The document summarizes a student's fieldwork using a theodolite to conduct a traversing survey. Key details include:
- The student conducted a closed traverse survey with 4 stations, measuring angles and lengths between stations.
- Angular errors were distributed and angles were adjusted to total 360°. Station coordinates were then computed.
- Total angular error was -0°12'20" and total linear error was 0.0668m, yielding an accuracy of 1:2700, within acceptable limits.
- The fieldwork helped students learn skills like setting up a theodolite, measuring angles and distances, and adjusting data.
Plane and Applied Surveying 2
Traversing Theory Part
Traverse Computations
Definition
Types of Meridian
Applications of traversing
Bearings
Correction for observed angles (closed traverse)
Check angular Misclosure
Adjust angular Misclosure
Calculate adjusted bearings
Compute (E, N) for each traverse line
Coordinates.
-Traversing
Methods of conducting Traverse
1. Theodolite
2. Total Station
2. Compass
3. GPS
Bearings
Bearings
Bearing is the angle which a certain line make with a
certain meridian. Bearing with respect to true meridian is
called true bearings while magnetic bearing is the angle
which a line makes with respect to magnetic meridian.
There are two ways to represent the bearings,
Fore and back bearings
Whole circle bearing (W.C.B) ,(Azimuth)
Reduced Bearing (R.B) or quadrant bearing
6 The bearing of a line measured in the forward direction of survey line is called the ‘Fore Bearing’ (FB) of that line.
The bearing of the line measured in the direction opposite to the direction
of the progress of survey is called the ‘Back Bearing’ (BB) of the line.
BB= FB ± 180°
+ sign is applied when FB is < 180°
- sign is applied when FB is > 180°
1) Whole Circle Bearing (W.C.B) (Azimuth)
Is the bearing always measured from north in clockwise direction to a point.
Whole Circle Bearing (W.C.B) (Azimuth)
2) Reduced Bearing
Reduced bearing or Quadrant bearing is the angle which a line
makes from North or South Pole whichever may be near. The value of angle is from 0° to 90° , and are taken either clock wisely or anti clock wisely.
-Quadrant bearing
The difference between the whole circle bearing and quadrant
bearing are as follows.
-Example The following fore bearings were observed for lines, AB, BC, CD, and DE Determine their back bearings: • 145°, 285°, 65°, 215°
Example The Fore Bearing of the following lines are given Find the
Back Bearing.
(a) FB of AB= 310° 30’
(b) FB of BC= 145° 15’
(c) FB of CD = 210° 30’
(d) FB of DE = 60° 45’
Example:
Convert the following whole circle bearing to quadrant or
reduced bearings :
( i ) 42ᵒ 30’ ( ii ) 126ᵒ 15’
( iii ) 242ᵒ 45’ ( iv ) 328ᵒ10’
Example
Convert the following reduced bearings to whole circle
bearings:
( I ) N 65ᵒ 12’ E ( ii ) S 36ᵒ 48’ E
( iii ) S 38ᵒ 18’ W ( iv ) N 26ᵒ 32’ W
Closed Traverse
• Ends at a known point with known direction Geometrical Constraints
-Adjust the deflection angles
2-Interior angles Traverse
Interior angles are measured clockwise or counterclockwise between two adjacent lines on the inside of a closed polygon figure.
Example
The following traverse have five sides with five internal
angles. Find the angular misclosure and apply the angle
correction
-3-Exterior angle Traverse
Correction for observed angles (closed traverse)
Example:
IF ∑observed angles for traverse (ABCDA)= 360˚00′ 48″ find misclosure and correct the interior angles. Check Allowable Angle Misclosure
Prepared by:Asst. Prof. Salar K.Hussein
Erbil Polytechnic University
Report Assignment 2 for Site Surveying module which requires us to do Traversing measurement around the campus carpark, for the Bachelor of Quantity Surveying (BQS) Course Semester 2, Taylor's University Lakeside Campus
In the preparation for the Geodetic Engineering Licensure Examination, the BSGE students must memorized the fastest possible solution for the LEVELING ADJUSTMENT such as level circuit, level net, etc. using casio fx-991 es plus calculator technique in order to save time during the said examination. note: lec 2 and above wala akong nilagay na solution para hindi makupya techniques ko. just add me on fb para ituro ko sa inyo solution. Kasi itong solution ko wala sa google, youtube, calc tech books at hindi rin itinuro sa review center.
