Fundamentals of Drawings and Surveying

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    TASK 04

    (A) Dehiwala Municipal Council of Srilanka has decided to develop the road leading to

    Frazer ground from Galle road. Assume you have been appointed as an officer in charge

    of this development and required to submit a report after completing the following

    activities.

    I. Identify appropriated instruments and equipments for the above particular jobII. Set up, complete all temporary adjustment and use the appropriate instrument for

    above typical surveying task

    III. Explain the method of carrying out a leveling work.IV. Compute reduce levels and determine the errors in leveling.V. Plot the profile of existing road on longitudinal section to a scale of 1: 500 and 1: 100

    (B) Dehiwala Municipal Council of Srilanka has decided to develop the Frazer ground.

    Assume you have been appointed as an officer in charge of this development and required

    to submit a report after completing the following activities

    I. Identify appropriate instruments and equipments for the above particular jobII. Set up, complete all temporary adjustment and use the appropriate instrument for

    above typical surveying task.

    III. Explain the method of carrying out a traverse work.IV. Complete the coordinate sheet of it by taking the coordinates of the point A as

    V. Plot the traverse and its details to a suitable scale on A3 sheet.VI. Determine the area of the plotted land and discuss its accuracy.

    North East

    1000 1500

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    TASK 04

    A.

    1. Identify appropriated instruments and equipments for the above particular job

    There are different types of instruments are used in leveling. But, we can define some of

    them. They are given below,

    INSTRUMENTS

    Tapes Compass

    Ranging rods Plumb bob Tripod Leveling instrument Staff Field book Pen

    Tapes

    Tapes are mostly important for the leveling work. The following are the various types of

    tapes

    1. Cloth tape or Linen tape2. metallic Tape3. Steel tape4. Invar tape5. Synthetic Tape

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    Cloth tape or Linen tape

    Our site we use this type of tape. It is made of varnished strip of woven linen 12 to 15

    mm wide. It is available in lengths of 10m, 20m and 30m. It is very light and handy. It shrinks

    when it is wet. It is likely to twist and tangle. So it is little used in surveying, but can be used

    for taking subsidiary measurements such as offsets of a building.

    Compass

    It is like compass. It may consist of a level tube and a compass. It is using for different

    purpose in different places. It is uses to level the tripod.

    Plumb bob

    Fig.4. Plumb bob

    Plumb is a ball made of brass or bronze, of the shape of a pear. It has a fine steel point.

    There is a hook at top for attaching a string of nylon. Its length is about 50mm. the plumb bob

    is used for measuring distances on sloping ground. It is also used in the centering of various

    instruments such as magnetic compass, plane table, Dumpy level or a theodolite etc.

    Fig.2. Cloth Tape

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    Tripod

    A surveyor's tripod with a shoulder strap. The head of the tripod supports the instrument

    while the feet are spiked to anchor the tripod to the ground. A surveyor's tripod is a device

    used to support any one of a number of surveying instruments, such as theodolites, total

    stations levels or transits. Tripod is an important instrument in the surveying. Three legs are

    available in tripod. Its three legs are fixed in a horizontal plate. We can increase or decrease

    their legs. We can fix the telescope in horizontal plate.

    Fig.5.Tripod

    Ranging rods/ pole:

    Ranging rods are used to marking a point in such a direction that the position of the

    point. So, it is used to mark the measurement along the time. The length of the ranging rod is

    either 2m or 3m.

    They are shod at bottom with a heavy iron point. Ranging rods are divided into equal Parts

    0.2m long and they are painted alternately black and white or red and white. When they are at

    considerable distance, red and white or white and yellow flags about 25 cm square should be

    fastened at the top

    Fig.3. pole

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    Leveling Instrument:

    Level is an instrument to take the vertical distance of points by obtaining the staff clearly. It

    is also designed to give horizontal line of collimation.

    Generally, level is two types. Namely,

    Dumping level Tilting level

    Fig.6.level

    Telescope staff:

    These are made of magohoney or metal. Staff lengths are 3m, 4m, or 5m, extension each

    meter length of staff is divided into 200 divisions of each 5mm.

