Upon completing the course, the students will be able to:
1. Define and state the scope of surveying and geomatics in civil engineering
2. Understand the basic principles of surveying and geomatics engineering
3. Apply the different methods of surveying and geomatics to measure the features of interest
4. Analyze the traditional and advanced methods of surveying
5. Evaluate the different techniques of surveying and geomatics in solving real world problems.
6. Design and construct solutions for real world problems related to surveying and geomatics.
1. Surveying Principles Engineering
Surveying is the process of determining
relative positions of different objects on the
surface of the earth by measuring horizontal
distances betw een themand preparing a map
to any suitable scale.
Measurements are taken in horizontal plane
only. Surveying is the art of determining the
relative positions of points on, above or
beneath the surface of the earth by means of
direct or indirect measurements of distance,
direction and elevation.
Leveling is a branch of surveying the object of
w hich is to find the elevations of points w ith
respect to a given or assumed datum and to
establish points at a given elevation or at
different elevations with respectto a given or
assumed datum.
Survey is performed to prepare a map of
relative positions on surface of the earth. It
show sthe naturalfeature of a country such as
tow ns, villages, roads, railways, etc. They may
also include details of different engineering
w orks such as bridge, canal, dam etc.
Before commencement of any major
engineering project, survey is carried out to
determine the location of site and its
surrounding. To understand the topography of
the site and natural resource availability.
Survey is carried out to prepare the cadastral
map show ing propertyboundaries.
Principles of Surveying
The fundamental principle upon w hich the
various methods of plane surveying are based
can be stated under the follow ing two aspects.
. Primary types of Surveying are:
Plane surveying
Geodetic surveying
1. Plane surveying
Plane surveying is conducted by state
agencies as w ellas private agencies. As we
know earth is sphericalin shape but its
diameter is big enough to consider plane in
small dimensions. It is that type of surveying in
w hich the mean surface of the earth is
considered as a plane and the spheroidal
shape is neglected. All triangles formed by
survey lines are considered as plane triangles.
The level line is considered as straight and
plumb lines are considered parallel. Plane
surveying is done of the area of survey is less
than 250 km2
.
2. Geodetic surveying
Geodetic surveyis conducted by survey
department of the country. It is that type of
surveying in w hich the curved shape of the
earth is taken in to account. The object of
geodetic survey is to determine the precise
position on the surface of the earth, of a
systemof w idely distant points w hich form
controlstations in w hich surveysof less
precision may be referred. . Line joining tw o
points is considered as curved line and angles
are assumed as sphericalangles. It is carried
out if the area exceeds over 250 km2
a) Topographical Surveys
They are carried out determine the position of
natural features of a region such as rivers,
streams, hills etc. and artificialfeatures such
as roads and canals. The purpose of such
surveys is to prepare maps and such maps of
are called topo-sheets.
b) Hydrographic Survey
Hydro-graphic surveyis carried out to
determine M.S.L. (Mean Sea Level), w ater
spread area, depth of w ater bodies, velocityof
flow in streams, cross-section area of flow etc.
c) Astronomical Survey
The AstronomicalSurvey is carried out to
determine the absolute location of any point on
the surface of earth. The survey consistsof
making observations to heavenly bodies such
as stars.
d) Engineering Survey
This type of survey is undertaken w henever
sufficient data is to be collected for the
purpose of planning and designing
engineering w orks such as roads, bridges and
reservoirs.
Pythagorean Theorem In a right
triangle, the square of the hypotenuse is equal
to the sum of the squares of the other tw o
sides. C 2 = A2 + B2 w here: Cis the
hypotenuse (side opposite the right angle). A
and B are the remaining sides.
Units of Angular Measurement The
most common angular units being employed
in the United States is the Sexagesimal
System. This systemuses angular notation in
increments of 60 by dividing the circle into 360
degrees; degrees into 60 minutes; and
minutes into 60 seconds. Therefore; 1 circle =
360° = 21,600´ = 1,296,000˝ 1° = 60´ = 3600˝
1´ = 60
Meridian:A line on the mean surface of the
earth joining the north and south poles. •
Geographic North: True North
Sometimes called Geodedic True North-fixed •
Magnetic North: Taken froma magnetic
compasschanges with time
Grid North (Meridian): Lines parallel to
a grid reference meridian (centralmeridian)-
SPC
Bearing - The direction of a line as given by
the acute angle betw een the line and a
reference meridian.
