at what angle is the offset arm to the body of the piece?

7. TOPOGRAPHICAL SURVEYS - PLAN SURVEYING

7.0 Introduction

What is a topographical survey?

i. A survey of your fish culture site can assist you lot practice i of two things: make a map to help you plan your work; or lay out marks on the basis that will guide you as you work.

Site
2.GIF (10199 byte)

2. Topographical surveys will help you to make plans or maps of an expanse that evidence:
  • the primary physical features on the basis, such as rivers, lakes, reservoirs, roads, forests or large rocks; or the various features of the fish-farm, such every bit ponds, dams, dikes, drainage ditches or sources of water;
  • the deviation in height between land forms, such as valleys, plains, hills or slopes; or the departure in height betwixt the features of the fish-farm. These differences are called the vertical relief.

Map
2a.GIF (9416 byte)

Vertical contour
2b.GIF (5505 byte)


What practise topographical surveys involve?

3. The purpose of the first type of topographical survey is to found, on a horizontal plane, the position of one or more points in relation to the position of one or more than other points. To do this, you will measure horizontal distances and horizontal angles or directions. You volition use a method chosen programme surveying, which will be explained in this chapter.

Site
3.GIF (11614 byte)

4. The purpose of the second type of topographical survey is to detect the top (or vertical meridian) of 1 or more points to a higher place a definite horizontal plane. To exercise this, you will measure horizontal distances and pinnacle differences; you may likewise demand to lay out contour lines. You lot will employ a method called direct levelling, which volition be explained in Chapter viii.

Map
3a.GIF (8874 byte)

v. You will acquire how to make plans and maps based on the results of program surveying and straight levelling in Chapter 9.

Contour map
3b.GIF (10466 byte)


Planning your topographical surveys

half dozen. When yous plan a topographical study, the most important rule to remember is that you must work from the whole to the function, keeping in heed all of the work you lot will need to do as yous begin the first steps. Different types of survey require different levels of accuracy, but you should lay down the first points of each survey every bit accurately as possible. You lot volition arrange all the work you lot do afterward to agree with these first points.

Primary points
4.GIF (4510 byte)

Example

You need to programme survey a fish-subcontract site.

(a) Get-go, you must make a  perimeter survey ABCDEA. Besides these summits and boundaries, add together several major points and lines, such as AJ and EO. They run beyond the interior to create right angles, which volition assist you in your calculations. This survey gives the primary survey points, which you should determine and plot very accurately.

(b) Then, lay out minor lines such as FP and TN. They go between the major lines to divide the area intoblocks. This gives you the secondary survey points, which yous may determine less accurately.

(c) Finally, survey details in each block using tertiary points, for which less accuracy is as well acceptable.

Secondary points
4a.GIF (6282 byte)

4b.GIF (9323 byte)


7. The way yous plan a topographical survey will too depend on its purpose. You will apply a planning method like to the one described for soil surveys (encounter Book six, Soil, Department 2.4).

  • First make a preliminary or reconnaissance survey. You lot can use quick methods without worrying also much about high accuracy.
  • Based on the results of this survey yous tin can program and behave out more detailed and accurate surveys, such equally location surveys and, last of all, construction surveys.

5.GIF (27118 byte)


8. The way yous plan a topographical survey will depend on the discipline you lot need to survey, such as:
  • a direct line defined by at least 2 points, such every bit the eye-lines of supply canals, swimming dikes, and reservoir dams;
  • a series of lines related to each other by horizontal angles and horizontal distances, such as the heart-lines of pond dikes in a fish-farm;
  • an expanse of land such as a site chosen for the structure of a fish-subcontract (also run across step 6 in a higher place)

Centre-line of a dike
6.GIF (7412 byte)

Adjacent pond dikes
6a.GIF (4960 byte)

Pond surface area
6b.GIF (5797 byte)

9. In open up land, you will have no issues in plan surveying with the methods explained in the next sections. Any of the post-obit methods should work well. In country with thick forests, withal, you volition not be able to use methods for which you need to see several points at the same time. In such areas, y'all volition also need to rely on existing paths and roads much more than than usual, and you might fifty-fifty demand to articulate lines of sight through the vegetation.

Clearing land for a survey
7.GIF (16452 byte)


What are the master methods used in program surveying?

x. In that location are four primary methods used in program surveying. You tin gear up the position of a point on the horizontal plane:

  • from a single known point, by traversing, a method in which you lot measure horizontal distances and azimuths along a zigzag line (see Section 7.1);
  • from a unmarried known signal, by radiation, a method in which you measure out horizontal distances and azimuths, or horizontal angles (see Department seven.2);
  • from a known line, by offset, a method in which y'all measure horizontal distances and prepare out perpendiculars (see Department seven.3);
  • from 2 known points, by triangulation and/or intersection, methods in which you measure horizontal distances and azimuths, or horizontal angles (see Section vii.4).

Open traverse
8.GIF (3052 byte)

Each of these methods will be explained in the adjacent sections. When you are choosing a method, you will also demand to consider which methods are suited to the measuring devices you lot have bachelor. Table ix will help you select the most suitable program surveying method, considering your equipment and abilities, the kind of information you need from your survey and the type of terrain you are surveying.