Plane and Applied Surveying 2
Traversing Theory Part
Traverse Computations
Definition
Types of Meridian
Applications of traversing
Bearings
Correction for observed angles (closed traverse)
Check angular Misclosure
Adjust angular Misclosure
Calculate adjusted bearings
Compute (E, N) for each traverse line
Coordinates.
-Traversing
Methods of conducting Traverse
1. Theodolite
2. Total Station
2. Compass
3. GPS
Bearings
Bearings
Bearing is the angle which a certain line make with a
certain meridian. Bearing with respect to true meridian is
called true bearings while magnetic bearing is the angle
which a line makes with respect to magnetic meridian.
There are two ways to represent the bearings,
Fore and back bearings
Whole circle bearing (W.C.B) ,(Azimuth)
Reduced Bearing (R.B) or quadrant bearing
6 The bearing of a line measured in the forward direction of survey line is called the ‘Fore Bearing’ (FB) of that line.
The bearing of the line measured in the direction opposite to the direction
of the progress of survey is called the ‘Back Bearing’ (BB) of the line.
BB= FB ± 180°
+ sign is applied when FB is < 180°
- sign is applied when FB is > 180°
1) Whole Circle Bearing (W.C.B) (Azimuth)
Is the bearing always measured from north in clockwise direction to a point.
Whole Circle Bearing (W.C.B) (Azimuth)
2) Reduced Bearing
Reduced bearing or Quadrant bearing is the angle which a line
makes from North or South Pole whichever may be near. The value of angle is from 0° to 90° , and are taken either clock wisely or anti clock wisely.
-Quadrant bearing
The difference between the whole circle bearing and quadrant
bearing are as follows.
-Example The following fore bearings were observed for lines, AB, BC, CD, and DE Determine their back bearings: • 145°, 285°, 65°, 215°
Example The Fore Bearing of the following lines are given Find the
Back Bearing.
(a) FB of AB= 310° 30’
(b) FB of BC= 145° 15’
(c) FB of CD = 210° 30’
(d) FB of DE = 60° 45’
Example:
Convert the following whole circle bearing to quadrant or
reduced bearings :
( i ) 42ᵒ 30’ ( ii ) 126ᵒ 15’
( iii ) 242ᵒ 45’ ( iv ) 328ᵒ10’
Example
Convert the following reduced bearings to whole circle
bearings:
( I ) N 65ᵒ 12’ E ( ii ) S 36ᵒ 48’ E
( iii ) S 38ᵒ 18’ W ( iv ) N 26ᵒ 32’ W
Closed Traverse
• Ends at a known point with known direction Geometrical Constraints
-Adjust the deflection angles
2-Interior angles Traverse
Interior angles are measured clockwise or counterclockwise between two adjacent lines on the inside of a closed polygon figure.
Example
The following traverse have five sides with five internal
angles. Find the angular misclosure and apply the angle
correction
-3-Exterior angle Traverse
Correction for observed angles (closed traverse)
Example:
IF ∑observed angles for traverse (ABCDA)= 360˚00′ 48″ find misclosure and correct the interior angles. Check Allowable Angle Misclosure
Prepared by:Asst. Prof. Salar K.Hussein
Erbil Polytechnic University
Report Assignment 2 for Site Surveying module which requires us to do Traversing measurement around the campus carpark, for the Bachelor of Quantity Surveying (BQS) Course Semester 2, Taylor's University Lakeside Campus
In the preparation for the Geodetic Engineering Licensure Examination, the BSGE students must memorized the fastest possible solution for the LEVELING ADJUSTMENT such as level circuit, level net, etc. using casio fx-991 es plus calculator technique in order to save time during the said examination. note: lec 2 and above wala akong nilagay na solution para hindi makupya techniques ko. just add me on fb para ituro ko sa inyo solution. Kasi itong solution ko wala sa google, youtube, calc tech books at hindi rin itinuro sa review center.
Report Assignment 1 for Site Surveying module which requires us to do levelling measurement around the campus carpark, for the Bachelor of Quantity Surveying (BQS) Course Semester 2, Taylor's University Lakeside Campus
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1. 1
SCHOOL OF ARCHITECHTURE, BUILDING AND DESIGN
BACHELOR OF QUANTITY SURVEYING
FIELDWORK 2
TRAVERSING
NAME STUDENT ID
STEVEN CHAN KAI TIONG 0319850
TAY SY MIN 0320813
VOON SZE LUN 0315032
WONG GENG SEN 0321690
3. 3
Introduction
Traverse survey
- Traversing is one kind of method that used in the field of surveying to establish control
networks. A traverse is a series of straight lines that are used to connect a series of selected
points. These selected points are called traverse stations where distance and angle
measurements are made. The relative positions of the traverse stations are then computed
using some coordinate systems.