    There are different types of staffs are used in leveling. They are usually made of rigid

    fiberglass. The most common staffs are graduated in meters, decimeters, and centimeters. The

    two most common types of staff faces are the E typeface or the 5mm graduated face. The

    staff should be held vertical over the point to be measured with the face of the staff pointingtowards the level.

    Fig.7. leveling staffs

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    2. Set up, complete all temporary adjustment and use the appropriate instrument for

    above typical surveying task

    1. Position the tripod. Place the instrument on a stable surface in a position where you can

    see all the levels to be taken. Try to position the instrument evenly between the points

    you need to sight. It is important to make sure you have a clear line of sight.

    Fig.8.Tripod

    2. Adjust the tripod. Make sure that the tripod legs are spread evenly and the platform

    where the instrument will sit is fairly level. Adjust the tripod to suit your own height, then

    tighten the clamps. Remember not to use excessive force on the screws and clamps.

    Fig.9.

    3. Attach the leveling instrument. Lift the instrument using both hands and place it on the

    tripod. Keep the instrument stable with one hand while you use the other to tighten the

    retaining screw in between the legs. Only when the retaining screw is tightened can you

    release your grip on the instrument.Make sure the instrument is

    securely fixed.

    Fig.10. level

    4. Adjust for parallax. Because people's eyesight varies, you may have to adjust the

    instrument so it will enable you to take accurate readings. If you find that when you look

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    2. Zoom in: look through the eyepiece and zoom in on the staff by turning the

    focusing knobs on the side of the telescope until you can read the marks clearly.

    Fig.14.Staff

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    3. Explain the method of carrying out a leveling work.

    Step-By-Step Instructions for Leveling a Staff Gage

    Leveling a staff gage requires several steps.

    1. Find a Bench Mark (or Reference mark) which will be your starting elevation.

    2. Convert this elevation to elevation above Gage Datum if necessary.

    3. Ready your equipment (level, tripod, and rod).

    4. Pick an initial placement for the tripod and level.

    5. Level the instrument on top of the tripod.

    6. Look through the instrument and take Backsight reading.

    7. Calculate the Height of Instrument (HI).

    8. Have person with rod move to next location (Temporary Bench Mark) and take a Foresight

    reading.

    9. Calculate the elevation of the ground at a second location known as a Temporary

    BenchMark (TBM2).

    10. Repeat steps 3 - 8 as necessary until you reach the desired location of the staff gage.

    11. Set Staff Gage.

    12. Recheck Elevations.

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    4. Compute reduces levels and determines the errors in leveling.

    Station B.S IS F.S H.I R.L Distance

    B.M 1.170 101.170 100.000

    1 1.400 99.770 0

    2 1.315 99.855 10

    3 1.410 99.760 20

    4 1.367 99.803 30

    T.P 1 1.393 1.224 101.339 99.946

    5 1.393 99.946 40

    6 1.380 99.959 50

    7 1.483 99.856 60

    8 1.580 99.759 70

    9 1.621 99.718 77.54

    T.P 2 1.100 1.380 101.059 99.959

    1.041 100.018

    Check 3.663 3.645 100.000

    3.663 100.018

    Rise (- 0.018) Rise (- 0.018)

    Table No 1

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    B.

    1. Identify appropriate instruments and equipments for the above particular job

    There are different types of instruments are used in traverse. But, we can define some of

    them. They are given below, Some instruments details are given for leveling work.

    INSTRUMENTS

    Tapes Compass Arrows Ranging rods Pegs Plumb bob Tripod Theodolite Field book Pen

    Tapes

    Tapes are mostly important for the leveling work. The following are the various types of

    tapes

    1. Cloth tape or Linen tape2. metallic Tape3. Steel tape4. Invar tape5. Synthetic Tape

    Fig.1. Tapes

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    Compass

    It is like compass. It may consist of a level tube and a compass. It is using for different

    purpose in different places. It is uses to level the tripod.