Radiation survey
8a.GIF (5161 byte)


 TABLE ix
Plan surveying methods

Section

Method

Basic elements

Suitability

Remarks

vii.1

Traversing, open up, closed

Traverse sections and stations

Apartment or wooded terrain
Longitudinal or cross-section profiles
Compass traverse, rapid reconnaissance and details

Traverse sections may be of equal lengths, longer than 25 chiliad and are best at 40 to 100 grand
Conscientious checks for errors needed

7.2

Radiating, central and lateral stations

Observation station

Small land areas
For location of points only

All points should be visible and at angles greater than 15�

7.3

Offset

Chaining line

Details surveys next to a chaining line

Chaining line should not exist more than 35 thousand away

vii.4

Triangulation

Base line

Very large land areas
Hilly or open terrains
Inaccessible locations

Often combined with traversing and needing elaborate preliminary reconnaissance
Best with angles of virtually 60�

seven.5

Airplane-tabling, traversing, radiating, triangulation

Reconnaissance and details surveys
Open terrain and proficient weather
Irregular lines and areas

Mapping is done in the field

Rapid method after practice


7.1 How to survey by traversing

What is a traverse?

1. A traverse line or traverse is a serial of straight lines connecting traverse stations, which are established points forth the route of a survey. A traverse follows a zigzag course, which means information technology changes direction at each traverse station.

2. Traversing is a very mutual surveying method in which traverses are run for plan surveying. It is especially suitable to use in flat or wooded terrain.

Closed traverse
10.GIF (4382 byte)

3. At that place are two kinds of traverses:

  • if the traverse forms a airtight figure, such as the boundary of a fish-subcontract site, it is chosen a closed traverse;
  • if the traverse forms a line with a start and an end, such as the centre-line of a water-supply canal, it is called an open up traverse.

Open up traverse
10a.GIF (3170 byte)


Which method should be used for traversing?

4. When y'all survey by traversing, you demand to brand measurements to detect information on:
  • the altitude betwixt traverse stations;
  • the management of each traverse department.

five. If you lot accept a theodolite (also chosen a transit), you can make a transit traverse. Yous will measure horizontal distances using the stadia method (see Section two.8), and you will measure horizontal angles using the method described in Section iii.5 for use with the theodolite. Similarly, but with much less accuracy, yous could utilise a clisimeter (encounter Section 2.vii) and a graphometer (see Section three.i).

11a.GIF (5134 byte)

11_a.GIF (5688 byte)



Choosing the route of a traverse

10. When selecting the route a traverse will follow, you should try to:

  • make each direct section of the traverse as long as possible (forty-100 m);
  • brand the traverse sections as equal in length as possible;
  • avoid very short traverse sections - under 25 m long;
  • choose lines which can be measured hands;
  • choose lines forth routes which avoid obstacles such every bit heavy vegetation, rocks, standing crops and property.

13.GIF (6533 byte)

13a.GIF (6967 byte)


Surveying an open traverse with a magnetic compass

11. Yous demand to survey traverse AF for a future h2o supply culvert. First, walk forth the traverse. Marking its course by placing high stakes nigh every fifty chiliad. If necessary, place additional stakes at important traverse stations, such every bit where the traverse changes direction, where hills or other changes in pinnacle reduce visibility between traverse stations, or where there are item mural features such as a route, a river, or rocks.

Mark the main points
14.GIF (5914 byte)

12. If necessary, clear any tall vegetation from the path of the traverse, so that you lot will be able to see each marked point from the one earlier information technology.

Clear the path and mark details
14a.GIF (10756 byte)


13. Beginning traversing at the starting time bespeak A. Remove the ranging pole and stand at point A. With the magnetic compass, mensurate the azimuth* of the line joining signal A to point B, the side by side visible indicate. Point A becomes station 1. The management y'all measure from there to point B, or station 2, is called a foresight* (FS) considering you are measuring forward. Note downwardly this value in a table (see pace 17).

FS=AB
15.GIF (6656 byte)

fourteen. Replace the ranging pole at station 1 (indicate A) and move to station 2, while measuring the horizontal distance AB past pacing or chaining. Note this altitude down in the table (see footstep 17).

Distance AB
15a.GIF (5906 byte)


15. At station 2 (point B), remove the ranging pole and stand over the bespeak holding the compass. Expect dorsum at station 1 and measure the azimuth of line BA, which is called a backsight (BS). Then expect forward at the next point C, or station three, and mensurate the azimuth of line BC, a foresight (FS). Measure distance BC while moving forrad along the traverse. Note these values down in the table (see step 17).

BS = BA
16.GIF (5553 byte)

Note: the difference between the foresight and backsight should be 180�. A departure of just 1 or 2 degrees between the FS and BS is acceptable and may be corrected later (come across step 19). If the error is greater, you should brand the measurement again before moving on to the side by side station.

FS = BC
16a.GIF (5529 byte)

16. Repeat this procedure, measuring horizontal distances from station to station and measuring two azimuths (a BS and a FS) for each point. Yet, from the last station at the end of an open traverse, y'all will only have a BS measurement, just every bit you had only an FS from station 1.

Note: if the land slopes and you need to employ a more accurate method, you can apply a special method to measure or summate horizontal distances (see Sections 2.half dozen and four.0).

Altitude BC
16b.GIF (5312 byte)

17. You should carefully note downwards all the measurements you lot have made in a field book. You lot can use a tabular array like the one shown in the instance or you lot can make a rough sketch of the open traverse on square-ruled millimetric paper, noting downwards your measurements side by side to the correct stations in it.

Example

Measurements observed for the first of compass traverse AX made of 12 stations:

Stations

Distance (m)

Azimuths (degrees)

Calculated difference FS/BS (degrees)

From

To

Individual

Cumulative

FS

BS

1

2

53.half dozen

53.six

82

261

179

2

three

47.3

100.ix

120

301

181

3

4

65.ii

166.1

66

248

182

4

five

56.8

222.nine

51

229

178

5

vi

61.ane

284.0

91

270

179

...

...

...

...

...

...

...


