Wednesday 6 July 2016

RECIPROCAL LEVELING

RECIPROCAL LEVELING

Reciprocal leveling is employed to determine the difference in elevation between two points when it is difficult or impossible to keep backsights and foresights short and equal
In this method, two sets of rod readings are observed, (1) one set is taken with the instrument set up close to one point, and (2) another with the instrument set up close to the other point.

Considering the Figure 1 below, the equations to obtain the difference in elevation are the following
DEA = (a – b) and DEB = (a’ – b’)
TDE = (DEA + DEB)/2 = [(a - b) + (a’ – b’)]/2
Elev. BM2 = Elev. BM1 ± TDE
where:
   DEA = the mean difference in elevation between A and B with level at left
   DEB = the mean difference in elevation between A and B with level at right
   TDE = the true mean difference in elevation between A and B
 










Procedure:

  1. Set two hubs either on the 2nd or 3rd floors of the Velasco and La Salle Buildings and call these the BM1 and BM2, respectively. The elevation of BM2 is to be determined while the elevation of BM1 is known or assumed to be 10.000 meters above see level. Also, imagine that the football field between the Velasco and La Salle Buildings is an intervening deep ravine or wide river.
  2. Set up and level very carefully the instrument at point A at Velasco Building (3rd floor) near BM1.
  3. Take and record a series of three consecutive backsight rod readings on BM1 and six consecutive foresight rod readings on BM2.
  4. Move the instrument to point B at La Salle Building (3rd floor) which is on the opposite side of the imaginary ravine and near BM2, set up, and level the instrument carefully.
  5. From the new set up, take and record three consecutive foresight rod readings on BM2 and six consecutive backsight rod readings on BM1.
  6. Tabulate observed and computed values accordingly. Refer to the accompanying sample format for the tabulation of field data.


Instrument Set Up Near BM1
Instrument Set Up Near BM2
Station
B.S.
F.S.
Station
F.S.
B.S.

BM1
(a)




BM2
(b’)








BM2
(b)




BM1
(a’)













Sum


Sum


Mean


Mean










Saturday 2 July 2016

Lesson Note On Levelling- description of level instruments

Lesson: Levelling- description of level instruments

The art of determining relative altitudes of points on the surface of the earth of beneath the surface of earth is called LEVELLING.
For execution of Engineering Projects it is very necessary to determine elevations of different points along the alignment of proposed project.
Other applications are :
i)  Taking rail levels existing before track renewals to finalise final rail level profile including vertical curves.
ii) Initial ground levels for earthwork calculations.
iii) Levels for measurement of earthwork.
iv) Measurement of ballast etc.
Terms used in Levelling –
a) DATUM – or Datum plane is an arbitrarily assumed level surface or line with reference to which level of other line or surface are calculated.
b) REDUCED LEVEL (RL) – Height or depth of a point above or below the assumed datum is called Reduced level.
c) BENCH MARK – (BM) – B.M. is a fixed reference point of known elevation.  It may be of the following types.
i) GTS Bench mark (Geodetic Triangulation Survey) :
These Bench marks are established by national agency like Survey of India.  They are established with highest precision.  Their position and elevation above MSL is given in a special catalogue known as GTS Maps ( 100 km. interval).
ii) Permanent Bench Mark :  They are fixed points of reference establish with reference to GTS Bench mark (10 km. interval).
iii) Arbitrary Bench mark : These are reference points whose elevations are arbitrarily assumed.  In most of Engineering projects, the difference in elevation is more important than their reduced levels with reference to MSL as given in a special catalogue known as GTS Maps ( 100 Km. interval).
d) Mean Sea Level (M.S.L.) :  M.S.L. is obtained by making hourly observations of the tides at any place over a period of 19 years.  MSL adopted by Survey of India is now Bombay which was Karachi earlier.

e) Level Surface :  The surface which is parallel to the mean sphereoidal surface of the earth is known as level surface.

f)  Line of Collimation :  It is the line joining the intersection of the cross hair and the optical center of the objective and its extensions, it is also called line of sight or collimation.
g) Height of Instrument (HI) :  The elevation of the line of sight with respect to assumed datum is known as height of Instrument(HI).

