in this slide we discuss about the important uses of theodolite.

1. NATIONAL INSTITUTE OF TECHNOLOGY RAIPUR
DEPARTMENT OF MINING ENGINEERING
A TERM PROJECT
“USES OF THEODOLITE”
IN
MINE SURVEY-II
PREPARED BY:
AMIT KUMAR
ROLL NO. 18121008
B.TECH. MINING ENGINEERING 5TH
SEMESTER
UNDER GUIDANCE OF:
PROF. B.R. PARATE
ASSOCIATE PROFESSOR
DEPARTMENT OF MINING ENGINEERING

2. ACKNOWLEDGEMENT
I would like to express my special thank of gratitude to respected Prof. B.R.
Parate sir and T. Sai Kumar sir for their guidance, help and useful suggestion and
give us opportunity to do this project on Uses of Theodolite (Mine survey II).

3. INDEX
CONTENTS
1. INTRODUCTION ...........................................................................................4
2. USES OF THEODOLITE ..................................................................................5
2.1Measurement of Horizontal angle .............................................................5
2.2Measurement of Vertical Angle .................................................................6
2.3 Magnetic Bearing with Theodolite............................................................7
2.4 Using a theodolite as a level .....................................................................8
2.5 Prolonging a straight line ..........................................................................8
2.6 Traversing with theodolite........................................................................9
CONCLUSION ...................................................................................................10
REFERENCES.....................................................................................................10

4. THEODOLITE
1. INTRODUCTION: -
The theodolite is the most precise instrument designed for the
measurement of horizontal and vertical angles with considerable accuracy and
it has wide field usefulness in surveying such as laying off horizontal angles,
locating points on line, prolonging survey lines, establishing grades, determining
difference in elevation, setting out curve.
Theodolite may be classified as – 1. Transit theodolite 2. Non-transit Theodolite
Parts of the Theodolite: -

5. 2. USES OF THEODOLITE: - the various uses of theodolite are the
following:
2.1 Measurement of Horizontal angle: An angle between any two points
within the same horizontal plane. ordinary method to measure
horizontal angle <AOB.
A B
O
a. Set up the theodolite at station point O and level it accurately.
b. Set the Vernier A to the zero or 3600
of the horizontal circles. Tighten
the upper clamp.
c. Loosen the lower clamp. Turn the instrument and direct the telescope
towards A to bisect it accurately with the use of tangent screw. After
bisecting accurately check the reading which must still read zero. Read
the Vernier B and record both the readings.
d. Loosen the upper clamp and turn the telescope clockwise until line of
sight bisects point B on the righthand side. Then tighten the upper
clamp and bisect it accurately by turning its tangent screw.
e. Read both Verniers. The reading of the Vernier a which was initially
set at zero gives the value of the angle AOB directly and that of the
other Vernier B by deducting 1800
. The mean of the two Vernier
readings gives the value of the required angle AOB.
f. Change the face of the instrument and repeat the whole process. The
mean of the two Vernier readings gives the second value of the angle
AOB which should be approximately or exactly equal to the previous
value.
g. The mean of the two values of the angle AOB, one with face left and
the other with face right, gives the required angle free from all
instrumental errors.

6. 2.2 Measurement of Vertical Angle: A vertical angle is an angle between
the inclined line of sight and the horizontal. It may be an angle of
elevation or depression according as the object is above or below the
horizontal plane.
To Measure the Vertical Angle of an object A at a station O:
a. Set up the theodolite at station point O and level it accurately with
reference to the altitude bubble.
b. Set the zero of vertical Vernier exactly to the zero of the vertical circle
clamp and tangent screw.
c. Bring the bubble of the altitude level in the central position.
d. The line of sight is thus made horizontal and Vernier still reads zero.
e. Loosen the vertical circle clamp screw and direct the telescope towards
the object A and sight it exactly by using the vertical circle tangent screw.
f. Read both Verniers on the vertical circle, The mean of the two Vernier
readings gives the value of the required angle.
g. Change the face of the instrument and repeat the process. The mean of
the two Vernier readings gives the second value of the required angle.
h. The average of the two values of the angles thus obtained, is the required
value of the angle free from instrumental errors.