17.GIF (30962 byte)


eighteen. Y'all must e'er check on such a compass traverse, specially if you lot practice not know the exact position of its starting and catastrophe stations beforehand from studying previous surveys or existing maps. To bank check on your compass traverse, do the post-obit:

Observed traverse AX
18.GIF (2367 byte)

  • if the starting and ending traverse stations A and X are unknown, check on your first traverse by making a second compass traverse in the opposite direction, from Ten to A;

Observed traverse XA
18a.GIF (2395 byte)

  • if these two stations A and X are known, draw the traverse on paper as you have measured it. To do this, use a protractor for the angles (meet Section 3.3) and an adequate scale for distances (see Department 9.1). Using the known station A, compare the position of the last station X with its known position X'. If this comparison shows a big error ( the closing fault XX'), y'all will demand to adapt the observed traverse AX. To do this, see the next step.

Observed traverse AX
18b.GIF (3839 byte)


Adjusting an open traverse

19. To adjust the observed traverse AX for the endmost error 20', it is easiest to use the graphic method, equally follows:

19.GIF (2932 byte)

  • on paper, depict a straight horizontal line AX equalling the total measured length of the observed traverse, drawn at an adequate scale;
  • at X, draw XX' perpendicular to AX and in proportion, in length to the endmost error, using the aforementioned calibration equally above;

19a.GIF (2746 byte)

  • bring together A to X' with a direct line;

19b.GIF (2611 byte)

  • on AX, detect lengths AB, BC, CD, DE, and EX in proportion to the field measurements, using the same calibration as above;

Find the intermediate points BCD and Due east
20.GIF (2583 byte)

  • at points B, C, D, and E, draw lines BB', CC', DD' and EE' perpendicular to AX;

Draw perpendiculars BB', CC', DD' and EE' 20a.GIF (4523 byte)

  • measure out the lengths of lines BB', CC', DD' and EE', which bear witness past how much y'all need to arrange each traverse station;

Measure out the perpendiculars
20b.GIF (3387 byte)


  • adjust your drawing of the traverse by:
    • joining the observed position Ten of the final traverse station to its known position X';

Draw Xx'
21.GIF (2784 byte)

    • drawing short lines parallel to 20' through stations B, C, D and E;

Draw the other segments parallel to Xx'
21a.GIF (2666 byte)

    • marker on these lines the calculated adjustments BB', CC', DD' and EE', using the same scale as to a higher place;

Mensurate the distance BB', CC', DD' and EE'
21b.GIF (3466 byte)

    • joining points A, B', C', D', East' and X' to find the adapted traverse.

Join the points of the adjusted traverse
21c.GIF (4138 byte)


Surveying a closed traverse with a magnetic compass

20. Y'all can lay out a closed traverse ABCDEA in exactly the same way as an open traverse, except that you will connect the last betoken to the initial signal A.

21. To survey an irregular enclosed expanse of land ABCDEA (such as a site for a fish-farm) by compass traversing, continue equally follows:

22.GIF (7674 byte)

  • walk over the area and locate traverse stations A, B, C, D and E;

22a.GIF (10100 byte)

  • marking them with ranging poles or stakes;
  • if necessary, articulate away any vegetation and then that you tin see stations A and B, B and C, C and D, etc. from each other;

22b.GIF (7237 byte)

  • remove the ranging pole from point A (station 1) and stand up at this station. Find azimuth AB- a foresight- from the centre of this station with the compass. Replace the ranging pole exactly at station 1;

23.GIF (7017 byte)


  • measure altitude AB with a measuring line;

23a.GIF (6464 byte)

  • at point B (station ii), measure azimuth BA - a backsight and azimuth BC - a foresight;

24.GIF (6124 byte)

  • measure altitude BC as yous motility to point C (station three);

24a.GIF (5182 byte)

  • proceed in the same mode at stations 3, 4 and 5;
  • when you reach bespeak A again (station i), measure azimuth AE - a backsight.

24b.GIF (6145 byte)

Note: during the traverse, you may exist able to see 1 or more boosted stations from the station where you are continuing. If you do, measure the azimuths of the lines running toward them. An example is line BD from station B. These boosted observations are useful checks on your work.

25.GIF (7448 byte)

25a.GIF (4477 byte)

22. In a field book, carefully annotation down all your measurements. You can use a table similar to the i suggested for the open traverse (encounter step 17). Yous should also make a sketch of the traverse, on a split up square-ruled page, and write in the measurements. At the same time, check to come across that the foresights and backsights differ by 180�.

Example

Y'all have surveyed site ABCDEA with a closed traverse and your field notes are equally follows:

Stations

Distance (thousand)

Azimuths (degrees)

Calculated deviation FS/BS (degrees)

From

To

FS

BS

1

2

90.eight

136

315

179

two

3

53.5

78

259

179

3

4

68.7

347

168

179

4

5

44.6

292

110

182

5

1

63.seven

241

63

178


26.GIF (88975 byte)

23. You have learned that in any closed polygon* of N sides, the sum of all the interior angles should be equal to (Due north - 2) x 180� (see Section three.0). This dominion will assist you to check your azimuth measurements subsequently yous calculate the interior angle for each station (meet Department 3.2, steps 10 and xi).

Example

Using the observations given in the previous example, calculate the sum of the interior angles of polygon ABCDEA every bit follows:

Station

Azimuth differences (degrees)

Interior angle (degrees)

1

AB -AE = 136- 63

73

2

(BA - BC = 315 - 78 = 237)

123i

3

CD - CB = 347 - 259

88

4

DE - DC = 292 - 168

124

5

EA - ED = 241 - 110

131

Sum of interior angles

539

1 Since the magnetic due north falls inside the angle, you lot must calculate it as 360� - (the azimuth deviation) or 360� - 237� = 123�,

According to the full general rule, the sum of the 5 interior angles should exist equal to (five-ii) 10 180� = 3 x 180� = 540�, which closely agrees with the above event.

