FW08 — Closed Traverse Using a Total Station

I — Project Details

ItemRecord
Fieldwork / ProjectFW08 — Closed Traverse Using a Total Station
LocationUniversity Campus — Control Exercise
Date / TimeOctober 15, 2026; 1:00–4:00 PM
Group / SectionGroup 1 / CE Surveying
TraverseA-B-C-D-A
Starting CoordinateA = N 1000.000 m, E 1000.000 m
Coordinate ReferenceAssumed local coordinate system
Instrument / Prism Constant5″ total station / 0 mm
Weather / VisibilityClear; unobstructed prism sights

II — Survey Team and Equipment Used

A — Survey Team

MemberAssignment / DescriptionRemarks
Student AParty ChiefNone
Student BTotal Station OperatorNone
Student CPrism PersonNone
Student DRecorder / Data CheckerNone
Student EStation MarkerNone
Student FSafety ObserverNone

B — Equipment Used

Equipment / InstrumentID / DescriptionQuantityRemarks
Total StationTS-02; 5″ least count1Centering and leveling checked
TripodTP-031Serviceable
Prism and PolePR-01 / PP-021 setPrism constant 0 mm; pole bubble checked
Optical PlummetBuilt into TS-021Checked at every station
Station StakesA, B, C, D4Stable and labeled
PPE SetHigh-visibility vest and closed shoes6Complete

III — Project Sketch and Photo Documentation

A — Project Sketch

FW08 — Adjusted Total-Station Traverse

B — Google Maps Location Points

Point / AreaMap RecordPurpose / Limitation
Traverse work areaVerified Google Maps pin or polygon required in actual reportGeographic context
Stations A to DVerified WGS84 points may be included if independently capturedAssumed local coordinates remain the computation basis
Starting controlA and backsight reference identified in field sketchPrevents confusing map location with survey control

C — Photo Documentation — Dedicated Page

Reserve one complete report page for the embedded original images represented by this register.

PhotoImage FileDescription
1FW08-photo-01.jpgTotal station centered and leveled over Station A
2FW08-photo-02.jpgPrism pole held vertical at the foresight station
3FW08-photo-03.jpgStation occupation and angular observation sequence
4FW08-photo-04.jpgClosing observation and field-data review

IV — Observations and Data

A — Angular Observations

StationInterior Angle
A89°59′58″
B90°00′05″
C90°00′03″
D89°59′54″
Sum360°00′00″

B — Accepted Directions and Distances

LineHorizontal Distance (m)Azimuth
AB80.01235°00′10″
BC59.995125°00′05″
CD80.004215°00′02″
DA59.998305°00′08″
Perimeter280.009

C — Unadjusted Components and Closure

LineLatitude (m)Departure (m)
AB+65.5398+45.8962
BC-34.4129+49.1442
CD-65.5350-45.8890
DA+34.4153-49.1461
Sum+0.0072+0.0052
QuantityResult
Linear error of closure0.00887 m
Relative precisionapproximately 1:31,557

D — Bowditch Adjustment and Adjusted Coordinates

LineC-Lat (m)C-Dep (m)Adjusted Lat (m)Adjusted Dep (m)
AB-0.00206-0.00148+65.53771+45.89470
BC-0.00154-0.00111-34.41445+49.14308
CD-0.00206-0.00148-65.53705-45.89052
DA-0.00154-0.00111+34.41380-49.14726
Sum-0.00721-0.005170.000000.00000
StationNorthing (m)Easting (m)
A1000.00001000.0000
B1065.53771045.8947
C1031.12331095.0378
D965.58621049.1473
A (close)1000.00001000.0000

V — Computations and Assumptions

Angular closure for a four-sided polygon:

∑θtheoretical=(4−2)(180∘)=360∘\sum\theta_{\mathrm{theoretical}}=(4-2)(180^\circ)=360^\circ

The observed sum is exactly 360∘00′00′′360^\circ00'00'', so the model applies no angular correction.

Linear closure:

LEC=(0.0072)2+(0.0052)2=0.00888 m≈0.00887 mLEC=\sqrt{(0.0072)^2+(0.0052)^2}=0.00888\text{ m}\approx0.00887\text{ m} Relative precision=280.0090.00887≈1:31,557\text{Relative precision}=\frac{280.009}{0.00887}\approx1:31{,}557

Bowditch corrections for course length LiL_i and perimeter PP:

CLat,i=−∑Lat(LiP),CDep,i=−∑Dep(LiP)C_{Lat,i}=-\sum Lat\left(\frac{L_i}{P}\right),\qquad C_{Dep,i}=-\sum Dep\left(\frac{L_i}{P}\right)

Assumptions and conventions:

  • Coordinates use an assumed local system with Station A fixed.
  • Positive latitude is north; positive departure is east.
  • The prism constant is 0 mm and entered correctly.
  • Bowditch adjustment is appropriate because angular and distance observations are treated as having comparable relative quality.
  • Displayed correction sums use unrounded internal values; table entries are rounded for reporting.

VI — Remarks and Conclusions

A — Remarks

  • The angular observations close exactly in the model dataset.
  • Centering, prism-pole plumbing, target pointing, atmospheric conditions, and instrument/prism settings are probable error sources.
  • Unadjusted observations and components remain visible after adjustment.

B — Conclusion

The unadjusted traverse closes by 0.00887 m (8.87 mm) over 280.009 m, equivalent to approximately 1:31,557. After Bowditch adjustment, latitude and departure sums are zero and the coordinates return to Station A.

Example filename: `G#1-P#8-Total Station Traverse.pdf`