Azimuth – The direction of a line as given
by an angle measurement clockw ise (usually)
fromthe north end of a reference meridian.
(NAD 83 is fromthe North) (NAD 27 is from
the South)
Direct ranging can be done by 2
methods:
DIRECT METHOD: This method is used
w hen two ends of surveystations or survey
lines are inter-visible.
1) RANGING BY EYE: Consider tw o pints X
and Y w hich are inter-visible to each other. In
this method ranging rod is fixed at station X
and Y. Suppose if w e w ant to locate a point Z
on ground w hich is in line w ith XY. The
surveyor standshalf a metre backside of
ranging rod at X in line w ith XY. Assistant then
moves another ranging rod under the
guidance of surveyor in such a w ay that
ranging rod hold by assistant is in the line XY
at point Z betw wen X ANDY. Similarly other
points can be located by similar w ay. Surveyor
has to guide assistant by using some hand
signals so that ranging rod comes in the line.
INDIRECT RANGING: This method is
used w hen two ends of survey stations
or survey line are not inter-visible.
Let X and Y be the 2 stations w hich are not inter-
visible. So to proceed in straight line betw een X
and Y process of indirect ranging is applied.
Tw o intermediate points M1 and M2
are located in such a w ay that person standing
w ith ranging rod at M2 can see M1 and X
w hereasperson with ranging rod at M1 can see
M2 and Y.
Now person at M2 w illguide the person at M1 to
come in line w ith M2 and X on a new position M3.
Now the person at M3 w illguide the person at M2
to come to a new position M4 such that M3, M4
and Y are on same line. Ranging rod is fixed at
M3 & M4 and chaining is continued along the hill.
2)RANGING BY LINE RANGER:Line
ranger is a light and easy to use instrument w hich
can be used for ranging. It consists of 2 plane
mirrors or 2 right-angled isosceles prismplaces
one above the another. Diagonals of tw o prism
are silvered so as to reflect light. Low er prismis
fixed w hile the upper prism is moveable.
Instrument is provided w ith handle at bottom
w hich gives ease to the user for using the
instrument.
Tw o ranging rods are fixed at inter-visible points.
Then surveyor moves with the line ranger. The
point w here two images coincide in line ranger is
the point in line w ith two fixed ranging rods. At
this point a pebble is dropped from the handle of
line ranger and point is traced on ground.
2. Bearing • The bearing of a line is the horizontal
angle w hich it makes w ith a reference line
(meridian) depending upon the meridian, there
are four types of bearings. True Bearing The true
bearing of a line is the horizontal angle betw een
the true meridian and the survey line. The true
bearing is measured fromthe true north in the
clockw ise direction. Magnetic Bearing The
magnetic bearing of a line is the horizontalangle
w hich the line makes w ith the magnetic north.
3. 22. Bearing Grid Bearing The grid bearing of a
line is the horizontalangle w hich the line makes
w ith the grid meridian. Arbitrary Bearing The
arbitrary bearing of a line is the horizontal angle
w hich the line makes w ith the arbitrary meridian
4. 25. Designation of Bearings • The bearing are
designated in the follow ing two systems. • Whole
Circle Bearing System (W.C.B) • Quadrantal
Bearing System( Q.B.)
5. 26. Whole Circle Bearing System (W.C.B) • The
bearing of a line measured w ith respect to
magnetic meridian in clockw ise direction is called
magnetic bearing and its value varies betw een0
0 to 360 0. • The Quadrants start fromNorth and
Progress in a clockw ise direction as the first
quadrant is 0 0 to 90 0 in clockw ise direction, 2nd
90 0 to 180 0 , 3 rd 180 0 to 270 0 , and up to
360 0 is 4th one.