7. For measuring Vertical Angle between two points A &B:
a. Sight A as before and take the mean of the two Vernier readings at the
vertical circle. Let it be α.
b. Similarly, sight B and take the mean of the two Vernier readings at the
vertical circle. Let it be 𝛽𝛽.
c. The sum or difference of these readings will give the value of the vertical
angle between A and B according as one of the points is above and the
other below the horizontal plane. or both points are on the same side of
the horizontal plane Fig b & c β.
2.3 Magnetic Bearing with Theodolite
To find the bearing of a line AB as shown in fig. below
a. Set up the instrument over A and level it accurately.
b. Set the Vernier to the zero of the horizontal circle.
c. Release the magnetic needle and loosen the lower clamp.
d. Rotate the instrument till magnetic needle points to North. Now clamp
the lower clamp with the help of lower tangent screw. Bring the needle
exactly against the mark in order to bring it in magnetic meridian. At this
stage the line of sight will also be in magnetic meridian.

8. e. Now loose the upper clamp and point the telescope towards B. With the
help of upper tangent screw ,bisect B accurately and read both the
verniers .The mean of the two readings will be recorded as magnetic
bearing of line.
f. Change the face of the instrument for accurate magnetic bearing of the
line and repeat. the mean of the two values will give the correct bearing
of the line AB.
2.4 Using a theodolite as a level
if the theodolite is in perfect adjustment, it can be used as a levelling
instrument. The theodolite is levelled with respect to the altitude level. When
the bubble of the altitude level is in centre and the Vernier reading of the vertical
circle is zero, the line of sight is horizontal. Then the instrument can be used as
a level
the back sight (B.S.) is taken on the staff held at B.M. and the height of the
instrument is determined. The staff is then shifted to the point whose elevation
is required, and a foresight (F.S.) is taken. Thus,
R.L. = B.M. + B.S. - F.S.
However, a theodolite should not be used as a levelling instrument as far as
possible. The accuracy attained is generally less than with a good dumpy level
or tilting level.
2.5 Prolonging a straight line
There are two methods of prolonging a given line such as AB:
(1) Fore sight method, and (2) Back sight method.
a. Set up the theodolite at A and level it accurately. Bisect the point B
correctly. Establish a point C in line beyond B approximately by looking
over the top of the telescope and accurately by sighting through the
telescope.
b. Shift the instrument to B, take a fore sight on C and establish; point D in
line beyond C.

9. c. Repeat the process until the last point (Z) is established.
Note: For this method, the instrument must be in perfect adjustment.
a. Set up the instrument at B and level it accurately.
b. Take a back sight on A.
c. Tighten the upper and lower clamps, transit the telescope and establish a
point C in the line beyond B.
d. Shift the theodolite to C, back sight on B, transit the telescope and
establish a point D in line beyond C.
e. Repeat the process until the last point (Z) is established.
Note: This method also requires the instrument to be in perfect adjustment.
When the line is to be prolonged with high precision or when the instrument is
in imperfect adjustment, the process of double sighting or double reversing, is
used. Suppose the line AB is to be prolonged to a point Z.
2.6 Traversing with theodolite
A traverse is a series of connected lines whose lengths and directions are
measured in the field
Different methods of Traversing, 1. Traversing by included angles 2.
Traversing by deflection angles.
Sum of the measured interior angles should equal (2N – 4) right angles. The
sum of the measured exterior angles should equal (2N + 4) right angles. where
N is number of sides of the traverse.
The algebraic sum of the deflection angles should equal 360°.Consider the
right-hand deflection angles as positive, and left-hand ones as negative.

10. fig. closed traverse
Fig. open traverse
CONCLUSION
There are vast uses of theodolite in surveying. Above mentioned uses of
theodolite are the main. There are several uses are like in triangulation,
correlation and joint boundary survey, Tacheometric observations, calculation
of area; determination of true north, longitude and latitude; setting out the
curves etc.
REFERENCES
 Mine surveying and levelling By S. Ghatak.
 https://www.slideshare.net/neharajpl/theodolite-surveying-89057990
 https://www.engineeringenotes.com/surveying/theodolite-
surveying/use-of-theodolite-in-surveying-theodolite-surveying-
surveying/14061