Check: Sum of angles = (five - ii) x 180� = 540�
27.GIF (8726 byte)

Adjusting a closed traverse

24. Starting from station 1 (A), draw the observations of your compass traverse on square-ruled newspaper. Use a protractor to measure the azimuths (see Section 3.iii), and an acceptable calibration for the measured distances (see Section 9.one). If there is a closing mistake, adjust your drawing by using the graphic method described for an open traverse (see footstep 19, above).

28.GIF (13522 byte)

Example

For the to a higher place example, the endmost error is FA. Adapt information technology as foIlows:

  • using the correct calibration, draw a horizontal line AF whose length equals the total measured length of the observed traverse;

Draw AF to calibration
29.GIF (3102 byte)

  • at F, draw FA' perpendicular to AF, using the aforementioned scale as in a higher place. The length of FA' should be in proportion to the closing error;

Describe FA' perpendicular to AF
29a.GIF (2645 byte)

  • join A to A' with a straight line;

Depict AA'
29_a.GIF (2649 byte)

  • on AF, depict lengths AB, BC, CD, DE and EF in proportion to the field measurements, using the same scale as above;

Find points BCD and E
29_b.GIF (2996 byte)

  • at points B, C, D, and Due east draw lines BB', CC', DD' and EE', which show how much y'all must adapt each traverse station;

Draw and measure the perpendiculars
29_c.GIF (5100 byte)


  • adjust your drawing of the traverse by:
  • joining the observed position F of the last station to its known position A ;

Describe FA
30.GIF (2855 byte)

  • drawing brusk lines parallel to FA through the other stations B, C, D, and E;

Describe the other segments parallel to FA
30a.GIF (2275 byte)

  • marker on these lines the calculated adjustments BB', CC', DD' and EE', using the same calibration as above;

Measure the appropriate lengths
30b.GIF (2665 byte)

  • joining points A, B', C', D', East' and A to make up one's mind the adjusted traverse.

Join the points of the adjusted traverse
30c.GIF (4173 byte)


  7.two How to survey by radiating

What is a radiating survey?

1. When yous plan a survey by radiation, you will cull one convenient ascertainment station, from which you volition exist able to see all the points you lot need to locate. This method is excellent for surveying small-scale areas, where you lot need to locate only points for mapping.

31.GIF (6068 byte)

two. When yous make a radiating survey of a polygonal* site, you connect the observation station to all the summits of this area past a radiating series of sighting lines. In this way, a number of triangles are formed. You lot volition measure i horizontal angle and the length of two sides for each triangle.

31a.GIF (8915 byte)


Choosing the observation station

three. You should exist able to accomplish the observation station hands. This station should also exist a located so that:

  • you lot can see all the summits of the area you demand to survey;
  • you can measure the lines joining it to these summits;
  • you lot tin can measure the angles formed past these lines.

four. When choosing the ascertainment station, yous should be especially careful to avoid any points from which very small radiating angles (less than 15 degrees) might result.

32.GIF (13501 byte)

32a.GIF (11515 byte)

v. The observation station 0 can be in a fundamental position, within the polygon to be surveyed. In this instance, you will measure as many triangles as in that location are sides of the polygon.

Number of triangles = number of polygon sides
Northward = five

33.GIF (3885 byte)

vi. The observation station 0 can besides exist in a lateral position (off to the side). In this case, 0 will exist ane of the summits of the polygon*. The number of triangles you need to measure will be the number of sides to the polygon, minus 2.

Number of triangles = number of sides minus 2
N = 5 - ii = 3

33a.GIF (3544 byte)


Choosing a method for radiating surveys

7. If you accept a transit (a theodolite), you tin can measure horizontal angles more precisely than with the other instruments (see Department 3.v). A transit equipped with stadia hairs can too be used to measure distances apace (encounter Department 2.8).

34.GIF (10916 byte)

8. If you have a magnetic compass, y'all can use it to measure the azimuths of the horizontal angles at the observation station (see Department iii.2). Y'all will usually measure horizontal distances by chaining (meet Section 2.6). To learn further details of this elementary method, see steps 10-14, below.

34a.GIF (6774 byte)

9. If y'all have a plane-table, you can use information technology for mapping the area directly from the observation signal (encounter Section nine.2). You lot will then ordinarily measure the horizontal distances by chaining.

34b.GIF (8593 byte)


Carrying out a radiating plan survey with a magnetic compass

10. Walk over the area you lot need to survey and choose a user-friendly key observation station 0. Clearly marker all summits of the polygon. Clear whatsoever high vegetation forth the future radiating lines of sight.

35.GIF (9463 byte)

11. With your magnetic compass, accept a position over the central station 0. Mensurate the azimuths of the six radiating lines OA, OB, OC, OD, OE and OF.

12. Measure out the horizontal distance over each of these lines.

35a.GIF (8462 byte)

13. Carefully note down all these measurements in your field-book. You can utilize the get-go 3 columns of the tabular array given in the example. So make a sketch of the area, with the lines and angles and their measurements, on square-ruled paper.

14. Calculate the value of the angles between successive points (see 4th column of the table and Section 3.2). Check this by adding all the values: if you lot notice 360� or a figure shut to that, the calculation is correct.

Example

Table for field observations from a radiating survey.

Line

Distances (m)

Azimuths (degrees)

Angles (degrees)

From

To

O

A

65.4

265

137ane

O

B

58.7

42

88

O

C

51.5

130

70

O

D

89.8

200

23

O

E

41.three

223

11

O

F

43.8

234

31

A

-

265

-

Sum of the interior angles:

360

1Since magnetic north falls inside angle AOB, information technology is calculated as 360� minus the difference of the azimuths.

