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Measurement of Horizontal and Vertical Angle - Memorial University ...

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ENGI3703- Surveying <strong>and</strong> Geomatics Fall 2007<br />

Lab 3: <strong>Measurement</strong> <strong>of</strong> <strong>Horizontal</strong> <strong>and</strong> <strong>Vertical</strong> <strong>Angle</strong><br />

Objective: To motivate the students to use the techniques <strong>and</strong> present the concepts <strong>of</strong> angles<br />

<strong>and</strong> coordinates.<br />

Preparation: Read chapter 8 in the Elementary Surveying, 11 th ed. Textbook.<br />

Overview: Determining the relative position <strong>of</strong> points <strong>of</strong>ten involves measurements <strong>of</strong> both<br />

angles <strong>and</strong> distances. Therefore it is necessary to measure angles to a relatively<br />

high level <strong>of</strong> accuracy.<br />

Instruments to be used: Check out the following equipment:<br />

Procedure:<br />

<strong>Memorial</strong> <strong>University</strong> <strong>of</strong> Newfoundl<strong>and</strong><br />

1. Transit or repeating Theodolite<br />

2. Tripod<br />

3. Two range poles<br />

4. Five pegs<br />

5. Plumb bobs<br />

1. Students are divided into groups. Each group does the prescribed exercise.<br />

Each student records his/her own measurements in his/her field book.<br />

2. Lab instructor will demonstrate setup <strong>and</strong> operation <strong>of</strong> the theodolite.<br />

3. Using the provided transit or theodolite set up the instrument over a point<br />

(assigned by the instructor). Choose four other different points around 360 0<br />

sweep. Use one <strong>of</strong> the chosen points as starting point (as a reference).<br />

4. Measure <strong>and</strong> record the clockwise horizontal angles between the reference<br />

point <strong>and</strong> the other three chosen points with the provided instrument. Make<br />

one set <strong>of</strong> measurements with normal scope position <strong>and</strong> another one with<br />

turned over (‘Plunged’) position.<br />

5. Follow these steps when turning each horizontal angle:<br />

a. Allow two persons at both the backsight point <strong>and</strong> foresight point to<br />

hold the range poles above the chosen points.<br />

b. Set the horizontal circle to 0º 00’ 00”<br />

• For initial setup, align the upper motion mark <strong>and</strong><br />

intermediate plate mark. While looking through the reading<br />

sight, slowly adjust the plate until the view reads zero (see<br />

illustration below). Lock the upper motion <strong>and</strong> adjust by<br />

rotating the upper motion adjustment dial.<br />

1


ENGI3703- Surveying <strong>and</strong> Geomatics Fall 2007<br />

Classroom work:<br />

<strong>Memorial</strong> <strong>University</strong> <strong>of</strong> Newfoundl<strong>and</strong><br />

c. Sight the backsight using the LOWER MOTION<br />

• Lock the Lower motion <strong>and</strong> adjust until the vertical crosshair<br />

splits the string line <strong>of</strong> your rodperson.<br />

d. Turn to the foresight using the UPPER MOTION<br />

• Unlock the upper motion <strong>and</strong> advance to your foresight point.<br />

Use the lock <strong>and</strong> adjustment on the upper motion only.<br />

e. Record horizontal angle to the nearest ¼ minute (15”)<br />

f. Turn the telescope in “Plunged” position <strong>and</strong> backsight using the<br />

LOWER MOTION<br />

• Unlock the lower motion <strong>and</strong> turn back to your backsight<br />

point. Lock <strong>and</strong> adjust using only the lower motion. You will<br />

notice your reading will not change during this step.<br />

g. Turn to the foresight again using the UPPER MOTION, using the<br />

same instructions as before to turn to the foresight point.<br />

h. Record second horizontal angle, which should be double the first<br />

angle.<br />

i. Divide the second reading by two (2) <strong>and</strong> compare with the first<br />

reading (should be within 30” <strong>of</strong> the first reading)<br />

6. Choose a point situated well above the ground <strong>and</strong> with the transit or with the<br />

theodolite measure the vertical angle between the horizontal plane <strong>and</strong> the top<br />

<strong>of</strong> the confederation building.<br />

Note:<br />

♦ Make it sure the instrument is leveled properly before measurements.<br />

♦ Original measurements are to be documented (including a sketch) in the<br />

field book.<br />

1. Calculate the sum <strong>of</strong> all angles, <strong>and</strong> check against 360 0 .<br />

2. Summarize your data <strong>and</strong> provide average angles measured with the<br />

instrument by you <strong>and</strong> by other members <strong>of</strong> your group.<br />

3. Evaluate your results by comparing the average angle obtained by your group<br />

members.<br />

4. Evaluate the errors you may have committed during measurements.<br />

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ENGI3703- Surveying <strong>and</strong> Geomatics Fall 2007<br />

<strong>Memorial</strong> <strong>University</strong> <strong>of</strong> Newfoundl<strong>and</strong><br />

3

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