h) Back sight : (B.S.) -  The first sight taken on a levelling staff held at a point of known elevation.  B.S. enables the surveyor to obtain HI +sight i.e. Height of Instrument or line of sight.
i)  Fore Sight : (F.S.) – It is the last staff reading taken from a setting of the level.  It is also termed as minus sight.
Fore sight is the sight taken on a levelling staff held at a point of unknown elevation to ascertain the amount by which the point is above or below the line of sight.  This is also called minus sight as the foresight reading is always subtracted from height of Instrument.
j) Change Point (CP) :  The point on which both the foresight and back sight are taken during the operation of levelling is called change point.

k) Intermediate Sight (IS) :
The foresight taken on a levelling staff held at a point between two turning points, to determine the elevation of that point, is known as intermediate sight.
It may be noted that for one setting of a level, there will be only one back sight and one foresight but there can be any number of intermediate sights.
Type of Levelling Equipments:
i) Dumpy level
ii) Tilting level
iii) Automatic level
iv) Digital Auto level
Dumpy level :  It is simple compact and stable.  The telescope is rigidly fixed to its support therefore cannot be rotated about its longitudinal axis.  A long bubble tube is attached to the top of telescope.  Dumpy literally means short and thick.
Tilting level :  It consists of a telescope attached with a level tube which can be tilted within few degrees in vertical plane by a tilting screw. The main peculiarity of this level is that the vertical axis need not be truly vertical, since the line of collimation is not perpendicular to it.  The line of collimation, is, however, made horizontal for each pointing of telescope by means of tilting screw.  It is mainly designed for precise levelling work.
The Automatic level  :  Also termed as self aligning level.  The fundamental difference between automatic and the classic spirit level is that in the former the line of sight is no longer levelled manually using a tubular spirit level, but is levelled automatically within a certain tilt range.  This is achieved by compensator in the telescope.

DUMPY LEVEL
It is simple compact and stable.  The telescope is rigidly fixed to its support therefore cannot be rotated about its longitudinal axis.  A long bubble tube is attached to the top of telescope.  Dumpy literally means short and thick.

Fig 9.1 Dumpy level
Description: Module 5 Lesson 9  fig.9.2
Fig 9.2 Parts of Dumpy level
The different parts of levelling instrument are,
(a)Telescope
(b) Eye-piece
(c) focussing knob
(d) level tube
(e) cross bubble
(f) foot screws
(g) levelling head
(h) diaphragm
(i) ray shade
Basic components of level :
1. Telescope – to provide a line of sight
2. Level Tube – to make line of sight horizontal
3. Levelling head – to bring the bubble of tube level at the centre of its run.
4. Tripod – to support the above three parts of the level.
TELESCOPE :  Telescope is an optical instrument used for magnifying and viewing the images of distant objects.  It consists of two lenses.  The lens fitted near the eye is called the eye piece and the other fitted at the end near to the object is called the objective lens. The objective provides a real inverted image infront of the eye piece at a distance lesser than its focal distance.
Two essential conditions are involved. :  
i)  The real image of the object, must be formed.
ii) the plane of image must coincide with that of cross hairs.
Focusing of Telescope :  The operation of obtaining a clear image of the object in the plane of cross hairs is known as focusing.
1. Diaphram :  A frame carrying cross hairs usually made of either silk thread or platinum wire and placed at the plane at which vertical image of the object is formed by the objective. Vertical hair of the diaphram enables the surveyor to check the verticality of levelling staff whereas horizontal hairs are used to read the staff graduations.
2. Level Tube :  Also known as Bubble  Tube consists of a glass tube placed in a brass tube which is sealed with plaster of paris.  The whole of the interior surface or the upper half is accurately ground so that its longitudinal section, is an arc of a circle.  Level tube is filled with either or alcohol, the remaining space is occupied by an air bubble.  The centre of air bubble always rest at the highest point of the tube. Outer surface of the bubble tube is graduated in both the directions from the centre. The line tangential to the circular are at its highest point i.e. the middle of tube is called the axis of bubble tube.  When the bubble is central the axis of bubble becomes Horizontal. The level tube is attached on the top of Telescope by means of capstan headed nuts.
3. Levelling head :  Levelling head generally consists of two parallel plates with 3 foot screws.  Upper plate is known as Tribrach and lower plate is trivet which can be screwed on to the tripod.  Levelling head has to perform three distinct functions :
i)  to support the telescope
ii) to attach the level to the tripod
iii) to provide a means for level (foot screws)
Adjustments of level :
(i)  Temporarily Adjustments – adjustments which         are made for every setting of a level.
(ii) Permanent adjustments- required if some error is there in instrument. 
      (i)  Temporary Adjustments : includes
            a) setting up the level
            b) levelling up
            c) elimination of parallax
a) Setting up the level :  This operation includes fixing the instrument on the tripod and also approximate levelling by leg adjustment.
b) Levelling up :  Accurate levelling is done with the help of foot screws and by using plate levels.  The object of levelling up the instrument is to make its vertical axis truly vertical.
c) Elimination of parallax :  If the image formed by the objective does not lie in the plane of the cross hairs,  there will be a shift in the image due to shift of the eye.  Such displacement of image is termed as parallax.  Parallax is removed in two stages.
1)  Focusing the eye for distinct vision of cross hairs.
2)  Focusing the objective so that image is formed in the plane of cross hairs.
Levelling staff
It is an important accessory used with levelling instrument at the time of conducting levelling survey.  Reading is taken on the levelling staff held properly at the point concerned by viewing through the telescope of the levelling instrument.  Usually 4 m levelling staff may be used of folding type or telescopic type.  Aluminium levelling staff foldable at every metre length has also came to the market.  The levelling staff consists of three pieces.  The topmost one slides into the middle one and the middle portion slides into the bottom one.  When the staff is fully pulled, it will read exactly 40 decimeters (4m) from the bottom shoe.
Graduation in levelling staff:
·          Every metre length is divided into 200 divisions.
·          The divisions are painted in black and white alternately of thickness 5 mm each.
·          The graduation figures are marked at every decimeter length.
·          The number indicating metre is in red and the decimeter number is in black.
·          Thus, a graduation figure of 24 indicates 2 metres and 4 decimeters.
·          The graduation are made continuously one above the other in the same line.
·          The division lines should be parallel to the base of the bottom shoe and perpendicular to the length of the staff.
·          The edges of the division lines should be straight sharply defined.
·          They should be clear and made distinctly visible by properly contrasting.

