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How to Calculate a Traverse with the Traverse Calculator
Once Upon a Time
• Charley Chaplin and Harrison Ford set out to do a traverse around the Center for Regional Animal Psychosis Diagnosis on the SIU Campus.– The building was a long ways away from their
known point and direction near the Engineering Building so their first task was to traverse to a point where they could see the corners of the CRAPD building.
This Diagram Represents Their Situation
Starting Point
First Shot
Center forRegional Animal PsychosisDiagnosis
Their Nice Instructor Gave them a Gon Instrument to Start With
• Along with a Spreadsheet• They input their initial information
Initial Point InformationInstrument Location A
Back Sight Point smokestack
Instrument Used T2 gon
Survey Date Sept 11 2021
Back Sight Present StationAzimuth N E Elev Height Ins
59.2292 381288 2570639 448.31 5.4
They input theirFirst positionBacksightInstrument usedSurvey dateAnd height of theinstrument
Because they did not do any side shots they skipped the side shot
sectionCalculations for the Coordinates of Up to 5 Side Shot Points
Side Shot 1 from point A
Instrument Location A Coordinates of Sideshot PointBack Sight Piont smokestack Northing Easting ElevSideShot Point 381288 2570639 448.31Instrument UsedSurvey Date
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle
Zenith Angle 2 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Shot Data CalculationsBack Sight Present Station Angles Rod Readings EDM Horizontal Vertical Coordinates of ForesightAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height PoleDist Distance N E
59.2292 381288 2570639.41 448.31 0 0 0 0 381288 2570639
Side Shot 2 from point A
Instrument Location A Coordinates of Sideshot PointBack Sight Piont smokestack Northing Easting ElevSideShot Point 381288 2570639 448.31Instrument UsedSurvey Date
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal AngleVertical Angle
Shot Data CalculationsBack Sight Present Station Angles Rod Readings EDM Horizontal Vertical Coordinates of ForesightAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height PoleDist Distance N E
59.2292 381288 2570639.41 448.31 0 90 0 0 381288 2570639
Side Shot 3 from point A
Instrument Location A Coordinates of Sideshot PointBack Sight Piont smokestack Northing Easting ElevSideShot Point 381288 2570639 448.31Instrument UsedSurvey Date
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal AngleVertical Angle
Shot Data CalculationsBack Sight Present Station Angles Rod Readings EDM Horizontal Vertical Coordinates of ForesightAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height PoleDist Distance N E
59.2292 381288 2570639.41 448.31 0 90 0 0 381288 2570639
Side Shot 4 from point A
Instrument Location A Coordinates of Sideshot PointBack Sight Piont smokestack Northing Easting ElevSideShot Point 381288 2570639 448.31Instrument UsedSurvey Date
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal AngleVertical Angle
Shot Data CalculationsBack Sight Present Station Angles Rod Readings EDM Horizontal Vertical Coordinates of ForesightAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height PoleDist Distance N E
They move right downThe sheet to whereThey will inputInformation for aForesight point theyWill actually occupy.
They Moved to the Foresight Section
Calculation of Foresight Point LocationInstrument Location A Coordinates of Foresight Point
Back Sight Point smokestack Northing Easting Elev
Foresight Point 381288 2570639 448.31
Instrument UsedSurvey Date
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal AngleVertical Angle
Shot Data CalculationsBack Sight Present Station Angles Rod Readings EDM Horizontal Vertical Coordinates of ForesightAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height PoleDist Distance N E Elev
59.2292 381288 2570639 448.31 0 90 0 0 381288 2570639 448.31#DIV/0! 381309.5 2570275
Calculation of Foresight Point LocationInstrument Location A
Back Sight Point smokestack
Foresight Point B
Instrument Used T2 gon
Survey Date Sept 11 2021
They gaveTheirForesight aName andEnteredInstrument andSurvey date
With Their Instrument on Point A
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle
Zenith Angle 2 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Charley takes aim at a Stadia rod being held by Harrison Ford at point B and then Charley reads off and enters the angles
Charley indicates he is using a Zenith Angle InstrumentThat measures in grads (or gons)
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 242.9755
Zenith Angle 1 Vertical Angle 100(1=Yes, 2=Horizontal) Set 1 by units 1
Charley Enters the Horizontal and Vertical Angles
He turns his angle to the right from the backsight to his foresight point atB and reads the horizontal angle at 242.9755 gons.
