Chapter7 :Directions , Azimuths, and Travers

Lecture notes on directions and azimuths:   Azimuth

 Lecture notes on traverse calculations         Traverse calculations

Mean of F.L and F.R, the reverse problem, and intersection :   F.L FR ,VERTICAL ANGLE, REVERSE,INTERSECTION

The Theodolite and Angle Measurements      The theodolite and angles

Short- leg Traverse- Students Practical  28-4-2013          Traverse :Students results

Download the  following programs, designed by Mr Anas W. Teaching assistant at the School of Engineering/ University of Duhok.

1-coordinate geometry and calculation  

http://hwy.uod.ac/wp-content/uploads/2011/10/Digital-Theodolite-V1.0.zip

2-  Traverse calculations

http://hwy.uod.ac/wp-content/uploads/2011/10/Traverse-V1.5.zipe

Exercises

1-In the figure below the coordinates of B=(1000,1000)m, C=(1200,900)m. The angle to the right were measured as follows:

 < ABC=275˚  20′  <DAB=85˚ 17′  < BAE=92˚  23′   <EAF=96˚  28′    

 length of AD,AB,AE,AF =100m. Calculate the coordinates of points D,E,F. 

2-  The following angle to the right were measured:

   <ABC= 43˚ 22′ ,  <BCD= 273˚ 35′  , <CDE= 58˚ 48′ , <DEF=243˚ 18′

   If the azimuth of line AB=195˚ 12′    and EF=94˚  23′     ,calculate the adjusted azimuth of lines   BC,CD,DE

3-The following departures and latitudes were measured,

1-    Draw the traverse.      2- If the coordinates of point A=(1000,1000)m, calculate the adjusted coordinates of points B,C,D

4-In the traverse ABCDA the following azimuths were known

1-plot the traverse

2-calculate the angles to the right <ABC, <BCD

3-if the length of the lines AB,BC,CD=100m,calculate the length

  of the line AD

 5-The following readings of horizontal angles were recorded using a theodolite instrument

If the coordinates of point A=(1000,1000), B=(1200,850),calculate the azimuth of line BC.     

6-  The following are the corner coordinates of the traverse ABCDEA

1-Using suitable scale, draw the traverse

2-Calculate the area enclosed by the traverse

3-Calculate the interior angles  ABC,  BCD

7-In the traverse ABCDE the folowing angles to the right were measured:

ABC= 255º 14΄                BCD= 115º 22΄     CDE=98º 43΄

If the coordinates of C=(500,500),  D=(700,850)m and length of AB,BC,DE=350m, calculate the coordinates of points: A,B,E

8-The following readings of horizontal angles were recorded using a theodolite instrument

If the azimuth of line AB=241º15΄,calculate the azimuth of line BC.                              

9-  Prepare a setting out table to set out the figure below using a theodolite and tape. Theodolite station at point 1. Zero horizontal angle towards point 2  

10-the corner coordinates of a piece of land is given in the table   

1-    Use a suitable scale to plot  these points

2-    Calculate the ground area ABCDEA

3-    If this area was plotted using a scale= 1/2000 , what would be the plotted area  in cm².

11-The following table shows the horizontal circle readings using a theodolite instrument at point B

if the azimuth of line AB= 144°  34´

calculate the azimuth of lines BC,BD,BE

12 -Prepare a setting out table to set out the figure below using a theodolite and a tape. The position of the theodolite is at point 1. Zero horizontal angle towards point 2.    The curve on the top of the figure is circular having a radius=30m

13-  In the triangle ABC, coordinates of A=(1000,1000)m, B(1200,850)m

Angle to the right <CAB= 55° ,  <ABC=45°   calculate the coordinates of point C

14-A total station instrument was set up over  point A (100,100,500)m. H.i=1.5m. The horizontal angle was set to    00ْ 00’ 00” towards point B (50,150). The horizontal angle towards point C=43ْ 23’ 28”, the slope distance AC=123.87m, the vertical angle measured towards point C=+4ْ  13’ 27” , the height of reflector held on C=2.00m.            1-draw the three points A,B, and C    2- calculate  the expected coordeinates of point C (X,Y,Elev.)