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Math Help - applying Math to Surveying

  1. #1
    Newbie
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    applying Math to Surveying

    Hi,

    I am not sure if i have posted this question in rite forum.
    it would be great if anyone can help me or give a tip of where to start from.

    Refering to the attached doc.
    Calculated the distances for boundary lines EF,FG,GH,HI,IJ and JA.
    Calculated the bearing and distances for the half anges lines BI,CH and DG.
    Attached Files Attached Files
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  2. #2
    Super Member
    Joined
    Jan 2009
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    Quote Originally Posted by masiboy View Post
    Hi,

    I am not sure if i have posted this question in rite forum.
    it would be great if anyone can help me or give a tip of where to start from.

    Refering to the attached doc.
    Calculated the distances for boundary lines EF,FG,GH,HI,IJ and JA.
    Calculated the bearing and distances for the half anges lines BI,CH and DG.
    To your document:
    add points x & y
    Code:
     
     
                                  /
     B____x______________________/
     /                           C       /
    /                                   /
          _____________________________/
         /I                      y     H
        /
       /
      /
    Construct point x:
    Draw a line perpendicular to line BC, that
    passes through point I.
    Where the perpendicular line intersects the line BC,
    call that point x
    To clarify: angle BXI is 90 degrees.
    (and,also angle HIX is 90 degrees.)

    Line BC and Line JH are parallel, being 10m apart.
    The distance between point x and point I is 10m.

    Azimuth AB= 065:00:00 (65 deg 0 min 0 sec)
    Azimuth BC= 128:30:00 (128 deg 30 min 0 sec)

    The angle ABC is 116:30:00 (116 deg 30 min)
    Lines AB & JI are parallel and Lines BC & IH are parallel

    The angle CBI is half of angle ABC.
    Angle CBI is 58deg 15min 00sec ( 58.25 degrees ) [15min is 0.25deg]
    Distance BX = 10 Cotan(58.25deg) = 6.188


    Construct point y:
    Draw a line perpendicular to line IH, that
    passes through point C.
    Where the perpendicular line intersects the line IH,
    call that point y
    To clarify: angle BCY is 90 degrees.
    (and,also angle IYC is 90 degrees.)

    Line BC and Line IH are parallel, being 10m apart.
    The distance between point y and point C is 10m.

    Azimuth BC= 128:30:00 (128 deg 30 min 0 sec)
    Azimuth CD= 074:40:00 (74 deg 40 min 0 sec)


    The angle BCD is 126:10:00 (126 deg 10 min 0 sec)


    The angle IHC is half of angle BCD.

    Angle IHC is 63deg 5min 00sec ( 63.08333333 degrees ) [ 5min is 0.0833333333 deg]

    Distance HY = 10 Cotan(63.08333333deg) = 5.077

    The external or outside angle of ABC is the
    same as the external or large angle of JIH
    which is 360deg minus 116deg30min = 243:30:00

    Distance BC is 50.29
    Distance IH is 50.29 minus distance BT plus distance HY.

    IH = -6.188 + 50.29 + 5.077 = 49.179

    :::

    Use the same process to determine distance HG.

    for line JI:

    The angle BAJ is 103deg30min
    The adjustment along line IJ at point A will be
    Tan(13deg30min)*10 = 2.401

    for line FG:
    the angle DEF is 139deg49min
    the adjustment along line FG at point E will be
    Tan(49deg49min)*10 = 11.840

    As a check:
    distance IJ: 56.50 - 6.188 + 2.401 = 52.713
    distance FG: 60.50 - 6.766 +11.840 = 65.574

    That is the idea. You should be able to complete the other required distances.
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  3. #3
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648

    A passing thought

    during surveying, we usually apply correction to angles before calculating distances. Be sure to check out that the sum of all internal angles(calculated with given values) comes out to be 1440 degrees. If it comes, then the above answers are correct....otherwise firstly you will have to correct angles and then apply the procedure given by AIDAN.
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  4. #4
    Newbie
    Joined
    Apr 2009
    Posts
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    thanks AIDAN..thanks for the help,got the idea and now can complete the rest.

    and yes Malay all the internal angles adds up to 1440 degrees,thanks for the Survey tip
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