He notes that he can still read the rod even if he shoots horizontal(this means he can get his change in elevation from the difference of theHeight of the instrument and center rod reading). Thus he enters 100 whichIs his vertical angle when the scope is level.
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 242.9755
Zenith Angle 1 Vertical Angle 100(1=Yes, 2=Horizontal) Set 1 by units 1
Charley Also Enters His Rod Readings and Instrument Height
Back Sight Present Station Angles Rod ReadingsAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R
59.2292 381288 2570639 448.31 5.4 218.678 0 2 3.82 0.182
The Spreadsheet Tells Charley
Coordinates of Foresight Point
Northing Easting Elev
381338.1 2570279 451.71
Coordinates of ForesightN E Elev FS Azimuth381338.1 2570279 451.71 277.9072
The Coordinates of his Foresight Point
And the Azimuth of the line that leads toThe foresight point.
Harrison and Charley Plan their Next Shot
They will move their instrument to point B, their foresight point and from thereThey will sight another foresight point that will be in a position for them to beginTaking side-shots to the building corners.
About This Time
• Their instructor comes up and collects their T2 gon measuring instrument and leaves them with the Heiliger Watts Theodolite which measures angles in Mills.
• Of course with their great skills for operating any instrument and with a spreadsheet that can do the math for any angle system they are not upset and continue with their plans.
Harrison Ford Operates the Instrument
• He sets it up on point B.• He measures his height of instrument• He backsights point A and sets his horizontal
angle to 0• He enters data in his spreadsheet
Instrument Location B
Back Sight Point A
Foresight Point C
Instrument Used HW Mill
Survey Date Sept 11 2021
Charlie Stands at Point C While Harrison turns the angle and sights
the Stadia Rod
• Harrison enters the results in his spreadsheet.
Angle Conversions Grads MillsHorizontal Angle 4053.612
Zenith Angle 1 Vertical Angle 1500(1=Yes, 2=Horizontal) Set 1 by units 1
It’s a Zenith Angle Machine ReadingIn Mills
In this case the telescope was not level. Harrison shot to the rod so that the centerRod reading was the same as his height of instrument.
Harrison Also Enters his Rod Readings
Shot DataAngles Rod Readings
Height Ins H to Right Vert Angle Center R Upper R Lower R4.2 228.0157 5.625 4.2 6.26 2.14
4.2
Note that Harrison has tilted his scope so that the center rodReading and height of instrument are the same.
The Computer Gives the Coordinates of Point C
Coordinates of Foresight Point
Northing Easting Elev
381676 2570050 491.8986
Coordinates of ForesightN E Elev FS Azimuth
381676 2570050 491.8986 325.9228
From Point C Harrison and Charlie Can Take Side Shots to the Center for Animal
Psychosis Diagnosis Building
• About this time their “make life hard” instructor changes their instrument yet again – but this time he gives them a Total Station, so maybe he isn’t so bad after all.
From Point C They Plan to Take Side Shots to 6 corners of the
building
C6
C4 C5
C
C3 C2
C1
Center for Retional Animal Psychosis Diagnosis
Charlie Takes the Instrument this Time and Begins Entering His Key
DataInstrument Location CBack Sight Piont BSideShot Point C1Instrument Used Total StationSurvey Date Sept 18 2021
Angle ConversionsHorizontal Angle
Zenith Angle 1 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Back Sight Present StationAzimuth N E Elev Height Ins145.9228 381676 2570050.241 491.8986 4.3
He entersThe sideShot pointHe isShooting
The instrument
Date
And Height ofInstrument
Note that the points entered on the data sheet correspond to the point names on the sketch
Charlie Also Enters His Angles
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 70 19 52
Zenith Angle 1 Vertical Angle 90(1=Yes, 2=Horizontal) Set 1 by units 1
And his EDM Data
EDMLower R Dist Height Pole
156.08 5.2
Note that the vertical angle shows the angle the distance was shot atAlso note that they did enter the height of the reflector.
