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Levelling

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Page 1: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Levelling

Page 2: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

DEFINITIONS

• Level Surface: A level surface is a surface, all points of which are normal to the pull of gravity. I.e. a line at right angles to the string line on a freely suspended plumb bob. The open sea provides a good example of a level surface.

• Horizontal Surface: A horizontal surface is one which passes through a point at right angles to the pull of gravity at that point.

• Datum surface: The reference plane used in surveying is called a DATUM. In this country the main datum surface is the mean sea level at Newllyn in Cornwall and heights above this plane are referred to as being ABOVE ORDNANCE DATUM (AOD).

• Height: The height of a point can be regarded as the distance measured vertically to that point from a level reference plane or surface.

• Reduced level: The reduced level of a point is its height above a reference plane

Page 3: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Flying Levelling Practice • Flying levelling is used when the reduced level of a point is to be found from another point of known reduced level.

• Used to determine a TBM from a OBM or MBM

• Consists of a series of BS and FS only

• Should always “close” the survey back onto the starting point or another OBM

• BS is BACK SIGHT and is the initial staff reading with the staff on a KNOWN LEVEL (e.g. OBM or change point)

• FS is FORE SIGHT and is the staff reading with the staff on a point whose levels you wish to determine.

Page 4: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

First staff position

View through eye piece

Line of Sight

Levelling Staff

A

B

2.195

21.000m

(2.195)

2 2

2 1

This first staff reading onto a known level is termed the BACKSIGHT (BS) reading

NOTE:

Position of staff is

important.

Position of

instrument is only for convenience

Page 5: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Calculations

• The line of sight is termed the HORIZONTAL PLANE OF COLLIMATION (HPC).

• Hence HPC = Known reduced level + BS

• The plane of reference has now been established (HPC)

• i.e. HPC = 21.000 + 2.195

• HPC = 23.195

• The next reading of the staff can be referred to this

• The staff is next placed at the point whose reduced level is desired (B) and

the telescope of the level is rotated to target the new staff position, care

being taken not to alter the adjustment of the instrument (i.e. don’t knock it).

Page 6: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Next staff position

View through eye piece Line of Sight

Levelling Staff

3.195

(3.195)

3 2

3 1

(23.195)

This staff reading onto the point whose desired level is required is termed the FORESIGHT reading (FS).

Page 7: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Calculations

• The new staff reading is taken, 3.195m (say).

• This indicates that point B is 3.195m below the level of the line of

sight or HPC, which was calculated to be 23.195m.

• The reduced level of point B is therefore: -

23.195m – 3.195m = 20.000

Hence Reduced Level = HPC - FS

NOTE: Intermediate sights are treated the same way as

FS except for being booked in the IS column

Page 8: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Booking the Readings

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 KNOWN REDUCED LEVEL AT

PONT A

3.195 20.000 READING AT POINT B

Calculate reduced level at B

Page 9: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Always start with comments on

staff position BS IS FS HPC RL DISTANCE

COMMENTS

21.000 Staff at Point A

Page 10: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Add staff reading in BS column and

in row referring to point A BS IS FS HPC RL DISTANCE

COMMENTS

2.195 21.000 Staff at Point A

Page 11: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Calculate the HPC

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 Staff at Point A

Page 12: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Move staff to B and add comments

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 Staff at Point A

Staff at Point B

Page 13: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Enter reading at B in FS column

and row corresponding to B BS IS FS HPC RL DISTANCE

COMMENTS

2.195 23.195 21.000 Staff at Point A

3.195

Staff at Point B

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Calculate the RL at B

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 Staff at Point A

3.195

20.000 Staff at Point B

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Continuing with the Flying levels

• Having ascertained the level at B we can proceed to move the instrument forward using the recently discovered level at B as our known point. i.e. B now becomes the BS point

• So at B we take both a FS and a BS reading.