6. 28. Whole Circle Bearing System (W.C.B)
7. 29. Quadrant Bearing System (Q.B.) • In this
system, the bearing of survey lines are measured
w ith respect to north line or south line w hich ever
is the nearest to the given survey line and either
in clockw ise direction or in anticlockw ise
direction. • The bearing of lines w hich fallin Ist
and IV th Quadrant are measured w ith respect to
north line is nearer than south line, and bearing
of lines fallin II nd and IIIrd quadrants are
measured from south line as south is the nearer
line. The surveyor’s compassmeasures the
bearing of lines in the quadrant system.
2. 1. 30. Reduced Bearing (RB) •
When the whole circle bearing of a line is
converted into quadrantal bearing itis
termed as ‘Reduced Bearing’.Thus,the
reduced bearing is similar to the
quadrantal bearing.It’s value lies
between 0 0 to 90 0, but the quadrants
should be mentioned for proper
designation.
Levelling in surveying. Levelling is a
process ofdetermining the heightofone
level relative to another. It is used
in surveying to establish the elevation of
a pointrelative to a datum,or to establish
a pointat a given elevation relative to a
datum.
Principle of levelling The principle of
levelling is to obtain horizontal line of
sightwith respectto which vertical
distances ofthe points above or below
this line of sightare found.
Datum It is an arbitrary level surface
from which elevation of points may be
referred”. In India mean sea level is
considered as datum ofzero elevation
Mean sea level is the average heightof
sea for all stages oftides it is derived by
averaging the hourly tide heightover a
period of 19 years.
Elevation or Reduced level It is height
or depth of any point above or below any
datum.It is denoted as R.L.
Bench Mark (B.M.) It is a fixed
reference pointof known elevation with
respectto datum. Line of collimation It
is a line joining the intersection ofcross
hairs of diaphragm to the optical centre of
objectglass Height of instrumentand
its continuation.It is also known as line of
sight. It is the elevation of line of
collimation with respectto datum Back
sight It is a staff reading taken at a
known elevation. It is the firststaff
reading taken after setup of instrument.
Fore sight( F.S.) It is the laststaff
reading taken denoting the shifting ofthe
instrument. Intermediate sight.(I.S.)
It is staff reading taken on a pointwhose
elevation is to be determined.All staff
reading betweenB.S. and F.S. are
Intermediate sight. Change Point It is
a pointon which both fore and back sight
are taken.
What is Plane Table Surveying?
The plane table surveying is the fast
method of surveying. In this type of
surveying plotting of the plan and field
observations can be done
simultaneously.In case of plane table
surveying Geometrical conditions ofsite
are manuscriptin the map sheetusing
plane table and alidade after that
topographic details are arranged on the
map.
General equipment used for conducting
plane table survey are
Plane table
Alidade for sighting (telescopic or
simple)
Plumb bob and plumb fork
Compass
Spirit level
Chain
Ranging rods
Tripod
Draw ing sheet and draw ing tools
Paper clips or screws
Types of Levelingin Surveying
1. Direct leveling
2. Trigonometric leveling
3. Barometric leveling
4. Stadia leveling
Differential Leveling
Differentialleveling is performed w hen the
distance betw een two points is more. In this
process, number of inter stations are located
and instrument is shifted to each station and
observed the elevation of inter station points.
Finally difference between originaltw o points
is determined.
Fly Leveling
Fly leveling is conducted w hen the benchmark
is very far fromthe w orkstation. In such case,
a temporary bench mark is located at the w ork
station w hich is located based on the original
benchmark. Even it is not highly precise it is
used for determining approximate level.
Reciprocal Leveling
When it is not possible to locate the
leveling instrument in between theinter
visible points,reciprocalleveling is
performed.This case appears in case of
pondsorrivers etc.in case ofreciprocal
leveling,instrument is set nearerto
1st
station andsightedtowards 2nd
station.
Trigonometric Leveling
The process ofleveling in which the elevation
of point orthe difference betweenpointsis
measured fromthe observedhorizontal
distances andverticalanglesin the field is
called trigonometric leveling.