36.GIF (6935 byte)

36_a.GIF (22807 byte)


7.three How to survey by offset

What is an starting time?

1. In programme surveying, an offset is a straight line which is laid out perpendicularly to a line you are chaining. ii. Offsets are mainly used to survey details of the terrain (such as wells, rocks or trees) which are located close to a chaining line. By and large, offsets are less than 35 chiliad long.

37.GIF (6962 byte)

37a.GIF (4299 byte)


Surveying by kickoff

3. While chaining line AB, you see two points of involvement on either side of it, X and Y, whose exact positions you lot want to record.

38.GIF (7947 byte)

4. From these points, driblet XC and YD perpendicular to line AB (see Section 3.vi). Lines XC and YD are offsets.

Drop perpendiculars from the points of interest
38a.GIF (5242 byte)

five. Measure horizontal distances AC and CD on line AB. Measure horizontal distances CX and DY forth the offsets.

vi. From these measurements you can plot the exact positions of points X and Y on paper, if line AB is known.

Measure the distance to plot the points
38b.GIF (3626 byte)


  7.4 How to survey by triangulation

What is triangulation?

i. If y'all use the triangulation method, you will grade consecutive triangles, starting from two known points which you tin can see from each other. The directly line joining these two points is chosen the base of operations line.

Case

A and B are 2 points whose positions yous know. Therefore, you can easily survey the baseline AB to discover the measurements of the horizontal altitude and magnetic azimuth. AB is 123 m long and azimuth AB = 150�.

39.GIF (25266 byte)

2. To determine the position of a new point C by triangulation, this new signal is joined to the known base line past two new lines, forming a triangle. You can and then observe the position of the new signal:

  • either by measuring the distances of the lines running from the base line to the point;
  • or by measuring the azimuths of the 2 new direct lines running from the points A and B to indicate C.

Measure distances Ac and BC or...
40.GIF (3878 byte)

Instance

It you need to determine the position of C, lay out lines AC and BC from base line AB. Then you can:

  • either measure horizontal distances Air-conditioning = 166 m and BC = 156 one thousand to find intersection betoken C;
  • or measure Az AC = 87� and Az BC = 43� to discover C at the intersection bespeak of two lines drawn with these azimuths.

... measure the azimuths of lines Air conditioning and BC
40a.GIF (3366 byte)

iii. To find the positions of other new points, use the same procedure. Equally you find the positions of new points, use the most user-friendly existing line equally the new base line and class new triangles as yous work.

Use BC as the base line for new triangle BCD
41.GIF (3001 byte)

Example

If you lot demand to determine the position of D, layout triangle BCD and use BC as the base line. Similarly, to determine points E, F and 1000, employ base of operations lines CD, DE and EF successively.

Go on making triangles until you take surveyed the whole site
41a.GIF (5409 byte)


Using the triangulation method

4. On terrain with many obstacles such every bit hills, marshes or loftier vegetation, where traversing would exist difficult (see Department vii.i), you can utilize the triangulation method successfully.

v. When you are traversing, and cannot measure out a line straight, you can use the triangulation method instead.

6. Triangulation makes locating points on opposite sides of a stream or a lake very easy.

A good site for a triangulation survey
42.GIF (10494 byte)

Using the triangulation method in the field

7. The simplest mode to utilise the triangulation method in the field is with a plane-tabular array(see Section 7.5). You will learn how to survey past triangulation, using a aeroplane-table, in Section 9.2.

8. When using the triangulation method, avoid very big angles (over 165�) and very small angles (under 15�). The method works best with angles of about 60�.

A plane-table is useful in triangulation
42a.GIF (12299 byte)


7.5 How to employ the aeroplane-table

What is a plane-table?

i. A plane-table is a horizontal drawing-board mounted on top of a vertical support. You use it with a sighting device, a spirit level and a magnetic compass.

Simple plane-table
43.GIF (20728 byte)

Making a very simple aeroplane-table

two. You tin make a very elementary plane-tabular array for reconnaissance surveys from a wooden board and a strong pole.

3. Get a 50 x 60 cm board of soft wood, most 2 cm thick. With sandpaper, smooth one of its surfaces well until it is very polish. Draw two diagonal lines lightly across this surface to find the centre of the lath.

44.GIF (16472 byte)

4. Get a straight wooden pole most v cm in diameter and i yard long. Shape one stop into a signal. This will be firmly driven into the basis at the ascertainment point when you use the airplane-table.
v. Preferably using a brass spiral, fix the board, smooth side up, by its centre-indicate to the peak of the pole.
6. You tin can make a unproblematic sighting device from an ordinary ruler about l cm long by driving two thin nails vertically into it along the eye-line for sighting.

Make a sighting device
45.GIF (3954 byte)

7. Yous will also demand a simple magnetic compass to use with the plane-tabular array. If you lot have a spirit level, apply it to prepare the top board horizontally. Or merely lay a rounded object such equally a small brawl, a glass marble or a pencil on the board's meridian surface. When the object remains all the same, the board is horizontal.

Make certain the board is horizontal
45a.GIF (8061 byte)


Making an improved airplane-tabular array

8. To survey more precisely, you lot will need a more complicated airplane-table than the i just described. This airplane-table volition be mounted on a tripod (a 3-legged support) and then that:

  • you can alter the spread of the tripod's legs to adapt to crude terrain,
  • you can accurately place the drawing board in a horizontal position;
  • you can hands orient and rotate the drawing board.