The Spreadsheet Returns the Corner Coordinates
Coordinates of Sideshot PointNorthing Easting Elev381550.2 2569958 490.9986
Taking Advantage of Already Zeroing on a Backsight Charlie
Turns to the C2 Side Shot Directly Angle Conversions Grads Mills Degrees Minutes Seconds
Horizontal Angle 99 38 0Zenith Angle 1 Vertical Angle 90(1=Yes, 2=Horizontal) Set 1 by units 1
AnglesElev Height Ins H to Right491.8986 4.3 99.63333
He Enters his Angle Data
He re-enters his instrument height(spreadsheet allows this for eachSide shot in case you have toReset up the instrument at theSame point)
EDMLower R Dist Height Pole
120.83 5.1
He Enters His EDM Shot Data
The Spreadsheet Gives Him the C2 Coordinates
Coordinates of Sideshot PointNorthing Easting Elev
381626 2569940 491.0986
By Now Charlie is on a Roll
• He shoots in the building corners at C3, C4, C5, and C6.
Now it is time to Pick a Foresight to Get Them Around the Building.
C6
C4 C5
C
Center for Regional Animal Psychosis Diagnosis
D They pick a point D from whichThey can shoot to a point andGet the other corners of the building.
Charlie Puts his Basic Instrument Data into the Spreadsheet
Instrument Location C
Back Sight Point B
Foresight Point D
Instrument Used Total Station
Survey Date 9/18/2021Angle Conversions
Horizontal AngleZenith Angle 1 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Back Sight Present StationAzimuth N E Elev Height Ins145.9228 381676 2570050 491.8986 4.3
He Inputs His Angle Readings
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 181 20 31
1 Vertical Angle 88(1=Yes, 2=Horizontal) Set 1 by units 1
And the readings from his EDM Shot
EDMDist Height Pole
333.07 5.1
The Computer Gives them the Coordinates of Point D
Coordinates of Foresight Point
Northing Easting Elev
381956 2569870 502.7226
Harrison Ford takes over as they move the machine to Point D
• They take side shots to the two corners they can see just so they can cross check that the corners stay in the same place.
• Then Harrison shoot to a new foresight point where they can see the rest of the corners of the building. They name the new foresight point E.
Harrison Ford Sets Up and Takes his Foresight Shot to E
C6
C4 C5
Center for Regional Animal Psychosis Diagnosis
D
E
He Inputs his data and gets the Coordinates of Point E
Instrument Location D Coordinates of Foresight Point
Back Sight Point C Northing Easting Elev
Foresight Point E 381676 2569570 487.9922
Instrument Used Total Station
Survey Date Sept 18 2021Angle Conversions Grads Mills Degrees Minutes Seconds
Horizontal Angle 79 42 36Zenith Angle 1 Vertical Angle 92(1=Yes, 2=Horizontal) Set 1 by units 1
Shot DataBack Sight Present Station Angles Rod Readings EDMAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist Height Pole147.2648 381956 2569870 502.7226 4.7 79.71 -2 410.62 5.1
Our Band Now Moves to Point E and Starts Shooting in Building
Corners
• When they see their instructor coming with another instrument. Yes it’s a transit that he changes out with them this time.
Charlie Finishes Shooting the Corners and then Shoots to a Foresight to Return and
Close the Traverse.E1
E2E3
E4E5
E6
##
Center for Regional Animal Psychosis Diagnosis
E
F
Charlie Inputs His Data for the Foresight
Instrument Location E
Back Sight Point D
Foresight Point F
Instrument Used Transit
Survey Date Sept 18 2021Angle Conversions
Horizontal AngleZenith Angle 2 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Back Sight Present StationAzimuth N E Elev Height Ins46.97477 381676 2569570 487.9922 4.2
Charlie Then Puts in His Angle Info.
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 290 11
Zenith Angle 2 Vertical Angle 2(1=Yes, 2=Horizontal) Set 1 by units 1
The transit has its vertical angle 0 horizontally instead of straight up so CharliePuts in 2
He then indicates his vertical angle was two which – well maybe it was up – ya itWas up – I think.