What is Profile levelling?
Profile leveling is one of the most common
applications of running levels and vertical
distance measurement for the surveyor. The
results are plotted in the formof a profile, w hich is
a draw ing that showsa verticalcrosssection.
Profiles are required for the design and
construction of roads, curbs, sidewalks, pipelines,
etc. In short, profile leveling refers to the process
of determining the elevation of points on the
ground at mostly uniformintervals
along a continuous line.
Cross sectioning levelling
Cross sectioning levelling is another method in
profile levelling. The term cross-section generally
refers to a relatively short profile view of the
ground, w hich is drawn perpendicular to the route
centerline of a highw ay or other types of linear
projects.
Cross-sectionaldrawingsare particularly
important for estimating the earthw orkvolumes
needed to construct a roadw ay; they show the
existing ground elevations, the proposed cut or fill
side slopes, and the grade elevation for the road
base.
There is really no difference in procedure
betw een profile and cross-section leveling except
for the form of the field notes. Cross-section rod
shots are usually taken during the route profile
survey fromthe same instrument positions used
to take rod shots along the centerline.
Errors in Levelling
1. InstrumentalErrors
2. Collimation Error
3. Error due to Curvature &Refraction
3. Collimationerror occurswhen the collimation
axis is not truly horizontalw hen the instrument
is level. The effect is illustrated in the sketch
below , w here the collimation axis is tilted w ith
respect to the horizontalby an angle a.
Curvature of the earth:
The earth appears to “fall away” with distance.
The curved shape of the earth means that the
level surface through the telescope w ill depart
from the horizontal plane through the
telescope as the line of sight proceeds to the
horizon.
This effect makes actuallevel rod readings too
large by:
w here D is the sight distance in thousands of
feet.
What is contouring in Surveying?
Contouring in surveying is the determination of
elevation of various points on the ground and
fixing these points of same horizontal positions
in the contour map.
To exercise verticalcontrolleveling w orkis
carried out and simultaneously to exercise
horizontalcontrolchain survey or compass
survey or plane table survey is to be carried
out.
If the theodolite is used, both horizontal and
verticalcontrols can be achieved fromthe
same instrument. Based on the instruments
used one can classify the contouring in
different groups.
Trilateration, method of surveying in w hich
the lengths of the sides of a triangle are
measured, usually by electronic means, and,
fromthis information, angles are computed. By
constructing a series of triangles adjacent to
one another, a surveyor can obtain other
distances and angles that w ould not otherw ise
be measurable. Formerly, trilateration w as little
used in comparison to triangulation, a method
for determining tw o sides and an angle of a
triangle fromthe length of one side and tw o
angles, because of the difficulty of the
computations involved. But the development of
electronic distance-measuring devices has
made trilateration a common and preferred
system. Except that only lines are measured,
w hile all angles are computed, the field
procedures for trilateration are like those for
triangulation.
A map is a symbolic depiction emphasizing
relationships betw een elements of some
space, such as objects, regions, or themes.
Many maps are static, fixed to paper or some
other durable medium, w hile others are
dynamic or interactive
Methods of Contour Surveying
There are tw o methods of contour surveying:
1. Direct method
2. Indirect method
Direct Methodof Contouring
It consists in finding verticaland horizontal
controls of the points w hich lie on the selected
contour line.
For verticalcontrollevelling instrument is
commonly used. A level is set on a
commanding position in the area after taking
fly levels fromthe nearby bench mark. The
plane of collimation/height of instrument is
found and the required staff reading for a
contour line is calculated.
The instrument man asks staff man to move
up and dow n in the area till the required staff
reading is found. A surveyor establishesthe
horizontalcontrolof that point using his
instruments.
After that instrument man directs the staff man
to another point w here the same staff reading
can be found. It is follow ed by establishing
horizontalcontrol.
Thus, severalpoints are established on a
contour line on one or tw o contour lines and
suitably noted dow n. Plane table survey is
ideally suited for this w ork.
After required points are established fromthe
instrument setting, the instrument is shifted to
another point to cover more area. The level
and survey instrument need not be shifted at
the same time. It is better if both are nearby to
communicate easily.
