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E. D. A. B. C. Transverse survey. Transverse or offset surveys are used to find the area of irregular shapes, such as the field ABCDE to the right. In this method the surveyor: walks along a straight line (eg AD), the transverse line , often a diagonal of the area to be surveyed, .

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Transverse survey

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E

D

A

B

C

Transverse survey

Transverse or offset surveys are used to find the area of irregular shapes, such as the field ABCDE to the right.

  • In this method the surveyor:

  • walks along a straight line (eg AD),

  • the transverse line,

  • often a diagonal of the area to be surveyed,

  • measuring distances along this line and

  • distances to major features, or offsets, when they are at RIGHT ANGLES to the transverse line.

  • For example…


Transverse survey

  • To survey the field ABCDE:

  • Choose any suitable diagonal, ie AD

  • Measure the lengths along the transverse line, ie AP, PQ, QR and RD.

  • Measure the lengths of the offsets, ie BQ, CR and EP.


20+27=47

Field diagrams

When in the field doing the survey the surveyor sketches the information as a field diagram.

  • To complete a field diagram:

  • Start at one end of the transverse line

  • Write down the cumulative distances of the offsets from the starting point

  • Write down the lengths of the offsets, on the left or right, as appropriate.

  • Units are not shown.


J

H

Example 1

a) Complete a field diagram for this field

40

K

28

30

22

15

I

L

20

14

b) Calculate the area of this field.

A1 = ½bh

= ½ × 20 × 14

= 140

A3 = ½ × 28 × 10

= 140

ATOT = 140+384+140+300

= 964u2

A2 = ½(a + b)h

= ½ × (20 + 28) × 16

= 384

A4 = ½ × 40 × 15

= 300


94

D

79

39

C

47

35

B

E

29

27

A

Example 2

Sketch the field represented by this field diagram.

D

15

39

C

  • You may also be asked to:

  • Make a scale drawing of the field

  • Find lengths such as AB or BC.

32

35

B

29

20

E

27

A


Today’s work

Field Diagrams Worksheet

#1, 2, 3, 4


Field Diagram Task

  • On the oval there are two‘irregular fields’ marked with different coloured cones.

  • Use the trundle wheels/tape measures and set squares to measure the offsets for the two irregular fields.

  • Create a notebook entry for the two irregular fields.

  • Sketch the two fields, showing all the appropriate measurements.

  • Calculate the area & perimeter of both fields.


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