    Arrows

    It is used to mark the end of the each chain during the chaining process. Arrows are

    made of good quality hardened steel wire of 4 mm diameter The arrows are made 400 mm

    in length, are pointed at one and the other end is bent into a loop or circle. Here this particular

    traverse practical, we used the arrow is in replaced the peg.

    Fig.15. Arrows

    Pegs

    It is made of hard wood and is 2.5 cm square in cross-section and 150 mm long. It is

    tapered at other and to facilitate easy driving. It is used to mark the position of the survey

    station or end points of a survey line. The pegs are driven into the ground using a mallet or

    wooden hammer such that its length of about 40 mm project above the surface of the ground.

    Fig.16.Peg

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    Theodolite

    A theodolite is an instrument for measuring both horizontal and vertical angles, as

    used in triangulation networks. It is a key tool in surveying and engineering work, but

    theodolites have been adapted for other specialized purposes in fields like meteorology and

    rocket launch technology. A modern theodolite consists of a telescope mounted movably

    within two perpendicular axes, the horizontal or turn-on axis, and the vertical axis. When the

    telescope is pointed at a desired object, the angle of each of these axes can be measured with

    great precision, typically on the scale of arc seconds.

    Fig.17.Theodolite

    Plumb bob

    Fig.4. Plumb bob

    Plumb is a ball made of brass or bronze, of the shape of a pear. It has a fine steel point. There

    is a hook at top for attaching a string of nylon. Its length is about 50mm. the plumb bob is

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    used for measuring distances on sloping ground. It is also used in the centering of various

    instruments such as magnetic compass, plane table, Dumpy level or a theodolite etc.

    Tripod

    A surveyor's tripod with a shoulder strap. The head of the tripod supports the instrument

    while the feet are spiked to anchor the tripod to the ground. A surveyor's tripod is a device

    used to support any one of a number of surveying instruments, such as theodolites, total

    stations levels or transits. Tripod is an important instrument in the surveying. Three legs are

    available in tripod. Its three legs are fixed in a horizontal plate. We can increase or decrease

    their legs. We can fix the telescope in horizontal plate.

    Fig.5.Tripod

    Leveling Instrument:

    Level is an instrument to take the vertical distance of points by obtaining the staff clearly. It

    is also designed to give horizontal line of collimation.

    Generally, level is two types. Namely,

    Dumping level Tilting level

    Fig.6.level

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    Telescope staff:

    These are made of magohoney or metal. Staff lengths are 3m, 4m, or 5m, extension each

    meter length of staff is divided into 200 divisions of each 5mm.

    There are different types of staffs are used in leveling. They are usually made of rigid

    fiberglass. The most common staffs are graduated in meters, decimeters, and centimeters. The

    two most common types of staff faces are the E typeface or the 5mm graduated face. The

    staff should be held vertical over the point to be measured with the face of the staff pointing

    towards the level.

    Fig.7. leveling staffs

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    2. Set up, complete all temporary adjustment and use the appropriate instrument for

    above typical surveying task.

    1. Open the legs of the tri pot & adjust the length of them about that the instrument whenfitted will be at a convention type clamp the legs & by estimation set up the tri pot

    over the station.

    2. Remove the Theodolite from its box noting how it was fitted bolt is centrally on thetri pot head & set the foot screw to the middle of their travel.

    3. Tread & tri pot foot in to the ground & looking through the optical planet poison theother two legs show that the station appears central, thread in the other two feet on a

    hard smooth surface the tri pot feet must be prevented from sliding out words bricks

    or concrete blocks and be placed against them.

    4. If the station appears longer central in the plummet turn the foot screw until itreappears central.

    5. Mark the instrument level by shortening or lengthening of tri pot legs check with thebulls eye bubble is fitted other wise set the plate bubble parallel to the line between

    two leg shortening or lengthening them to centre the bubble, turn the validate through

    90 & re centre the bubble by adjusting the tri pot legs.

    Repeat this process until the bubble is with in two division of central site through

    the optical plummet if the instrument is not its still approximately re centre it by

    relax the securing bolt (clamp)sliding the Theodolite horizontally & tittering the

    clamp or bolt.