2 types of traverse survey: closed traverse and open traverse.
1. Closed traverse: this traverse starts at a point and ends at the same point. Areas that are
suitable for locating are lakes, woods, and for survey of large areas.
2. Open traverse: this traverse originates at a starting station, then proceeds to its
destination, and then ends at a station whose relative position is not previously known. This
traverse is suitable for surveying a long narrow strip of land.
The least desirable type of traverse is the open traverse because this traverse provides no
check on fieldwork or starting data. Because of this, the planning of a traverse always
provides for closure of the traverse. So, the traverses are closed in all cases where time
permits. Those surveyors adjust the measurements by computations to minimize the effect
of accidental errors made in the measurements and the large errors are corrected.
Source from:http://www.floridageomatics.com/publications/gfl/chapter-three.htm
4. 4
Outline Apparatus
Theodolite
- is an instrument that used to measure angles and directions. It's
mounted on an adjustable tripod and has a spirit level to show
when it is horizontal.
Tripod
- is a device used to support any one of a number of surveying
instruments, such as theodolites, total stations, levels or transits.
Horizontal bubble level
- is an instrument used to indicate the horizontal level. It is a
slightly curved glass tube which is incompletely filled with alcohol.
5. 5
Plumb bob
- is a weight which is suspended from a string and used as a
vertical reference line. Set the instrument exactly over a fixed
survey marker, or to transcribe positions onto the ground for
placing a marker.
Theodolite pole
- used as a stand to indicate the angle
betweentwoormore pointsinan enclosedarea.
6. 6
Theodolite
All theodolites have the same common features which can be described as follows:
1. Targeting sight
2. Objective lens
3. Horizontal clamp knob
4. Horizontal tangent screw
5. Display window
6. Operating keys
7. Levelling screws
8. Tripod base plate
9. Optical plummet
10. Instrument centre mark
7. 7
Objectives
1. To allow student to have a better understanding on the process of using theodolite rather
than listening to the lecture in class.
2. To allow student to gain experience on how to use theodolite, for example: setting up,
collaborating, calculating and recording data.
3. To enable student to know the methods of measuring the angles and lines.
4. To enable student to know the precautions that should be taken while using the
Theodolite.
5. To allow student to have the experience of doing fieldwork under actual working
environment in site such as working under the hot weather.
6. To allow student to understand the importance of teamwork while carrying out the
fieldwork.
7. To determine how to analyse the data collected from the fieldwork.
8. To allow student to understand how to distribute different types of error from the data
collected on field.
9. To enable student to learn how to read the positions on ranging rods.
10. To enhance the knowledge on how to set up the points for the fieldwork.
11. To allow student to have the ability to finish the site measurements and calculations
8. 8
Field Data
Station Field Angles
A 89°07’ 20”
B 92° 24’ 40”
C 88° 45’ 00”
D 89° 55’ 20”
Sum 360° 12’ 20”
A
89°07’ 20” B
92° 24’ 40”
D
89° 55’ 20”
28.35 m
62.24 m
29.51 m
61.60 m
C
88° 45’ 00’’
9. 9
AUNGULAR ERROR AND ANGULAR ADJUSTMENTS
(4-2)(180°) = 2(180°) = 360° , the sum of interior angles of the traverse must be 360°.