9. You can build a tripod with legs fabricated out of single pieces of wood, or with adjustable legs. A tripod with adjustable legs is more difficult to make, but it is better since you lot tin set up the plane-tabular array more than hands on sloping ground by changing the length of the legs.

An improved plane-table
46.GIF (13707 byte)

10. A plane-tabular array with a normal tripod is adequate for surveying horizontal areas and areas with small gradient gradients, which you must often survey in aquaculture. To make this type of plane-table, you lot will demand the post-obit materialsane:
  • 1 board of soft wood, about twoscore x 55 cm and 2 cm thick
  • three pieces of forest, almost 2.5 x four.5 cm, and
    1.four m long;
  • three blocks of wood, nearly ii.5 10 4.5 cm, and seven cm long;
  • 2 circular pieces of woods, 15 cm in diameter and 2.5 cm thick;
  • several nails or woods screws, both 3.v to 4 cm long and 6 to 6.five cm long;
  • four bolts, 6 mm in bore and about 6 cm long;
  • four washers and four fly basics for the bolts.

1Adjusted from Using Water Resource, Maryland, Us, VITA Publications, 1977, pp. 137-140.

47.GIF (29302 byte)

11. Get a slice of forty x 55 cm plywood 2 cm thick to use for the drawing board. If the plywood you have is thinner than 2 cm, make two battens (wooden supports) from two pieces of forest 30 x 8 cm and 2 cm thick. Attach these battens parallel to the 40 cm sides of your board, a few centimetres in from each side. The wood you utilize for the lath should be soft enough to allow drawing pins and ordinary pins to go in easily. Y'all should smooth the top of the board with sandpaper if the surface is irregular.

If the board is sparse, strengthen it with battens
48.GIF (16696 byte)

Sand the surface shine
48a.GIF (13228 byte)

12. Brand the 3 legs from the 1.four yard pieces of wood. Shape each into a signal at one stop. On the other cease- face up of each leg, mark a eye-line parallel to the two.five cm sides. Go on this line 5 cm down either side of the leg. At these two points, mark a centred perpendicular line 2.five cm long; connect the end-points of this ii.v cm line upwards the sides of the leg and over the top. Cutting out this block y'all have marked, which will measure two.5 x 2.five x 5 cm, and discard it. Circular off the edges of the two remaining "prongs" of wood which face toward the ii.five cm side of the leg, using a knife and sandpaper, for example.

13. On these prongs, drill a 6 mm pigsty at a point 1.3 cm from the pinnacle of the leg.

49b.GIF (15131 byte)

Cut out the blocks
49.GIF (7377 byte)

Shape the ends into points
49a.GIF (6595 byte)

Round the tops and drill two holes
49c.GIF (5043 byte)


14. Brand the rotating connection between the cartoon board and the legs with the two circular pieces and the 3 small blocks of wood. Drill a 6 mm pigsty in the middle of one of the 15 cm wooden circles. Put a 6 mm commodities through the pigsty making sure the caput of the bolt is even with the superlative surface of the circle.

Put the bolt through the centre of the disc
50.GIF (4999 byte)

15. Find the centre of the lower surface of the cartoon board by cartoon ii diagonals across information technology from opposite corners. Concord the wooden circle on this side of the lath, with the caput of the bolt touching the center mark. Nail or spiral the wooden circle in identify.

Nail the disc to the lath and so that the bolt sticks up
50a.GIF (7960 byte)

16. Take the second 15 cm circle and mark the points where yous will attach the legs. To practice this, get-go draw two perpendicular lines across the circle. They should intersect at the exact centre of the circle. Call them diameters a and b. With a protractor, using line b as the 0 to 180� line, describe two more lines from the centre of the circle to the edge at 45� and 135�. Call them radiuses c and d. They should divide ane one-half of the circle into four equal, wedge-shaped sections. Then drill a 6 mm hole in the center of the circumvolve.

51.GIF (8212 byte)

51a.GIF (8554 byte)

51b.GIF (8003 byte)

17. Drill a half dozen mm pigsty on the centre line of the 4.five x 7 cm face of each 7 cm wooden block, ane.iii cm in from ane end. Boom or screw these three seven cm wooden blocks to the surface of the second wooden circle, so that they join around the centre-hole in a Y-shape. To practise this, align the middle-lines of the blocks' two.v x seven cm faces over the lines a, c and d that you drew in step sixteen. The ends with the holes should be towards the edge of the circle.

Drill a pigsty in each block
52.GIF (8837 byte)

Attach the blocks to the disc, following
the lines you take drawn

52a.GIF (5893 byte)

eighteen. Place this wooden circle, with the blocks facing you, confronting the circle already stock-still to the underside of the board. Laissez passer the commodities in the first circle through the centre-hole of the 2d circle. Add a washer and a fly nut to it and tighten them securely.

Mountain the disc on the lath
52b.GIF (9870 byte)

19. Align the holes in the three legs with the holes in the iii blocks of forest on the underside of the board, and attach the legs with bolts, washers and wing nuts to the blocks. Your airplane-table is now set to use.

20. You lot will also need a pocket-size spirit level, a magnetic compass, a sighting device chosen an alidade. You take already learned a i kind of alidade (run into Section 3.1), but this one volition be slightly different.

53.GIF (31020 byte)


Making your own alidade

21. With the plane-tabular array described in a higher place, y'all should use an alidade about twoscore cm long. Get a straight strip of forest twoscore cm long, 5 cm broad and 0.5 to 1 cm thick. Detect the centre-line, then mensurate five cm from each end and draw a line from the edge of the alidade to the centre-line. Cut out the section you take marked off.

54.GIF (10283 byte)

22. Get a clean, empty metallic tin and remove its acme and lesser. Cut this tube vertically and flatten it out to make a canvass of metal.