    6. Finally level the Theodolite using the foot screws set up the plate bubble parallel tothe line through two foot screws and turn these screws in opposite to bring the bubble

    central, turn the alidade through 90 & re centre the bubble using the third food screw

    return the bubble to its original position & repeat the procedure until the bubble

    remain central in both position the bubble follows the moment of the left thumb.

    If the bubble is correctly set in its mountain it will remain central but ever its

    disposition this may be check by turning the alidade through 180 from the 1stposition

    if the bubble moves off center it should be brought have way back with the foot

    screws & further adjustment made (with all foot screws) show that the bubble remain

    in this position.

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    Fig shows the plate with the bubble in its various position

    Fig.18. Adjustment

    7. Precisely central the Theodolite loosen the loosen the clamp or bolt and care fullyslide the instrument site ways till the station appears central in the optial plummet,

    where central use is below the foot screw take care or instrument or leveling will be

    disturb tighten or the bold of clamp

    8. Repeat step 6 & 7 until the Theodolite remain level & centre

    9. Sitting a plane back ground rotate the eye piece to focus the cross hair or target

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    3. Explain the method of carrying out a traverse surveying

    Traverse field work may be described by a series of steps as follows:

    1. Choose positions for stations as close as possible.2. Mark the stations by stakes with tacks or stone or concrete monuments set flush with

    the ground, with a precise point marked on the top by a chiseled cross, drilled hole, or

    bronze tablet.

    3. Adjust the theodolite Turn the leveling screws in opposite directions until mercury bubble comes

    middle of circle

    Turn the theodolite to 90 degrees and level the theodolite4. Make angle and length measurements.5. Place signals at each stations

    A range pole stuck in the ground can be used for taping. A range pole carefully balanced and held on the point is used for measuring

    angles.

    For a short course, a plumb bob can be held over the point, or a pencil can be

    balanced on the point for angle measurement.

    Traverse surveying method

    Drawing a recognition diagram.To get a basic idea we use recognition diagram. Here we identify the important

    points and draw a temporary diagram.

    Identify the survey stations.(a)We identify at four inter visible points.(b)Adjoin points should be inter visible.(c)Mark the points with pegs(d)Label the pegs

    Group or survey number (use identical color)

    Station number (mark clock wise)

    (e)Mark points on recognition diagram

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    Take tie measurement.(a)Two points enough for measurement we get the third point for checking

    purpose.

    (b)The point should be marked before measurements in trees and walls Take the offset.

    Select base line (line with maximum length)

    Offsettake the minimum distance from the main line.

    Details should be included in the drawing.

    Offsets.1) Perpendicular Possibility distance 5 m

    Recordings

    , chain age, offset

    Measuring the perpendicularity.

    2) Oblique offsetsTake two readings

    Side offset

    P2

    L.H. R.H.

    P1

    ` Measure distances of checking lines.

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    1. Systematic errorserrors in instrument, theory behind the practical work.Example reading can be varying due to the temperature.

    Difference between our tape and slandered tape.

    These types of errors can be ignored.

    2. Accidental error

    Incorrect reading of tape - we use proper tape Incorrect plumbing - we plumb correctly Wind blowing against the tape - dont use tapes during wind3. Mistakes

    Misreading the number - check more than one time Recording numbers incorrectly - recode more than one time Using wrong zero position - check more than one time Omitting the tape length - make sure not omitted

    Tape can be touch with other object. - make sure not touched

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    4. Complete the coordinate sheet of it by taking the coordinates of the point A as

    Station Angles Length (m)

    ND 189 52' 40"

    A 87 44' 20" AB65.06

    B 92 41' 20" BC61.44

    C 82 27' 40" CD65.96

    D 97 14' 00" DA55.80

    Total 360 07' 20" 248.26

    Table No 01

    Total Error = 360 07' 20" - 360

    = 00 07' 20"

    = 00 07' 20'/4

    = 00 01' 50"

    Correction of Angular Error

    Point Angle Error CorrectedAngle

    A 87 44' 20" 00 01' 50" 87 42' 30"