Hence, total angle errors = (360° 00’ 00’) - (360° 12’ 20’’) = -0° 12’ 20’’
Therefore, error per angle = (-0° 12’ 20’’)/4 = -0° 3’ 5’’
Station Field Angles Correction Adjusted Angles
A 89°07’ 20” -0° 3’ 5” 89° 4’ 15”
B 92° 24’ 40” -0° 3’ 5” 92° 21’ 35”
C 88° 45’ 00” -0° 3’ 5” 88° 41’ 55”
D 89° 55’ 20” -0° 3’ 5” 89° 52’ 15”
Sum 360° 12’ 20” 360° 00’ 00”
Computation for course azimuths
Station Adjusted Angles Course Azimuths
A-B 89° 4’ 15” 89° 4’ 15”
B-C 92° 21’ 35” 89° 4’ 15” + 92° 21’ 35” - 180° = 1° 25’ 50’’
C-D 88° 41’ 55” 1° 25’ 50” + 88° 41’ 55” + 180° = 270° 7’ 45’’
D-A 89° 52’ 15” 270° 7’ 45” + 89° 52’ 15” - 180° = 180° 0’ 0’’
10. 10
Computationsfor Latitude and Departure
Length Cos β Sin β L cos β L sin β
Station Azimuth, β L(m) Cosine Sine Latitude Departure
A
89° 4’ 15” 61.60 +0.0162 +0.9999 +0.9989 +61.5919
B
1° 25’ 50” 28.35 0.9997 +0.0250 +28.3412 +0.7078
C
270° 7’ 45” 62.24 +0.0023 -1.0000 +0.1403 -62.2398
D
180° 0’ 0” 29.51 -1.0000 0.0000 -29.5100 0.0000
A
Perimeter(P) = 181.70 m Sum of latitudes = ∑∆y = -0.0296 m
Sum of departures = ∑∆x = 0.0599m
Error in departure ∑∆x = 0.0599 m
Error inlatitude
∑∆y = -0.0296 m
Accuracy = 1: (P/Ec)
Therefore,the accuracy= 1: (181.70/0.0668)
= 1: 2720.05988
= 1: 2700
For average landsurveying anaccuracy of about 1: 3000 is typical.
Hence,the accuracy of fieldisacceptable.
Total Error = 0.0668m
11. 11
AdjustedCourse Latitudes and Departures
Computationof Station Coordinates
Assume thatthe coordinatesof A is (100.000, 100.000)
Station
Adjusted
Latitude
Adjusted
Departure
N Coordinate
Latitude
E Coordinates
Departure
A 100.000 100.000
+1.0090 +61.5716
B 101.0090 161.5716
+28.3458 +0.6985
C 129.3548 162.2701
+0.1504 -62.2603
D 129.5052 100.0098
-29.5052 -0.0098
A 100.00 100.000
Unadjusted Corrections Adjusted
Station Latitude Departure Latitude Departure Latitude Departure
A
+0.9989 +61.5919 0.0101 -0.0203 +1.0090 +61.5716
B
+28.3412 +0.7078 0.0046 -0.0093 +28.3458 +0.6985
C
+0.1403 -62.2398 0.0101 -0.0205 +0.1504 -62.2603
D
-29.5100 0.0000 0.0048 -0.0098 -29.5052 -0.0098
A
Sum -0.0296 0.0599 0.0296 -0.0599 0.0000 0.0000
Correction in Latitude of AB =
𝑇𝑜𝑡𝑎𝑙 𝐿𝑎𝑡𝑖𝑡𝑢𝑑𝑒 𝑀𝑖𝑠𝑐𝑙𝑜𝑠𝑢𝑟𝑒
𝑇𝑟𝑎𝑣𝑒𝑟𝑠𝑒 𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟
× 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝐴𝐵
Correction in Departure of AB =
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑝𝑎𝑟𝑡𝑢𝑟𝑒 𝑀𝑖𝑠𝑐𝑙 𝑜 𝑠𝑢𝑟𝑒
𝑇𝑟𝑎𝑣𝑒𝑟𝑠𝑒 𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟
× 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝐴𝐵
12. 12
Summary
In this fieldwork, a theodolite is being used. There were only four theodolite in the
campus hence we shared the theodolite with another group and used the pacing method to
obtain our length of each course but we failed to get an accuracy of at least 1:3000. After
that, we used the tape-measure the length of each course. In order to get the most accurate
reading possible, our lecturer, Mr. Chai taught us to use the theodolite to guide our tape-
measure to make it is in as straight line.
Our error in departure is 0.0599 and our error in latitude is -0.0274. The total error is
0.0659. Using the following formula, we calculated the accuracy of our traverse survey:
Accuracy = 1: Perimeter/ Error Closure
We obtained an accuracy of 1:2700. For average land surveying an accuracy of 1:3000
is typical. Therefore, our traverse survey is acceptable.
The result of this fieldwork is interesting and satisfying. Thank to our lecturer, Mr. Chai
who taught us how to do the fieldwork and helped us to gain some knowledge on how to
use a theodolite so we can do the fieldwork smoothly and successfully.