23. From this sheet, cut out 2 pieces 5 cm x 12 cm each. Mark the centre-line lightly on each, using a smash to scratch the line.

54a.GIF (9509 byte) 54b.GIF (10475 byte)

54c.GIF (8506 byte)

24. On one of these pieces, cut an 8 cm slit forth the center line, starting nearly ane cm in from the five cm edge. 25. On the 2d piece, cut out a 3 cm x viii cm window, as shown in the drawing.

55.GIF (4055 byte)

55a.GIF (6495 byte)

26 . On the piece with the window, brand a minor hole at each cease of the window "frame", along the center-line. Thread a thin line (such as wire or nylon line-fishing line) through these two holes and knot the ends at the back. This line should now exactly follow the centre-line of the window.

55b.GIF (5591 byte)


27. On each metal piece, use a smash to depict a adequately deep line perpendicular to the eye-line, at a betoken 2 cm from the end without a slit or window. So make three small holes parallel to this line and betwixt the line and the finish of the piece, using a hammer and nail. Sharply curve this end of the metal along the deep line, until it forms a correct angle with the rest of the piece.

56.GIF (7900 byte)

28. Adhere the metal pieces to the ends of the wooden strip you prepared in footstep 21. Hold them in place with a small screw in each of the holes you lot have made in the metallic. Make certain that:
  • the vertical sides of the metal pieces are at right angles to the straight edge; and
  • the centre-lines of each end piece ( marked by the slit and the wire) line up with the center-line of the wooden strip.

You volition use the alidade set flat on the plane-tabular array. You lot volition sight through the slit at the wire. You will describe the line along the eye-line of the wooden strip.

56a.GIF (8534 byte)

Using the aeroplane-table

29. Yous can employ the plane-table in ii different means, depending on the type of survey you are making:
  • in reconnaissance surveys, to make maps and plans speedily in the field;
  • in later on surveys, to fill up in details afterward you have adamant the primary points.

The aeroplane-tabular array tin also exist used for measuring horizontal angles.

30. Earlier you plan survey with the plane-table, you will demand to:

  • prepare a piece of drawing newspaper on the top of the lath;
  • set the plane-tabular array up over the station point;
  • level the cartoon board, or go far horizontal;
  • orient the drawing board to face the line you want to survey.

Yous will learn more than well-nigh each of these procedures later on (see steps 34-47).

57.GIF (16542 byte)


31. When you are ready to start surveying with your plane-table, you will and then:

  • sight with the alidade at a betoken you accept chosen (a foresight);

58.GIF (5757 byte)

  • depict this line of sight on the drawing board with a well-sharpened pencil that has a hard lead;
  • measure the horizontal distance from the station to the point;
  • transfer this distance to the line you take drawn, using an appropriate scale;
  • if necessary, motility to some other station, and take a backsight along the line you have drawn;
  • repeat the above procedure for all the lines y'all demand to survey,.

You lot will learn more than nigh each of these procedures afterwards (see Chapter ix).

58a.GIF (13538 byte)

What are the advantages of plane-tabling?

32. Compared with other methods of plan surveying, aeroplane-tabling is better in some means considering:

  • it is the only method with which y'all can make a plan or map in the field;
  • you need to find fewer points, every bit yous describe the map while you survey;
  • you can plot irregular lines and areas fairly easily and accurately;
  • you lot can work apace, in one case you learn how to utilize the method;
  • you do not have to measure angles, and then that y'all avoid several possible sources of fault;
  • yous plot everything in the field, and so avoid missing any features you need to measure;
  • you tin easily check on the location of points you have plotted.

58b.GIF (13468 byte)


What are the disadvantages of plane-tabling?

33. Several disadvantages to plane-tabling are that:

  • the airplane-table and its extra equipment are heavy and adequately bad-mannered to carry;
  • learning how to use the plane-tabular array correctly takes some time;
  • you tin can only utilise the method in fairly open up country, where you tin encounter almost of the points you are surveying;
  • you cannot use the method in bad weather weather condition, such as heavy rains or loftier winds.

59.GIF (13533 byte)

Roofing the lath with cartoon newspaper

34. You should try to detect the best quality drawing paper possible to utilise with the plane-table. Since the paper volition exist exposed to outdoor conditions, you should set it to make information technology more resistant to changes in the humidity of the air. With a wet cloth, lightly dampen the newspaper and dry information technology several times before you employ information technology. This is called seasoning the paper.

Note: exist careful not to make the paper also wet when you season information technology.

35. Cut the sheet of drawing paper to a size 20 cm larger than the dimensions of your drawing board.

36. Cut the 4 corners of the newspaper off diagonally. To exercise this, measure twenty cm from each corner forth its two sides, and marker the points. Join these points past diagonal lines, and cutting forth these lines.

59a.GIF (11097 byte)

37. For the last time, slightly dampen the back of the drawing sheet, and then identify it over the lath. Stretch information technology well (taking intendance not to tear it) and secure the edges under the board with drawing pins. This will go on the paper from moving and preclude the wind from getting underneath information technology.

60.GIF (5933 byte)

38. If you program to piece of work in the field for several days with the same slice of drawing paper, you should protect it by covering it with a sail of smooth, heavy paper. As you work in the field, yous can tear off pieces of this cover sheet to expose the drawing newspaper as you need it.

39. You lot should keep the plane-table in a waterproof canvas bag when yous carry it in the field.

60a.GIF (6098 byte)


Setting up the aeroplane-table

40. If you decide to offset the survey from a selected station, first fix the plane-table over this station.

Annotation: you may need to set upwardly the plane-tabular array then that a point drawn on information technology is exactly over a corresponding ground point. You tin can use a V-shaped metal arm and a plumb-line, which you tin can easily make yourself.

