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linear_measurementS IN METROLOGY & INSTRUMENTATION
 METHODS OF LINEAR
MEASUREMNENT
 APPROXIMATE METHODS
 CHAIN SURVEYING
 CHAIN
 TAPES
 RANGING RODS
 METHODS USED IN CHAIN SURVEYING
 PRINCIPLE OF CHAIN SURVEYING
 SELECTION OF CHAIN SURVEYING
 OFFSETS
 ERRORS
 TYPES OF ERRORS
 SOURCE OF ERRORS
 There are 3 methods of making linear
measurements.
 1- Direct Method.
 2- Optical Method.
 3- E.D.M Method.
 Pacing.
 Passometer.
 Pedometer.
 Odometer.
 Speedometer.
 Measuring Wheel.
Measuring wheel
pedometer
odometer
Speedometer
passometer
1) Chains
2) Tapes
3) Arrows
4) Ranging Rods and Offset Rod
5) Pegs
6) Plumb- bob
 Metric chain
 Gunters chain or Surveyors chain
 Engineers chain
 Revenue chain
 Steel band or Band chain
linear_measurementS IN METROLOGY & INSTRUMENTATION
TAKING MEASUREMENTS ON CHAIN
TAKING MEASUREMENTS ON CHAIN
 Metric chains are made in lengths 20m and
30m. Tallies are fixed at every five-meter length
and brass rings are provided at every meter
length except where tallies are attached.
 If chain is found to be too
long
 If chain is found to be too
short
1)
1) Closing up the joints of the
Closing up the joints of the
rings if found to be opened out.
rings if found to be opened out.
2)
2) Reshaping the elongated rings.
Reshaping the elongated rings.
3)
3) Replacing damaged rings.
Replacing damaged rings.
4)
4) Removing one or more small
Removing one or more small
rings.
rings.
5)
5) Adjusting the links at the end.
Adjusting the links at the end.
1)
1) Straightening the bent links.
Straightening the bent links.
2)
2) Opening the joints of the rings.
Opening the joints of the rings.
3)
3) Replacing one or more small
Replacing one or more small
circular rings by bigger ones.
circular rings by bigger ones.
4)
4) Inserting new rings where
Inserting new rings where
necessary.
necessary.
5)
5) Adjusting the links at the end.
Adjusting the links at the end.
1) Cloth or linen tape.
2) Fibre tape.
3) Metallic tape.
4) Steel tape.
5) Invar tape.
linear_measurementS IN METROLOGY & INSTRUMENTATION
 Arrows are made of tempered steel wire of diameter 4mm.
 One end of the arrow is bent into a ring of diameter 50mm and
the other end is pointed.
 Its overall length is 400mm.
 An arrow is inserted into the ground after every chain measured
on the ground.
 Ranging rods are 2 to 3 m in length.
 Used for ranging some intermediate points on the
survey line.
 Painted with alternate bands of black and white or red
and white colours.
 With length of each equalising 20 cm.
linear_measurementS IN METROLOGY & INSTRUMENTATION
 Made of timber or steel.
 Used to mark the position of stations.
 Pegs are in length of 15 cm.
 Used to transfer points on ground.
 Used for fixing instrument exactly over the
stations.
 Triangulation is the principle.
 In this area is divided into a number of
triangles with the suitable sides.
 The plan of the area can be easily drawn.
 As a triangle is the only simple plane
geometrical figure.
1) Survey Stations:
(a) Main stations
(b) Subsidiary stations
(c) tie stations
2) Main survey lines
3) Base line
4) Check line
5) Tie-line
linear_measurementS IN METROLOGY & INSTRUMENTATION
1) Survey lines should be minimum as far as possible
and should be taken on fairly level ground.
2) should be intervisible.
3) Should form well conditioned triangles.
4) Should be located that tie lines, check lines, baseline
etc. an be formed.
5) Should be selected within the boundary of the area to
be surveyed.
 Chaining
 Ranging
 Offsetting
 Chaining on level ground
It involves following operations
1) Fixing the stations.
2) Unfolding the chain.
