Teacher - PhD, older teacher , SHCHekina Anastasiia

Outline

 

Averange angle is middle between Half Reception Angle RR and Half Reception Angle RL. Defference between Half Reception Angle RR and Half Reception Angle RL have to be no more then 1 minute.

 

Table 1

Журнал измерения углов теодолитной съемки

                                                                       log of angles measured by theodolite

Point Numbers		КП(КЛ) RR(RL) FR(FL)	Отсчеты по горизонтальному кругу Result in horizontal ring Result in horizontal face	Угол в полуприеме Half Reception Angle	Средняя величина угла Average angle	Длина линии, D. м distance, m	Tilt angle a	Горизнтальное проложение , (d) Horisontal line Proection on the level ground
Станции station	Наблюдаемые точки Points
1	5	КП	215°48'0''		68°24'30''	(1-2)	-	101,100
				68°24'0''		101,1
	2		147°24'0''			101,1
	5	КЛ	159°41'0''			101,1
				68°25'0''
	2		91°16'0''
2	1	КП	184°11'0''		69°56'30''	(2-3)	-	70,260
				69°57'0''		70,25
	3		114°14'0''			70,27
	1	КЛ	308°54'0''			70,26
				69°56'0''
	3		238°58'0''
3	2	КП	264°56'0''		242°59'0''	(3-4)	-	63,610
				242°59'0''		63,6
	4		21°57'0''			63,62
	2	КЛ	123°16'0''			63,61
				242°59'0''
	4		240°17'0''
4	3	КП	336°38'0''		56°17'0''	(4-5)	-	72,190
				56°17'0''		72,2
	5		280°21'0''			72,18
	3	КЛ	277°49'0''			72,19
				56°17'0''
	5		221°32'0''
5	4	КП	117°47'0''		102°25'0''	(5-1)	3°35'0''	133,399
				102°25'0''		133,68
	1		15°22'0''			133,64
	4	КЛ	47°58'0''			133,66
				102°25'0''		133,68
	1		305°33'0''

 

Horisontal line/Proection on the level ground : d= D*cos а, D – middle distance , a- tilt angle, if you have not tilt angle – this meant that tilt angle = 0.

 

How to calculate the middle  distance. Example distance between points 2-3 will be (70,25+70,27)=70,26 - middle distance

70, 25 - distance between points 1 and 2. One person stay with measuring tape in 1 point , other person stretched the measuring tape in point 2

70, 27 - distance between points 2 and 1. One person stay with measuring tape in 2 point , other person stretched the measuring tape in point 1

Difference od the distance between points 1 and 2, and distance between points 2 and 1 have to be not more then 10

ЗАДАНИЯ (Variants)

Вариант (Variant) 1

 

 

Вариант (Variant) 2

 

 

Вариант (Variant)  3

 

 

 

Part 2

You need to study the information and calculate the directional angles for your option.

You have been given:

1. Your data from the first part of the task

2. Directional angle of the AB line according to the options:

1-36

2-45

3-67

4-56

5-43

6-300

7-25

8-230

9-79

10-105

11-200

12-32

13-9

14-10

15-11

16-20

17-69

18-278

19-321

20-32

21-67

22-89

23-76

24-67

25-9

26-5

27-7

28-19

29-40

30-55

Directional angles

directional angles are the orientation angles in geodesy. directional angles are angles that report from the north direction of the grid to the direction of the object, clockwise, from 0 to 360. You go from point A to point B, therefore point B is your object (vector AB - shows the direction to the object). Blue - marked north. Black marks the directional angle of the line AB – α_АВ. Directional angles can be right and left.

 

 

First we understand what directional angles are and where they are on our outline.

 

1. Look at your outline

 

 

2. directional angles are angles that report from the north direction of the grid to the direction of the object, clockwise, from 0 to 360. You go from point A to point B, therefore point B is your object (vector AB - shows the direction to the object). Blue - marked north. Black marks the directional angle of the line AB – α_АВ.

 

 

 

3. Directional angles can be right and left.. If you follow the arrow, then you reach point B, then the angle marked in green is on your right, which means it is the right directional angle of line B1.

 

And on the other hand there will be a left directional angle for line B1 (marked in red)

 

4. Now imagine that you have reached point 1 and then go to point 2 along line 12. From here, the right directional angle of line 12 is marked in yellow.

 

5. Imagine walking along an orange arrow

 

 

and so, the figure shows all the right directional angles for lines AB, B1, 12, 23, 34, 45.

 

 

 

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