• Point B is a “change point” (Use change plate or at least a solid point to rest staff on)

• Note that this means when the instrument is moved the staff stays stationary

• And when the staff is move the instrument stays stationary.

• MOVE ONE or the OTHER – NOT BOTH TOGETHER

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Always use the correct row

Line of Sight

Levelling Staff

B

3.155

20.000m

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 Staff at Point A

3.155 3.195

20.000 Staff at Point B

Page 17: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

And Calculate HPC

BS IS FS HPC RL DISTANCE COMMENTS

2.195 23.195 21.000 Staff at Point A

3.155 3.195 23.155 20.000 Staff at Point B

The HPC now reflects the line of sight in the latest instrument

position

Levelling now proceed by repeating previous actions

i.e. Move staff, take FS, calculate RL,

Move instrument, Take BS, Calculate HPC

etc

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Finding the Target

• Most telescopes have a targeting system along the top of the barrel (similar to a rifle target finder). The telescope should be aimed at the

staff using this targeting system prior to trying to find the staff through the eyepiece.

MOVE TELESCOPE UNTIL TRIANGLE APPEARS

OVER STAFF

Target finder

(Look at this and

beyond towards staff)

Eye-piece

Telescope

Staff Target finder

(In line with staff)

Eye-piece

Telescope

Staff

Page 19: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

LEVELLING SOFFITS

Inverted staff readings

An inverted staff reading can be used to determine the reduced level of a point above the line of sight of the instrument such as a ceiling, underside of a bridge, balcony etc. As the name suggests, the staff is simply turned upside –down, the bottom placed against the point that the level is required, and then read. An important difference between inverted staff readings and other types is that they are treated as negative quantities, both in the booking of the readings and the reduction of the levels.

Page 20: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

Inverted staff example

0.174 2.111

0.738

1.505

3.890

2.192 1.603 1.440

A = 33.550 B C

D E

backsight

foresight

BACK SIGHT INTER-

MEDIATE FORE SIGHT H.P.C. REDUCED

LEVEL COMMENTS

0.174 33.724 33.550 OBM (=33.550) point A

0.738 2.111 32.351 31.613 Point B - c.p.

-[1.603] -[3.890] 34.638 36.241 Point C - Bridge Soffit – Inverted staff - c.p.

1.505 1.440 34.703 33.198 Point D - c.p.

-[2.192] 36.895 Point E - Balcony –Inverted staff

ΣΣΣΣBS ΣΣΣΣFS Last -

First

0.814 BS - FS -2.531 3.345 Check sums: arithmetic OK

3.345

Page 21: Introduction To Levelling Presentation 1libvolume3.xyz/.../introductiontolevellingpresentation1… ·  · 2014-12-25• Flying levelling is used when the reduced level of a point

INTERMEDIATE STAFF READINGS

• Intermediate staff readings are those staff readings taken after

a backsight is read and before a foresight.

• Each reading in turn is subtracted from the collimation level

(HPC) to deduce the reduced level of the point

• The problem with intermediate sights is that the arithmetic

check will only relate to the back sight and the fore-sight

• Hence any arithmetic error could go unnoticed

• Systematic errors due to mal-adjustment of the instrument

cannot be eliminated as in flying levelling where the equal fore-

sight distance and back sight distance compensated for the

mal-adjustment errors

• Instrumental errors of this nature can be eliminated by the use

of a REVERSIBLE LEVEL.

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INTERMEDIATE STAFF READINGS -2

0.174 2.111 0.738 1.603 1.440 1.843

A = 20.450

F

B C

D

E

backsight Intermediate sights

BS IS FS H.P.C. RL COMMENTS

0.738 21.188 20.450 OBM (=20.450) point A

2.111 19.077 Point B

1.843 19.345 Point C

1.440 19.748 Point C

1.603 19.585 Point E

0.174 21.014 Point F (last reading)

ΣBS ΣFS Last -

First

0.738 BS - FS 0.174 0.564 Check sums: arithmetic OK

0.564