3) Ranging.
4) Measuring the distance.
5) Folding the chain.
There are 2 methods:
Direct Method:
Also called as stepping. In this method, the distance
is measured in small horizontal stretches. Say a1,
a2 an.
with suitable length of chain or tape.
finally the total horizontal distances are added to get
the required distances
w
x
y
z
c
b
a
linear_measurementS IN METROLOGY & INSTRUMENTATION
It involves calculation from directly measured lengths.
Method1:
Horizontal distance of the segment is calculated by
knowing sloping length of the segment and angle of inclination
of that with horizontal.
The angle of the sloping surface with horizontal can be
known by instrument called Clinometer.
 If the elevation difference between 2 terminals points
and the sloping distance between 2 terminal points is
known the horizontal distance D can be calculated as
 D = (l族-足
h族)
 Also called as hypotenusal allowance method
 Instead of putting the end arrow at actual end
of chain, it is put at some advanced distance
and that point is considered as the end of one
chain length
 There are 2 methods:
1) Direct ranging
2) Indirect ranging or reciprocal ranging.
 When intermediate ranging rods are fixed on a
straight line by direct observation from end
stations, the process is known as direct
ranging.
 Direct ranging also can be done with a line
ranger it consist of 2 right isosceles triangular
prisms. Placed one above other.
linear_measurementS IN METROLOGY & INSTRUMENTATION
 When the end stations are not intervisible due
to there being high ground between them,
intermediate ranging rods are fixed on the line
in an indirect way.
 The method is known as indirect ranging or
reciprocal ranging.
Indirect Ranging
 There are 2 types of offsets:
1) Perpendicular offsets:
the offsets which are taken perpendicular to the chain are
termed as above.
2) Oblique offsets:
Oblique distance is always greater than perpendicular
distance. All the offsets which are not taken at right angle to
chain line are known as above.
 Optical square.
 Indian optical square.
 Open cross staff.
 Prism square.
 There are 2 types
1) Compensating errors
2) Cumulating errors
 Instrumental Errors
 Natural errors
 Personal errors
 If chain is too
long
 If chain is too
small
 Measured
distance will be
less. Correction:
positive
 Measured
distance will be
more. Correction:
negative
 Corrections for absolute length
 Corrections for temperature
 Corrections for pull
 Corrections for sag
 Corrections for slope
linear_measurementS IN METROLOGY & INSTRUMENTATION

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linear_measurementS IN METROLOGY & INSTRUMENTATION

  • 2. METHODS OF LINEAR MEASUREMNENT APPROXIMATE METHODS CHAIN SURVEYING CHAIN TAPES RANGING RODS METHODS USED IN CHAIN SURVEYING PRINCIPLE OF CHAIN SURVEYING SELECTION OF CHAIN SURVEYING OFFSETS ERRORS TYPES OF ERRORS SOURCE OF ERRORS
  • 3. There are 3 methods of making linear measurements. 1- Direct Method. 2- Optical Method. 3- E.D.M Method.
  • 4. Pacing. Passometer. Pedometer. Odometer. Speedometer. Measuring Wheel.
  • 6. 1) Chains 2) Tapes 3) Arrows 4) Ranging Rods and Offset Rod 5) Pegs 6) Plumb- bob
  • 7. Metric chain Gunters chain or Surveyors chain Engineers chain Revenue chain Steel band or Band chain
  • 9. TAKING MEASUREMENTS ON CHAIN TAKING MEASUREMENTS ON CHAIN Metric chains are made in lengths 20m and 30m. Tallies are fixed at every five-meter length and brass rings are provided at every meter length except where tallies are attached.
  • 10. If chain is found to be too long If chain is found to be too short 1) 1) Closing up the joints of the Closing up the joints of the rings if found to be opened out. rings if found to be opened out. 2) 2) Reshaping the elongated rings. Reshaping the elongated rings. 3) 3) Replacing damaged rings. Replacing damaged rings. 4) 4) Removing one or more small Removing one or more small rings. rings. 5) 5) Adjusting the links at the end. Adjusting the links at the end. 1) 1) Straightening the bent links. Straightening the bent links. 2) 2) Opening the joints of the rings. Opening the joints of the rings. 3) 3) Replacing one or more small Replacing one or more small circular rings by bigger ones. circular rings by bigger ones. 4) 4) Inserting new rings where Inserting new rings where necessary. necessary. 5) 5) Adjusting the links at the end. Adjusting the links at the end.