For getting speed in levelling some times hand
level and Abney levels are also used. This
method is slow , tedious but accurate. It is
suitable for small areas.
Indirect Methodof Contouring
In this method, levels are taken at some
selected points and their levels are reduced.
Thus in this method horizontalcontrolis
established first and then the levels of those
points found.
After locating the points on the plan, reduced
levels are marked and contour lines are
interpolated betw een the selected points.
For selecting points any of the follow ing
methods can be used:
1. Method of squares
2. Method of cross-section
3. Radial line method
Characteristics of Contour Maps
The contours maps have the following
characteristics:
1. Contour lines mustclose,notnecessarilyin
the limits ofthe plan.
2. Widely spaced contour indicates flat
surface.
3. Closelyspaced contour indicates steep
ground.
4. Equally spaced contour indicates uniform
slope.
5. Irregular contours indicate uneven surface.
6. Approximately concentric closed contours
with decreasing values towards centre (Fig.
1) indicate a pond.
7. Approximately concentric closed contours
with increasing values towards centre
indicate hills.
8. Contour lines with U-shape with convexity
towards lower ground indicate ridge (Fig.2).
Fig. 2
Fig. 3
9. Contour lines with V-shaped with
convexity towards higher ground indicate
valley (Fig.3).
10. Contour lines generallydo not meetor
intersecteach other.
11. If contour lines are meeting in some
portion,it shows existence ofa vertical cliff
(Fig. 4).
Fig. 4
12. If contour lines cross each other,it
shows existence ofoverhanging cliffs or a
cave (Fig. 5).
4. A GEOLOGICAL MAP is a map that is used to show
geological f eatures such as geologic strata and rock
units. The location of these f eatures underneath the
earth's surf ace are shown by sy mbols or colors.
Other f eatures such as f ault lines, f oliations, and f olds
are shown with strike and dip sy mbols which giv es
them a three-dimensional orientation. There are two
main ty pes of orientation measurements: orientation
of planes measured as “dip” and “strike” and
orientation of lines measured as “trend” and “plunge.”
Trend and plunge are sy mbolized by single arrows
and are used f or linear f eatures while strike and dip
are sy mbolized by a long strike line perpendicular to
the direction of the slope. In the US, geologic maps
are superimposed ov er topographic maps with
additional color masks with letters to represent a
geologic unit. In the UK, the term “geological map” is
used instead of “geologic map.
A CADASTER MAP is a map showing the real estate
of a country . It includes the location, area, ownership,
v alue, and tenure of an indiv idual parcel of land.
According to the International Federation of
Surv ey ors, a cadaster is an up-to-date land
inf ormation sy stem that contains records of interest of
lands such as restrictions, rights, and responsibilities.
It includes the geometric description of the land and
used alongside other records that describe the nature
of the interest, controls of such interest, and the v alue
of the parcel of land. Some maps also show
additional inf ormation such as parcel’s identif ication
number, surv ey district name, certificate of title
number, adjacent street names, and position of
existing structures.
DIFFRENTS TYPE OF EDM
MICRO WAVE INSTRUMENT
INFRA-RED WAVE INSTRUMENT
LIGHT WAVE INSTRUMENT
A TOPOGRAPHIC MAP is a ty pe of map that shows
large-scale detail and quantitativ e inf ormation of
relief by the use of contour lines and v arious other
methods. The map shows both human-made and
natural topographical f eatures. A topographical map
is based on a topographical surv ey that has been
perf ormed on large scale and shows v arieties of
elev ations and landf orms. Topographic maps hav e
v arious uses including geographical planning, civ il
engineering, large-scale architecture, and f or
recreation such as hiking. Features on the map are
usually represented by conv entional signs and
sy mbols. For instance, dif ferent colors can be used
to indicate the dif f erent classifications of roads. The
signs are usually explained just below the map or on
the margins. Apart f rom contour lines, topographic
maps also show f orest cov ers, water bodies, and
buildings.
