Examples

M9-Ex1 Following are the tachometric observation for a closed-loop traverse.

Line

Azimuth (Correct)

Magnetic Bearing

Stadia Interval (m)

Verical Angle

AB

85° 06'

 

0.995

+4° 32'

BC

 

10° 15'

1.895

+3° 51'

CD

 

265° 00'

1.550

-5° 04'

DA

 

173° 00'

1.860

-2° 10'

  • Find out the azimuth of the sides of the traverse after making necessary correction by Included Angle method, assuming the Azimuth of AB is correct.
  • Find out the length of the sides and differences in elevations between stations.
  • Carry out the balancing of traverse adopting Bowditch's rule.
  • Find out the CONSECUTIVE coordinates of the stations.
  • Considering Station A as origin, find out the INDEPENDENT coordinates of the stations.

M9-Ex2 A straight tunnel is to be run between two points A and B, whose independent coordinates are

Point

Independent Coordinates (meters)

N
E

A

0

0

B

3014

256

C

1764

1398

It is desired to sink a shaft at D, the mid-point of AB , but is impossible to measure along AB directly, so D is to fixed from C, another point whose coordinates are known. Calculate:

  • independent coordinates of D.
  • length and bearing of CD.
  • angle ACD, given the WCB of AC as 38° 24'

M9-Ex3 In running a traverse, the lengths and bearing of the lines are observed are

Line

Length (m)

Bearing

AB

150.0

N 75° 42' E

BC

100.0

N 32° 48' E

CD

300.0

S 28° 54' E

DE

800.0

S 5° 36' E

A point F is situated at the centre of the line joining A and E. Find out the length and bearing of the side CF.

M9-Ex4 The following observations were made for a closed traverse ABCDEA.

Line

Length(m)

Included angles

AB

1512.1

< EAB = 112° 36'

< ABC = 131° 42'

< BCD = 95° 43'

< CDE = ?

< DEA = 93° 14'

BC
863.7
CD
?
DE
?
EA
793.7

It was not possible to occupy D, but it could be observed from C and E. Calculate the observations that could not be made taking DE as datum assuming all the observations to be correct.

M9-Ex5 Following are the tachometric observation for a closed-loop traverse. The elevation of station A is 160.435 m and the coordinates for station A are XA = 457,200.055 m, YA = 67,640.840 m. Compute the independent. Coordinates of each stations often making proper adjustment using a Gales' Traverse Table.

Line

Azimuth

Interval (m) Stadia

Verical Angle

AB

85° 06'

0.995

+4° 32'

BC

10° 18'

1.895

+3° 51'

CD

265° 00'

1.550

-5° 04'

DA

173° 04'

1.860

-2° 10'

M9-Ex6 A traverse ABCD is established inside a four-sided field, and the corners of the field are located by angular and linear measurements from the traverse stations, all as indicated by the following data.

Course

Bearing

Length(m)

AB

S 89° 38' E

2946.4

AE

N 20° 00' W

34.2

BC

S 43° 20' W

333.9

BF

N 35° 20' E

16.9

CD

S 80° 21' W

215.6

CG

S 73° 00' E

27.

DA

N 27° 24' E

314.2

DH

S 36° 30' W

15.7

Compute the departures and latitudes and adjust the traverse. Compute the independent coordinates of each traverse point and of each property corner, using D as origin of coordinates. Compute the length and bearing of each side of the field EFGH and tabulate results. Calculate the area of the field by the Coordinate method.

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