  • 11. 1) Cloth or linen tape. 2) Fibre tape. 3) Metallic tape. 4) Steel tape. 5) Invar tape.
  • 13. Arrows are made of tempered steel wire of diameter 4mm. One end of the arrow is bent into a ring of diameter 50mm and the other end is pointed. Its overall length is 400mm. An arrow is inserted into the ground after every chain measured on the ground.
  • 14. Ranging rods are 2 to 3 m in length. Used for ranging some intermediate points on the survey line. Painted with alternate bands of black and white or red and white colours. With length of each equalising 20 cm.
  • 16. Made of timber or steel. Used to mark the position of stations. Pegs are in length of 15 cm.
  • 17. Used to transfer points on ground. Used for fixing instrument exactly over the stations.
  • 18. Triangulation is the principle. In this area is divided into a number of triangles with the suitable sides. The plan of the area can be easily drawn. As a triangle is the only simple plane geometrical figure.
  • 19. 1) Survey Stations: (a) Main stations (b) Subsidiary stations (c) tie stations 2) Main survey lines 3) Base line 4) Check line 5) Tie-line
  • 21. 1) Survey lines should be minimum as far as possible and should be taken on fairly level ground. 2) should be intervisible. 3) Should form well conditioned triangles. 4) Should be located that tie lines, check lines, baseline etc. an be formed. 5) Should be selected within the boundary of the area to be surveyed.
  • 22. Chaining Ranging Offsetting
  • 23. Chaining on level ground It involves following operations 1) Fixing the stations. 2) Unfolding the chain. 3) Ranging. 4) Measuring the distance. 5) Folding the chain.
  • 24. There are 2 methods: Direct Method: Also called as stepping. In this method, the distance is measured in small horizontal stretches. Say a1, a2 an. with suitable length of chain or tape. finally the total horizontal distances are added to get the required distances
  • 27. It involves calculation from directly measured lengths. Method1: Horizontal distance of the segment is calculated by knowing sloping length of the segment and angle of inclination of that with horizontal. The angle of the sloping surface with horizontal can be known by instrument called Clinometer.
  • 28. If the elevation difference between 2 terminals points and the sloping distance between 2 terminal points is known the horizontal distance D can be calculated as D = (l族-足 h族)
  • 29. Also called as hypotenusal allowance method Instead of putting the end arrow at actual end of chain, it is put at some advanced distance and that point is considered as the end of one chain length
  • 30. There are 2 methods: 1) Direct ranging 2) Indirect ranging or reciprocal ranging.
  • 31. When intermediate ranging rods are fixed on a straight line by direct observation from end stations, the process is known as direct ranging. Direct ranging also can be done with a line ranger it consist of 2 right isosceles triangular prisms. Placed one above other.
  • 33. When the end stations are not intervisible due to there being high ground between them, intermediate ranging rods are fixed on the line in an indirect way. The method is known as indirect ranging or reciprocal ranging.
  • 35. There are 2 types of offsets: 1) Perpendicular offsets: the offsets which are taken perpendicular to the chain are termed as above. 2) Oblique offsets: Oblique distance is always greater than perpendicular distance. All the offsets which are not taken at right angle to chain line are known as above.
  • 36. Optical square. Indian optical square. Open cross staff. Prism square.
  • 37. There are 2 types 1) Compensating errors 2) Cumulating errors
  • 38. Instrumental Errors Natural errors Personal errors
  • 39. If chain is too long If chain is too small Measured distance will be less. Correction: positive Measured distance will be more. Correction: negative
  • 40. Corrections for absolute length Corrections for temperature Corrections for pull Corrections for sag Corrections for slope