·          The graduation colour paints used should not crack or blister when exposed to adverse or atmospheric conditions.

Lesson Note On Radiation, Intersection and traversing

Lesson: Radiation, Intersection and traversing

Methods of Plane table Surveying
1.Radiation method
2. Intersection method
3. Traversing method
1.RADIATION METHOD
The plane table is set up over only one station from which the whole traverse can be commanded. It is suitable for survey of small areas.
Procedure:
1) Select a point “O ” so that all points to be located are visible from it.
2) Set up the table at “O”, level it, and do centering.
3) SELECT A POINT “O” on the sheet so that it is exactly over station “O” on
4) Mark the direction of the magnetic meridian
5) Centering the alidade on “O” BISECT the objects of traverse A, B, C and D.
6) Measure the distances OA, OB, OC and OD and plotted to convenient scale to locate a, b, c and d respectively
7) Join the points a, b, c and d on the paper.
Description: Module 5 Lesson 8  fig.8.1
Fig. 8.1 Radiation method
2.INTERSECTION METHOD
In this method the plane table is shifted to a known distance in a particular direction marked on the ground and the line of sights are drawn to make intersection of the radial lines already drawn from the first set up of the instrument.
PROCEDURE:
1) Select two points P and Q such that the points (building corners) to be plotted are visible from their stations.
2) Set the table on P and locate on the sheet.
3) Pivot on P bisect Q draw a ray.
4) Measure the distance PQ and locate Q on the sheet to a convenient scale.
5) Now PQ is known as the base line.
6) Pivot ‘P’ bisects the inaccessible objects A and B (building corners) and draw rays.
7) Shift the table to ‘A’ such that P is over Q and do temporary adjustments.
8) Place the alidade along QP and the rotate the table till P is bisected, clamp table.
9) Pivot on Q bisect the objects A and B and draw rays.
10) The instruction of rays drawn from P and Q will give the points A and B.
11) To check the accuracy measured AB and compare with plotted distance AB.
12) The same procedure is applied for other features of the campus. each point is bisected from two stations.
Description: Module 5 Lesson 8  fig.8.2     
            Fig. 7.2  Intersection method
3.TRAVERSE METHOD
We can traverse an area with the plane table along the boundry to prepare the map or plan of the area.
PROCEDURE:
1) Select the traverse stations A,B,C,D,E etc on the ground.
2) Set the table on starting station ‘a’ and perform temporary
adjustments.
3) Mark the magnetic meridian.
4) Locate A on the sheet as ‘a’.
5) Pivot on ‘a’ bisect the next station B and draw a ray
6) Measure the distance AB and locate ‘b’ on the sheet with a suitable scale.
7) Shift the table to next station B, set the table over B, and do temporary adjustments.
8) Place the alidade along ‘ba’ and bisect A for doing orientation of plane table.
9) Pivot on b bisect c draw a ray
10) Measure the distance BC and locate ‘c’ on the sheet with the suitable scale.
11) Report the same procedure at every successive station until the traverse is completed.
NOTE: By using radiation method, intersection and traversing methods we can locate the points on the paper, which were already on the ground. By using algebraic formulae, we can calculate the area of the given land.
FORMULAE:
1) Area of a triangle = ½ * base *height
2) Area of a square = side * side
3) Area of a rectangle = length * breadth
4) Area of a trapezium = ½ * (a + b) * h
            A, b are the parallel sides. h is the distance between parallel sides.
Description: Module 5 Lesson 8  fig.8.3
Fig 7.3 Traversing method
Description: Module 5 Lesson 8  fig.8.4 


