Diploma in Architectural Studies
Cohort: DArcS/10B/PT
Resit Examinations for 2013 - 2014 /
Semester 1
MODULE: PRINCIPLES OF ENGINEERING SURVEYING
MODULE CODE: ARCS2106
Duration: 2 Hours 45 Mins
Instructions to Candidates:
1. Answer any four questions.
2. Questions may be answered in any order but your answers must show
the question number clearly.
3. Always start a new question on a fresh page.
4. All questions carry equal marks.
5. Total marks 100.
This question paper contains 5 questions and 4 pages.
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Principles of Engineering Surveying (ARCS2106)
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ANSWER ANY FOUR QUESTIONS
QUESTION 1: (25 MARKS)
(a) Briefly explain two errors when measuring distances in chain surveying and
how they can be eliminated.
(10 marks)
(b) A steel tape, of nominal length 30m, was used to measure a survey line on
the flat. The length recorded in the field book was 118.10m. On verification, the
tape was found to be 29.95 metres long.
(i) What was the correct length of the line?
(5 marks)
(ii) If the line lay on a slope of 1 in 10, what would be the horizontal length of
the line?
(5 marks)
(iii) What reading is required to set out a horizontal distance of 15.10m
between to pegs on site, one peg being 0.75m above the other?(5 marks)
QUESTION 2: (25 MARKS)
(a)
Define a contour and describe briefly the properties of contour lines.
(7 marks)
(b)
The following staff readings were observed successively with a level in an
ordinary levelling exercise in good weather conditions. The instrument was
moved forward after the underlined readings.
1.134, 2.502, 1.497, 2.540, 2.219, 0.271, 1.301, 0.695, 1.190, 1.130, 2.813
The first reading was taken with a staff held upon bench mark A of reduced level
106.010m and the last reading on another bench mark B of reduced level
100.770m.
(i) Enter the readings in a level book using the Rise and Fall method and
reduce the levels.
(12 marks)
(ii) Apply all arithmetical checks.
(3 marks)
(iii) Quote the closing error and comment on the closing error if the distance
between the two bench marks is 240m.
(3 marks)
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QUESTION 3: (25 MARKS)
The adjusted whole circle bearings and lengths in a closed loop traverse are as
follows:-.
Line
Adjusted Whole Circle
Bearings
187º 22’ 20”
185º 41’ 17”
124º 02’ 59”
038º 45’ 21”
016º 52’ 48”
285º 56’ 38”
273º 12’ 23”
AB
BC
CD
DE
EF
FG
GA
Length (m)
103.40
157.25
143.36
169.08
176.74
110.60
140.83
The coordinates of station A are 1000.00mE, 2000.00mN.
(a) Compute the traverse table and determine the coordinates of the other
traverse stations using the Bowditch’s method .
(21 marks)
(b) What is the linear misclosure in the traverse?.
(2 marks)
(c) Calculate the fractional error.
(2 marks)
QUESTION 4: (25 MARKS)
(a) State the trapezoidal rule and the Simpson’s rule for determining areas.
(4 marks)
(b)
A survey of a site ABC, shown in the sketch in Figure 1, was carried out
by chain survey. The site is bounded by two straight lines AB and BC and by the
sinuosity of a stream along the third boundary AC. The following field
measurements were recorded:
Line
Length (m)
AB
471.00
BC
551.00
CA
770.00
Chainage 0.00 110.00 220.00 330.00 440.00 550.00 660.00
from
A
along line
AC (m)
Offset (m) 0.00 12.50
15.00
10.70
19.60
8.70
5.00
770.00
0.00
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Principles of Engineering Surveying (ARCS2106)
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Figure 1
(i) Determine the area of site ABC by calculating the area of the triangle ABC
and the area contained within the edge of the stream and the straight line
AC using both the trapezoidal rule and the Simpson’s rule. (18 marks)
(ii) Compare the areas of site ABC from part (i) and comment thereon.
(3 marks)
QUESTION 5: (25 MARKS)
(a)
(b)
Briefly explain what are mistakes, systematic errors and random errors in
surveying.
(9 marks)
What is the difference between precision and accuracy?
(4 marks)
(c) The following observations were made with a theodolite from station P to
stations Q and R:
75º 10’ 15”, 09”, 12”, 14”, 18”, 16”, 10”, 13”, 18” and 15”.
Determine:
(i) The most probable value of angle QPR;
(ii) The range;
(iii) The standard deviation; and
(iv) The standard error of the mean.
(3 marks)
(3 marks)
(3 marks)
(3 marks)
***END OF QUESTION PAPER***
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