c. Crossing Loop Traverse

As long as a traverse closes back on its beginning point, it can be adjusted the same as any other loop traverse.

img17
Figure E-8
Crossing Loop Traverse Example

 

Line Azimuth Length (ft) Lat (ft) Dep (ft)
EF 133°02'45" 455.30 -310.780 +332.737
FG 24°33'35" 228.35 +207.691 +94.912
GH 241°05'15" 422.78 -204.403 -370.084
HE 349°25'20" 312.85 +307.534 -57.430
  sums: 1419.28 +0.042 +0.135
    Dist Lat err
too far N
Dep err
too far E

 

(1) Adjust and recompute each line.

Setup Equations E-1 and E-2:

img51

Solve Equations E-3 and E-4 for each line:

Line EF

img52

img53

img54

Because it's in the SE quadrant: Az = 180°00'00"+(-46°56'57.1") = 133°03'02.9"

Line FG

img55

img56

img57

Because it's in the NE quadrant: Az = 24°33'19.7"

Line GH

img58

img59

img61

Because it's in the SW quadrant: Az = 180°00'00"+(61°05'18.8") =241°05'18.8"

Line HE

img63

 img64a

img65

Because it's in the NW quadrant: Az = 360°00'00"+(-10°35'00.5") = 349°24'59.5"

(2) Adjustment summary
  Adjusted Adjusted
Line Lat (ft) Dep (ft) Length (ft) Azimuth
EF -310.794 +332.694 455.278 133°03'02.9"
FG +207.684 +94.890 228.335 24°33'19.7"
GH -204.416 -370.124 422.821 241°05'18.8"
HE +307.525 -57.460 312.847 349°24'59.5'
sums: -0.001 0.000    
  check (rounding) check