Lesson Note On Plane table surveying

Lesson Plane table surveying
 Plane Table Surveying
·         Plane table surveying is a graphical method of surveying in which the field works and the plotting is done simultaneously. It is particularly adopting in small areas mapping. Plane table surveying is used for locating the field computation of area of field.
Merits
·         It is most suitable for preparing small scale map or surveying small area.
·         It is most rapid method.
·         Field book is not necessary.
·         No great skill is required for satisfactory map.
·         It is particularly suitable for magnetic area where prismatic compass is not reliable.
·         Contour and irregular object may be represented accurately.
·         It is less costly.
Demerits
·         Plane Table Essentially a tropical instruments.
·         It is not suitable to work in wet climate.
·         There are several accessories  to be carried out and therefore they are likely to be lost.
·         It is not suitable for accurate work.
Plane Table essentially consists of a Drawing board mounted on tripod stand  and Alidade.
1. Drawing board mounted on tripod
A sheet of drawing paper, called plane table sheet is fastened to the  board. Board is made up of well seasoned wood such as teak of size 40x30 to 75x60cm. it had plane and smooth top. It is mounted on a tripod in manner that it can be leveled. Leveling up of the table is done by shifting the legs of tripod. Some tripod provided with leveling screw or by ball and socket head for accurate leveling.
2. Alidade:
Alidade consists of two vertical sight vane fitted at end the end of straightedge. The straight edge ruler usually made of brass or teak wood graduated beloved edge. One of the sight veins is provided with narrow slit and the other with a central vertical wire or hair. Beveled working edge alidade is called fiducial edge.
Description: Module 5 Lesson 7  table7.1 
Fig. 6.1 Plane table with Alidade
Accessories used in Plane Table surveying are
1. Trough compass
2. U – frame or plumbing fork
3. Water proof cover.
4. Spirit level or level tube
5. Drawing sheet
6. Pencil or eraser
Description: Module 5 Lesson 7  table7.2 
Fig. 6.2 Accessories in Plane Table surveying
Trough compass: The compass is used to mark the direction of the meridian on the paper.
U- frame or Plumbing fork: U frame with a plumb bob used for centering the table.
Water Proof Cover: Water Proof cover protects the sheet from rain.
Spirit level or level tube: A level tube is used to level the plane table.
Drawing sheet: The drawing sheet is fixed on the top of the drawing board.
Pencil and eraser: A pencil is used for constructing lines and eraser is used for erasing lines after completion of the plan.
Operations involved in Plane Table Surveying
SETTING UP THE PLANE TABLE
The setting up the plane table includes the following three operations.
1. Centering the plane table
2. Leveling the plane table
3. Orientation of plane table
CENTERING THE PLANE TABLE:
The table should be set up at a convenient height for working say about 1m. The legs of tripod should be spread well apart and firmly fixed in to the ground. The table should be approximately leveled by tripod legs and judging by the eye. Then the operation of centering is carried out by means of U-frame and plumb bob. The plane table is exactly placed over the ground station by U-frame and plumb bob.
LEVELING THE PLANE TABLE:
The process of leveling is carried out with the help of level tube. The bubble of level tube is brought to center in two directions, which are right angles to each other. This is achieved by moving legs.
ORIENTING THE TABLE:

The process of keeping the plane table always parallel to the position, which is occupied at the first station, is known as orientation. When the plane table is oriented, the lines on the board are parallel to the lines on the ground.