A CITY MAP is a large-scale thematic map of
a city (or part of a city) created to enable the f astest
possible orientation in an urban space. The graphic
representation of objects on a city map is theref ore
usually greatly simplif ied, and reduced to generally
understood sy mbology .
M ODEL 3
The Distomat is a very small, compact
electronic distance measurement device,
particularly usefulin construction and
engineering w orks. The Distomat measures
distances smaller than 500 meters by simply
pointing the instrument to a reflector and
reading the result.
A satellite is an object in space that orbits or circles around a
bigger object. There are two kinds of satellites: natural (such as
the moon orbiting the Earth) or artificial (such as the International
Space Station orbiting the Earth).
Axis signal correction is the correction to be made to vertical
angle measured because of the difference between the height of
the instrument axis at the observer station and height of the
signal at the target station.
The sign of correction depends upon nature of vertical angle,
whether an angle of elevation or of depression
Refer the diagram given in Figure 1.2 of textbook (Volume 2)A is
the instrument stationB is the point at which staff is heldD is
the horizontal distance between themα is the observed angle
of inclinationS2 is the height of the staffS2 must be equal to
h1 i.e. the height of instrument, then the observed angle is the
true vertical angleIf not, then corrections have to be applied.
Let δ1 be the correction to be applied, thentan δ1 = (s2 –h1)
cos2α/DIf the vertical angle is very small, δ1 = (s2 –
h1)/Dsin1”If the observations are made from B towards A with β
as the observed vertical angle and δ2 then,tan δ1 = (s1 –h2)
cos2β /DThe axis signal correction is negative for an angle of
elevation and positive for an angle of depression.
Definition of reduction to center
The offset of a side auxiliary telescope requires a correction to observed
horizontal angles, and the offset of a top auxiliary telescope requires a
correction to observed vertical angles. The process of computing the
correct angle from the observed angle is called reduction to center.
THEODOLITE
W hich instrument is used in trigonometric levelling?
Explanation: Trigonometric levelling involves measurements
that are angular and hence requires an angle
measuring instrument, like theodolite
11. What is a Satellite station?
In order to have w ellconditioned triangles or for
better visibility, objects such as church spires,
flag poles, tow ers, etc. are some times selected
as triangulation stations. When the observations
are to be taken fromsuch a station, it is
impossible to set up an instrument over it. In such
a case, a subsidiary station, know n as satellite
station or eccentric station or false station is
selected as near to the main station and
observations are taken fromthe satellite station
and corrections applied.
12. What is reductionto center?
The angle measured fromsatellite stations has
to be corrected to w hat they would have been if
they w ere measured fromthe true station. The
operation of applying correction due to the
eccentricity of the station is generally know n as
reduction to center.
13. What is a bench mark?
Bench mark is a relatively permanent point of
reference whose elevation with respectto some
assumed datum is know n. It is used either as
starting point for leveling or as a point upon w hich
to close a check.
14. What is a Traveller?
A traveler is a specialtype of boning rod in w hich
the horizontalpieces can be moved along a
graduated verticalstaff, and can be conveniently
clamped at any desired height.
5. A microwave radiometer (MWR) is a radiometer
that measures energy emitted at millimetre-to-centimetre
wavelengths (frequencies of 1–1000 GHz) known
as microwaves. Microwave radiometers are very sensitive
receivers designed to measure thermal electromagnetic
radiation emitted by atmospheric gases.
Infrared W ave Instruments
Prism reflectors are used at the end of line to be measured.
These instruments are light and economical and can be
mounted on theodolite. With these instruments accuracy
achieved is ± 10 mm. The range of these instruments is up to
3 km.
The light wave instrument use visible or simply light
which means wave lengths that are visible to human eyes to
measure the distance. The measuring range of light wave
instruments is lesser that that of microwave instruments as
because of the less transmitting power of light wave
instruments. Here primary equipment is used as light wave
emitting instrument and corner cube prisms are used as
reflectors. When compare to the rest this method is more
cheap when compare the value of
instruments. Geodimeter falls under this type of instrument.
Photogrammetry- Surveying