Charlie Adds His Stadia Rod Readings
Rod ReadingsCenter R Upper R Lower R
4.2 6.26 2.14
Coordinates of Foresight Point
Northing Easting Elev
382055.3 2569410 502.362
The computer returns the Coordinates of point F
The day is ended butCharlie and HarrisonAre sure they canClose their traverseNext week.
The Next Week
• Harrison and Charlie get the Digital Transit to work with.
• They have surveyed in all the points around the Center for Regional Animal Psychosis Diagnosis. All they have to do is survey back to the original point by the Engineering Building.
Harrison and Charlie Plan Out How They will Close Their Traverse in
Two Shots
Harrison Sets Up the Instrument on Point F
• He backsights to E
• He then foresights to the point G about halfway back to the traverse starting point.
Harrison Enters His Instrument Set-Up Data
Instrument Location F
Back Sight Point E
Foresight Point G
Instrument Used Digital Transit
Survey Date Sept 25 2021Angle Conversions
Horizontal AngleZenith Angle 1 Vertical Angle(1=Yes, 2=Horizontal) Set 1 by units
Back Sight Present StationAzimuth N E Elev Height Ins157.1581 382055.3 2569410 502.362 4.3
He Enters His Angle and Rod Data
Angle Conversions Grads Mills Degrees Minutes SecondsHorizontal Angle 119 57 30
Zenith Angle 1 Vertical Angle 90(1=Yes, 2=Horizontal) Set 1 by units 1
Shot DataPresent Station Angles Rod Readings EDM
E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist2569410 502.362 4.3 119.9583 0 3.1 5.52 0.68
3.1
Coordinates of Foresight Point
Northing Easting Elev
382115.2 2568930 503.562
The Computer Returns the Coordinates of Point G
Now Charlie Takes the Instrument
• He Sets Up on Point G
• Backsights Point F
• And Foresights the Starting Point for the Whole Survey (thus closing the traverse back to the original point of beginning).
Charlie Enters His Data
Instrument Location G Coordinates of Foresight Point
Back Sight Point F Northing Easting Elev
Foresight Point A 382065.2 2568501 477.1477
Instrument Used Digital Transit
Survey Date Sept 25 2021Angle Conversions Grads Mills Degrees Minutes Seconds
Horizontal Angle 166 14 35Zenith Angle 1 Vertical Angle 93 29 45(1=Yes, 2=Horizontal) Set 1 by units 1
Shot DataBack Sight Present Station Angles Rod Readings EDMAzimuth N E Elev Height Ins H to Right Vert Angle Center R Upper R Lower R Dist97.11644 382115.2 2568930 503.562 4.3 166.2431 -3.49583 4.3 6.47 2.13 0
Now Harrison and Charlie Look to See How They Did at Closing Back
on Their Original Point
Coordinates of Sideshot PointNorthing Easting Elev
381288 2570639 448.31
Coordinates of Foresight Point
Northing Easting Elev
382065.2 2568501 477.1477
Location of StartingPoint
Location when theyGot back
With a quick check our survey crew finds they missed closure by 2,275 feet
Harrison and Charlie Look at Each Other
• (Charlie) – Maybe Dr. Paul won’t notice• (Both) – No• (Charlie) – Maybe its not that bad of a mistake –
after all the total closure error is less than ½ mile.
• (Harrison) – We take a few 400 foot shots – miss closure by just under ½ mile, and say its just a little error. Someone is going to say that takes talent – not the type of talent you want to have.
Continuing Conversation
• (Harrison – Maybe we can hide the last part of the data and then say we didn’t know we were suppose to close the traverse back to the original point)
• (Charlie – That sounds like a good way to be out surveying on a weekend when he sends us back to finish)
Conversation Continued
• (Harrison – Maybe we ought to figure out what we did wrong and go back and just redo what we messed up)
• (Charlie – And how do you suggest we find out where we messed up?)
Stay Tuned for AnotherExciting Episode of Mining Surveying!