Land Surveying

Application nb.1

SURVEYING CALCULATIONS

Delivery date
24.02.2009

Student

Application nb.1
Surveying calculations
The ensemble of operations in order to obtain plans and maps is known as surneying.Because during land surveying, the calculations involve a large volume of work, it is proper that the way of doing these calculations to be well studied.
Application theme
In order to establish the position of points, depending on a reference coordinates system, related to the
Earth’s surface, it is necessary the knowledge of some essential surveying calculations.
Datums
1. The space rectangular coordinates of the 32 and 43 points from the triangulation network.
2. The results of measurements for establishing the space position of a new point, 107: the horizontal angle, β, the zenith angle, Z, the ground distance, di, which is measured directly using a 50 m long steel measuring tape.
43 ∆
(X43, Y43, Z43)

β
∆
di , Z
32
(X32, Y32, Z32)

o

107

Fig. 1.1

The applications datums containg the initial elements i. e. , space rectangular coordinates of the 32 and 43 points, and the elements resulting from field measurements as the horizontal and zenith angles and the ground distance are indicated in table.
NOTE: The datums of the application will be modified as below: the abscisa of the 32 point: X32 +/-n(m) the ground distance: di +/-n(m)

Table 1.1
Pct.
statie

Pct. vizat 51

Distanta
Inclinata
di
-

Unghi
Zenital
Z
-

Unghi
Orizontal
β
-

Coordonate spatiale

Nr. pct. X
2421,69

Y
1833,12

Z
231,96

43

101

138.75

94g51c

131g74c

1735,43

2351,12

164,55

32

45

The application will consist of :
1. Determination of the grid bearing and horizontal distance of 32 – 43 its coordinates .
2. Determination , by transfer, of the 32 – 107 direction’s grid bearing .
3. Determination of the distance reduced to the horizontal do and the level difference between the known