Surveying 1

GISELLE ANN L. MENDOZA

BSCE 3C

COMPILATION OF LECTURES

(FINALS)

Traverse Computations

A. Interior Angle Traverse

Ex. Tabulated below are field data of an interior angle traverse. Calculated the bearings of the traverse lines of AB is S 89ᵒ 00’ E

Sta. Occ | Sta. Observe | Observe Int. ∟s | Length |

A | E | | |

| B | 166ᵒ 52’ | 139.11 |

B | A | | |

| C | 103ᵒ 15’ | 50.03 |

C | B | | |

| D | 89ᵒ 28’ | 210.46 |

D | C | | |

| E | 90ᵒ 04’ | Error of closure = 5’

Error/corner = 5’ / 5 = 1’

80.23 |

E | D | | |

| A | 90ᵒ 16 | 74.46 |

Sta | Observe Int. ∟s | Adj. Int. ∟s |

A | 166ᵒ52’ | 166ᵒ52’ |

B | 103ᵒ15’ | 103ᵒ16’ |

C | 89ᵒ28’ | 89ᵒ29’ |

D | 90ᵒ04’ | 90ᵒ05’ |

E | 90ᵒ 16’ | 90ᵒ 17’ |

| Ʃ= 539ᵒ55’ | Ʃ= 540ᵒ |

BC = 103ᵒ 16’ + 89ᵒ00’ - 180ᵒ

= S 12ᵒ 16’ E

CD = 180ᵒ - (89ᵒ29’ + 12ᵒ16’)

= S 78ᵒ 15’ W

DE = 90ᵒ 05’ - 78ᵒ 15’

= N 11ᵒ50’ W

EA = 180ᵒ - (11ᵒ50’ - 90ᵒ17’)

= N 77ᵒ53’ E

AB = 166ᵒ 53’ - 90ᵒ 17’

= S89ᵒ00’ E

B. Deflection Angle Traverse

Ex. Given a deflection angle traverse, calculated bearings of AB is N 40ᵒ 20’ E

Sta | Deflection ∟s | Adj. Deflection ∟s |

A | 28ᵒ25’ L + 30 | 28ᵒ25’30’’ L |

B | 68ᵒ03’30” L + 30 | 68ᵒ04’0” L |

C | 120ᵒ 34’00’’ L + 30 | 120ᵒ 34’30’’ L |

D | 58ᵒ 30’00’’ R – 30 | 58ᵒ 29’30’’ R |

E | 108ᵒ 13’ 30’’ L + 30 | 108ᵒ 14’ 00’’ L |

F | 16ᵒ 50’00’’ R – 30 | 16ᵒ 49’30’’ R |

G | 110ᵒ 00’30’’ L + 30 | 110ᵒ 01’00’’ L |

| | = 360ᵒ |

Error of Closure = 3’30’’

7

= 30’’

Ʃ L = 435ᵒ 16’30’’

- Ʃ R = 75ᵒ 20’ 00’

359ᵒ 56’ 30’’

BC = 68ᵒ 01’ - 40ᵒ20’

= N 27ᵒ44’ W

CD = 180ᵒ - (120ᵒ 34’30’’ + 27ᵒ 44’)

= S 31ᵒ41’ 30’’ W

DE = 180ᵒ - (58ᵒ 29’30’’ + 31ᵒ 41’ 30’’)

= N 89ᵒ 49’00’’ W

EF = (108ᵒ 14’ + 89ᵒ 49’) - 180ᵒ

= S 18ᵒ 03’ E

FG =

GA =

Latitude – is the...