Appendix A

 

Pace Calibration and Traverse Pacing Data                                            A2

          Table 1. Pace Calibration Data and Calculations

          Table 2. Traverse Pacing Raw Data and Adjusted Azimuths

 

Differential Leveling and Level Circuit Analysis Data                            A3

          Table 3. Differential Leveling and Level Circuit Analysis Raw Data

          Office Computations for Differential Leveling

          Table 4. Tabulation of Differential Error Adjustments

 

Horizontal Distance and Interior Angle Measurement Data               A4   

Table 5. Raw Data for Measurements of Horizontal Distances by Total Station

Table 6. Raw Data for Interior Angle Measurement

Adjusted Interior Angle Computations

Table 7. Adjusted Angle Measurement

 

Raw Topographic Data                                                    A5

Table 10. Raw topographic data from data collector

 

Traverse Computation Tables                                              A6

Table 11. Tabulated Calculation of Azimuths for Traverse Points

Table 12. Summary of Calculations for Latitude and Departure Corrections

Table 13. Summary of Northing and Easting Calculations

Table 14. Adjusted Traverse Distances and Azimuth calculations

 

Traverse Sample Calculations                                              A8

                Table 10 Sample Calculation

                        Table 12 Sample Calculation

                        Table 13 Sample Calculation

 

 

 

 

 

 

 

 

Pace Calibration and Traverse Pacing Data

 

Table 1. Pace Calibration Data and Calculations

 

 

 

 

Table 2. Traverse Pacing Raw Data and Adjusted Azimuths

 

 

Differential Leveling and Level Circuit Analysis Data

 

Table 3. Differential Leveling and Level Circuit Analysis Raw Data

 

 

 

Office computations for Tables 3 and 4

1. Page check: 356.121 + 6.881-9.456 = 353.546

 

2. Closure (Actual BM elevation is 353.549 m)

            Actual closure: 353.546 – 353.549 = -0.003 m = 3 mm

            Allowable Closure: 12 Ök = 12 *(374/1000)^0.5 = 7.34 mm

            Since actual = 3 mm < allowable = 7.34 mm, survey is acceptable

 

3. Elevation adjustments due to error (rounded to nearest 5mm)

Sample calculation: For TC 23, adjustment = +0.003 *(76/374) = +0.0006 m = +0.000

 

 

 

Table 4. Tabulation of Error Adjustment Office Calculations

 

 

Horizontal Distance and Interior Angle Measurement Data

 

Table 5. Raw Data for Measurements of Horizontal Distances by Total Station

 

Table 6. Raw Data for Interior Angle Measurement

 

Office Computations for Table 7

 

Note: least count (L.C.) of instrument is 5”; smallest increment of angular measure is 2.5”

1. Misclosure:

            Allowable = 1.5 L.C.Ö3 = 1.5*5”*3^.5 = 13”

            Actual = 180º00’02” - 180º00’00” = 0º00’02”

            Since actual = 2” < Allowable = 13”, Survey is acceptable

 

2. Angle Adjustments

Angle adjustments were made using the average correction method. Angles were rounded to the nearest 2.5” (because this is the smallest increment of angular measure.)

            Average correction per point= Actual error/ number of points  = 2”/3 = 0.667”

Average correction in Table 7 was found by adding the total correction needed for that point. (Error is accumulated)

 

 

Table 7. Adjusted Angle Measurement

 

Topographic Raw Data

 

Table 10. Raw topographic data from data collector

 

 

 

 

Traverse Computation Tables

 

Table 11. Tabulated Calculation of Azimuths for Traverse Points

 

 

Table 12. Summary of Calculations for Latitude and Departure Corrections

 

 

Table 13. Summary of Northing and Easting Calculations

 

 

 

 

 

Table 14. Adjusted Traverse Distances and Azimuth calculations

 

 

 

 

 

Traverse Sample Calculations

 

Shown in Table 10

 

Elevation of Point S2:

 

            ELEV_S2 = ELEV₆₃ + S sin θ + hi – R

 

            ELEV_S2 = 352.534 + 37.232 (sin 00º03’20”) + 1.383 – 1.478

 

            ELEV_S2 = 352.48 m

 

 

Contour Distance:

 

            DIST = [(Elev_cont – ELEV₁) / (ELEV₂ – ELEV₁)] x DIST₁₂

 

            DIST = [(352.50 – 352.48) / (352.53 – 352.48)] x 37.232

 

            DIST = 14.89 m

 

 

Shown in Table 12

 

For Line 63-23:

 

            LAT = L cos θ

            LAT = 92.11 (cos 361.199)

            LAT = 92.089 m

 

            DEP = L sin θ

            DEP = 92.11 (sin 361.199)

            DEP = 1.927 m

 

            LAT CORR = -(L/ΣL) (Σ LAT)

            LAT CORR = -(92.11/239.77) (0.00498)

            LAT CORR = -0.0019

 

            DEP CORR = -(L/ΣL) (Σ DEP)

            DEP CORR = -(92.11/239.77) (0.00009)

            DEP CORR = -0.00004

 

            ADJ LAT = LAT + LAT CORR

            ADJ LAT = 92.0898 – 0.0019

            ADJ LAT = 92.0879

 

            ADJ DEP = DEP + DEP CORR

            ADJ DEP = 1.9272 – 0.00004

            ADJ DEP = 1.9272

 

 

Shown in Table 13

 

For Point 23:

 

            Northing₂₃ = Northing₆₃ + LAT_63-23

 

            Northing₂₃ = 966.305 + 92.087

 

            Northing₂₃ = 1058.393

 

 

            Easting₂₃ = Easting₆₃ + DEP _63-23

 

            Easting₂₃ = 983.751 + 1.927

 

            Easting₂₃ = 985.678

 

 

            Area of Traverse = |Σ(X_i Y_i+1) – Σ(X_i+1 Y_i)| / 2

 

            Area of Traverse = | 2,929,264 – 2,923,973 | / 2

 

            Area of Traverse = 2,645.78 m^2