61.GIF (10323 byte)

Otherwise, y'all can apply calipers and a plumb-line. The metallic arm or calipers should be placed with one tip touching the point on the plane-table and the other tip on the underside of the table. Hang the plumb-line from the point indicated on the underside of the table, and motion the table until the plumb-line is directly over the ground point.

41. Spread the tripod legs well apart, and constitute them firmly in the basis. The drawing board should be waist-high, then that you may curve over information technology without resting against information technology.

61a.GIF (18841 byte)

42. Rotate the tabular array top so that the newspaper is in a position that allows you to draw the whole area y'all demand to survey on it.

62.GIF (9642 byte)

43. Choose the scale you volition use (come across Section nine.one), making sure it will allow you to plot even the about distant point on the newspaper. You can first walk rapidly over the terrain you volition survey to bank check the distances by pacing so you tin determine on the right scale to utilize (see Section 2.2).

62_a.GIF (4445 byte)
Level the table-superlative in both directions

44. Level the board with the spirit level, making it as horizontal as possible. To practise this, first place the spirit level along one side of the board, parallel to two legs of the tripod and adjust the table to a horizontal position. Then place the level along the side perpendicular to that pointing toward the third leg of the tripod and adjust once more. Echo this process until the lath is horizontal.

62_b.GIF (4935 byte)


Orienting the plane-table

45. You lot can orient the airplane-table either by using a magnetic compass or by backsighting. Usually, the board is first oriented roughly past compass, and and so more than precisely by backsighting.

63.GIF (2121 byte) 63a.GIF (2062 byte)

46. If you use a magnetic compass (see Section iii.2), rotate the compass until the direction of the needle lines up with the direction of south-north, or the 180� to 360� direction. Draw a line on the drawing newspaper showing this direction. Draw some other line in the same management on another part of the paper. Mark the n direction on these lines with an arrow and the alphabetic character N.

Note: remember to keep away from any materials which could accept an result on the magnetic needle of the compass (come across Department 3.two, step 17).

63b.GIF (3748 byte)

47. If at a surveying station you know the direction of a line which you have already plotted on the lath, you tin use that line to orient the airplane-table by taking a backsight. Information technology is the most precise way of orienting the plane- table and you lot should use information technology whenever possible.

63_a.GIF (6088 byte)

Example

From station A, y'all have already plotted line ab. Set up the plane-table at station B. Place the centre-line of the alidade along line ba on the board. Rotate the board until the line of sight on the alidade lines up with line BA on the footing. The table is now oriented. You can proceed to survey and plot new points.

Station B
63_b.GIF (10614 byte)

Airplane-tabling methods for reconnaissance surveys

48. During reconnaissance surveys, yous can use aeroplane-tabling to rapidly map out areas and open traverses. The survey will go along past one of the methods described before in this chapter or a combination of them. This method may be:

  • traversing (see Section 7.one);
  • radiating (see Department 7.2); or

64.GIF (9663 byte)

64_a.GIF (5859 byte)

  • triangulation (see Section 7.4).

You lot will learn more about mapping with a airplane-table by these surveying methods in Affiliate 9.

64_b.GIF (5246 byte)


Plane-tabling for plotting details

49. When yous accept finished the reconnaissance survey and accurately mapped the main stations, you tin can further use airplane-tabling to locate details such as rocks, buildings, a well or a group of trees.

65.GIF (4570 byte)

fifty. To do this, fix the plane-tabular array at each of the chief stations in plow, and draw sighting lines to each of these features.

51. You can locate each detail on the drawing board past finding the intersection indicate of at least 3 sighting lines. You will not accept to take any more measurements.

ABCD main stations
65_a.GIF (13616 byte)

Example

During a reconnaissance survey you have accurately mapped the fish-farm site ABCDA using your plane-table. You want to add the verbal positions of a rock outcrop Ten and a group of buildings Y. Proceed every bit follows:

  • fix the aeroplane-tabular array over point A, orienting it by backsighting known lines AB and AD;
  • draw lines AX and AY;
  • movement the plane-table to bespeak B, orienting by lines BA and BC and describe line BX;
  • move to point C and draw lines CX and CY;
  • motion to point D and draw line DY;
  • determine the position of X at the intersection of AX, BX and CX;
  • determine the position of Y at the intersection of CY, DY and AY.

Site ABCDA
66.GIF (5061 byte)

Sight from point A
66a.GIF (4766 byte)

Sight from bespeak B
66b.GIF (9705 byte)

Sight from signal C
67.GIF (8805 byte)

Sight from point D
67a.GIF (8182 byte)

The intersections decide points X and Y
67b.GIF (9774 byte)


Measuring horizontal angles by plane-tabling

52. You can measure horizontal angles fairly accurately past drawing sighting lines on a aeroplane-table and measuring this bending with a protractor (come across Section iii.iii).

Draw ab
68.GIF (7788 byte)

Example

  • You need to measure angle BAC formed past direct lines AB and Air conditioning, which accept been well-marked in the field. Begin by setting up the plane-tabular array at station A.
  • Place the alidade then that it passes through bespeak a, and sight at point B, and draw line ab.

Draw air conditioning
68_a.GIF (9485 byte)

  • With the alidade passing through point a, sight at point C and describe line ac.
  • Measure angle bac with a protractor.

Measure bac
68_b.GIF (5680 byte)

gunterandise.blogspot.com

Source: https://www.fao.org/fishery/docs/CDrom/FAO_Training/FAO_Training/General/x6707e/x6707e07.htm

0 Response to "at what angle is the offset arm to the body of the piece?"

Post a Comment

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel