up your averaged interior angles. The difference between your sum and the theoretical value is the angular misclosure.

Acceptable misclosure depends on instrument class and project specification. A common rule of thumb for a 5-second theodolite or total station on a control traverse is:

> Tolerance = ±(instrument least count) × √n

For a 5" instrument with five stations: ±5" × √5 ≈ ±11". Always check the project specification, which takes precedence. If misclosure exceeds tolerance, re-observe the suspect station before leaving — re-mobilizing to the site costs far more than a few extra minutes on site.

Safety on the Survey Site

Key terms8

Closed-loop traverseA traverse that begins and ends at the same point, allowing angular and linear misclosure to be computed as an internal check.
Interior angleThe angle measured inside the polygon at each traverse station, between the lines to the preceding and following stations.
Angular misclosureThe difference between the measured sum of interior angles and the theoretical sum [(n − 2) × 180°] for a closed polygon.
Face Left / Face Right (Direct / Reverse)Two telescope positions 180° apart used to observe the same angle; averaging the two readings cancels systematic instrumental errors such as collimation error.
Hub and tackA wooden stake driven into the ground with a nail or tack on top that defines the precise survey point over which the instrument is centered.
IntervisibilityThe condition in which an unobstructed line of sight exists between two survey stations, required for both angle and distance measurement.
Slope distanceThe straight-line distance measured along the slope between two points, which must be reduced using the vertical angle to obtain horizontal distance.
Instrument height (HI) / Reflector height (HR)The measured vertical distance from the survey hub to the center of the instrument and to the center of the prism, respectively; required for elevation computations.

Worked examples4

1. A closed-loop traverse has five stations. What is the theoretical sum of interior angles?
  1. Recall the formula: theoretical sum = (n − 2) × 180°
  2. Substitute n = 5: (5 − 2) × 180°
  3. Calculate: 3 × 180° = 540°
Answer: The theoretical sum of interior angles is 540°.
2. After completing a five-station traverse, the field crew sums their averaged interior angles and gets 540° 00′ 48″. What is the angular misclosure?
  1. Theoretical sum = 540° 00′ 00″
  2. Measured sum = 540° 00′ 48″
  3. Misclosure = measured − theoretical = 540° 00′ 48″ − 540° 00′ 00″ = +48"
Answer: The angular misclosure is +48 seconds (the measured angles sum to 48″ more than the theoretical value).
3. The project specification allows a misclosure tolerance of ±(5″ × √n) for a 5-second instrument. For a five-station traverse, does a misclosure of +48″ pass or fail?
  1. Calculate tolerance: ±5″ × √5
  2. √5 ≈ 2.236
  3. Tolerance = ±5″ × 2.236 = ±11.2″, round to ±11″
  4. Compare: |48″| > 11″
Answer: The traverse fails the tolerance. The crew must identify and re-observe the suspect station before leaving the site.
4. At Station C, the Face Left reading to the foresight is 86° 22′ 20″ and the Face Right reading (adjusted for the 180° flip) is 86° 22′ 40″. What is the averaged interior angle to record?
  1. Convert both readings to seconds for averaging: 86° 22′ 20″ and 86° 22′ 40″
  2. Sum of the two readings: 86° 22′ 20″ + 86° 22′ 40″ = 172° 45′ 00″
  3. Average = 172° 45′ 00″ ÷ 2 = 86° 22′ 30″
Answer: The averaged interior angle at Station C is 86° 22′ 30″.

The math in this lesson2

Learners compute (n - 2) x 180 = 540 degrees for a five-station traverse and find the 48-second angular misclosure.
A-SSE.1G-CO.10
Brush up in the math halls at newSchoolWorks.com:
In class: Stake five traverse hubs in the field using flags, ensuring intervisibility between adjacent stations; sketch the traverse network with distances estimated by pacing before beginning instrument work · Occupy each hub in sequence: set up instrument, backsight the previous station, measure the interior angle by direct and reverse face, measure slope distance to the next station, and record in a traverse booking form · Upon completing the loop, compute the angular misclosure in the field (sum of interior angles vs. the theoretical sum) and record whether it meets the specified tolerance before leaving the site
Materials: Total station, five tribrachs and hubs, stakes and flagging, field book, traverse booking form, scientific calculator, PPE, measuring tape for hub-to-hub distance verification
Check: Angular misclosure computed in the field and within the specified tolerance for the instrument class; all face-left and face-right readings recorded—both criteria required for pass

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NSPS CST L1-2 — Traverse Computations
1. For a closed-loop traverse with six stations, what is the theoretical sum of interior angles?
NSPS CST L1-2 — Instrument Operation
2. Why is the interior angle at each traverse station observed in both Face Left and Face Right positions?
NSPS CST L1-2 — Traverse Computations
3. A crew sums the interior angles of a five-station traverse and obtains 539° 59′ 10″. What is the angular misclosure?
NSPS CST L1-2 — Field Procedures
4. Which site condition is most important to verify during traverse reconnaissance?
NSPS CST L1-2 — Vertical Control
5. What is the primary purpose of recording the instrument height (HI) and reflector height (HR) at every traverse setup?
NSPS CST L1-2 — Quality Control
6. A traversed polygon has an angular misclosure of +48″. The allowed tolerance is ±11″. What is the correct immediate action?
NSPS CST L1-2 — Safety
7. When working a traverse adjacent to a roadway, which PPE item, in addition to safety glasses and steel-toed boots, is most critical for worker visibility?
NSPS CST L1-2 — Traverse Computations
8. During a traverse booking, you record a Face Left interior angle of 94° 15′ 10″ and a Face Right interior angle of 94° 15′ 30″. What averaged angle should be entered in the traverse form?
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