    B 92 41' 20" 00 01' 50" 92 39' 30"

    C 82 27' 40" 00 01' 50" 82 25' 50"

    D 97 14' 00" 00 01' 50" 97 12' 10"

    Total 360 07' 20" 00 07' 20" 360 00' 00"

    Table No 2

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    WHOLE CIRCLE BEARING

    WCBwhole circle bearing

    WCB of AB = 189 52' 40" + 87 42' 30"

    = 27735' 10

    WCB of BC = 27735' 10 + 92 30' 30" + 180'

    = 550 14' 40"

    Deduct = 360 if answer is more than 360

    = 550 14' 40" - 360

    = 190 14' 40

    WCB of CD = 190 14' 40" + 82 25' 50" + 180

    = 452 40' 30" - 360

    = 92 08' 30"

    WCB of DA = 92 40' 30" + 97 12' 10" + 180

    = 369 52' 40" - 360

    = 9 52' 40"

    Station Corrected angle Line WCB

    ND 189 52' 40"

    A 87 42' 30" AB 277 35' 10"

    B 92 39' 30" BC 190 14' 40"

    C 82 25' 50" CD 92 40' 30"

    D 97 12' 10" DA 09 52' 40"Table No 03

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    latitude and departures computation

    Latitude = LCos

    L = length(m)

    = whole circle bearing

    Latitude AB = L Cos

    = 65.06 Cos 277 35' 10"

    = 8.58

    Line BC

    Latitude BC = L Cos

    = 61.44 Cos 190 14' 40"

    = - 60.46

    Line CD

    Latitude CD = L Cos

    = 65.96 Cos 9240' 30"

    = -3.07

    Line DA

    DA Latitude = L Cos

    = 55.80 Cos 9 52' 40"

    = 54.97

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    Line WCB Length Latitude

    AB 277 35' 10" 65.06 8.58

    BC 190 14' 40" 61.44 -60.46

    CD 92 40' 30" 65.96 -3.07

    DA 9 52' 40" 55.80 54.97

    Total 248.26 0.02Table No 04

    DA Departure = L Sin

    L = Length(m)

    = Whole circle bearing

    Departure AB = LSin

    = 65.44 Sin 27735'10"

    = -64.49

    Departure BC = LSin

    = 61.44 Sin 190 4' 40"

    = -10.93

    Departure CD = LSin

    = 65.965 Sin 92 40' 30"

    = 65.89

    Departure DA = LSin

    = 55.80 Sin 9 52' 40"

    = 9.57

    Line WCB Length (M) Latitude

    AB 277 35' 10" 65.06 -64.49

    BC 190 14' 40" 61.44 -10.93

    CD 92 40' 30" 65.96 65.89

    DA 9 52' 40" 55.80 9.57

    Total 248.26 0.04

    Table No 05

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    Total Error = ((0.02)2+ (0.04)2)1/2

    = 0.04

    Line WCB Length Latitude Error Corrected

    latitude

    AB 277 35' 10" 65.06 8.58 -0.01 8.57

    BC 190 14' 40" 61.44 -60.46 0.00 -60.46

    CD 92 40' 30" 65.96 -3.07 -0.01 -3.08

    DA 09 52' 40" 55.80 54.97 -0.00 54.97

    Total 248.26 0.02 -0.02 00.00

    Table No 06

    Line WCB Length Departure Error Correctedlatitude

    AB 277 35' 10" 65.06 -64.49 -0.01 8.57

    BC 190 14' 40" 61.44 -10.93 -0.01 -60.46

    CD 92 40' 30" 65.96 65.89 -0.01 -3.08

    DA 09 52' 40" 55.80 9.57 -0.01 54.97

    Total 248.26 0.04 -0.04 00.00

    Table No 07

    Station latitude Departure North EastA 1000 1500

    B 8.57 -64.50 1008.57 1435.5

    C -60.46 -10.94 948.11 1424.56

    B -3.08 65.88 945.03 1490.44

    A 54.97 9.56 1000 1500

    Table No 08