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Set 317: Engineering Surveying I Question Paper

Set 317: Engineering Surveying I

Course:Bachelor Of Science In Water And Environmental Engineering

Institution: Kenyatta University question papers

Exam Year:2011

DATE: WEDNESDAY 2ND FEBRUARY 2011
TIME: 4.30P.M – 6.30 P.M
INSTRUCTIONS:
1. This paper consists of FIVE Questions.
2. Answer any THREE Questions.
3. Show all your workings in the answer book provided.

QUESTION 1
1.
(a)
Briefly explain the following types of errors associated with observation of

surveying instruments giving examples
(i)
Gross errors
(ii)
Systematic errors
(iii)
Accidental errors (6 marks)

(b)
Derive an expression for the correction per chain length to be applied when
chaining on a regular slope in terms of:

(i)
the slope angle ?

(ii)
the difference in level d between the ends of the slope (4 marks)
(c)
A steel tape of nominal length 30m was used to transfer a level from a reference
line near its top. A 100N weight was attached to its free end and the tape was
hung freely down the side of the column such that its100mm mark was against the
bottom reference line. A reading of 14.974m was obtained at the top of the
reference line.The tape was standardized on the flat as 30.009m at a tension of
50N and a temperature of 20oC. It had a cross-sectional area of 1.8mm2; the
coefficient of thermal expansion of tape material was 1.9mm2 per oC and Young
modulus was 210kN mm-2. During measurement, the mean temperature was 13oC.
Calculate the vertical distance between he two reference lines. (10 marks)
Page 1 of 5

QUESTION 2:
(a)
In quadrilateral ABCD the coordinates of the points are as follows:
Point E(m) N(m)
A 1000.0 1000.0
B 1000.0 106.2
C 1634.8 271.2
D 2068.4 1699.3
(i)
Find the area of the figure
(ii)
If E is the mid point of AB, find graphically or by calculation the coordinates of F
on the line CD such that the area AEFD = EBCF

(12 Marks)

(b) A series of off-sets was taken from a baseline to a curved boundary line at intervals of

10m in the following order 0, 2.68, 3.64, 3.70, 4.60, 3.62, 4.84 and 5.74
Compute the area between the baseline and the curved boundary line and end off-sets
using:
(i)
Trapezoidal rule
(ii)
Simpson’s rule

(8 marks)

QUESTION 3
(a)
Define the following terms as used in leveling operations
(i)
Height of collimation
(ii)
Foresight
(iii)
Ordinance datum
(iv)
Foresight

(2 Marks)

Page 2 of 5

(b) The under noted staff readings were taken successively with a level along an underground
roadway.
Staff reading Distance from A (m) Remarks
1.769
0
BS to A
0.642
40
IS
0.091
80
FS
1.689

BS
0.440
120
FS
0.917
160
BS
0.680

IS
0.681
200
IS
0.454
240
FS
2.223

BS
1.682
280
IS
0.246
320
FS
1.550

BS
0.666
360
FS to B

Use rise and fall method to calculate the reduced level of each staff station relative to the level A
which is 1219.039m below OD. Check your results by application of the appropriate method
used for verifying leveling calculations derived from height of collimation.
(12 Marks)

(c) Discuss the following types of errors as associated with leveling operations
(i)
Field errors
(ii)
Instrument errors

(6 Marks)

Page 3 of 5
QUESTION 4
(a)
Determine the area in hectares enclosed by the line of a closed traverse survey ABCDE
from the following data,

Station
E(m)
N(m)
A
100.00
200.00
B
206.98
285.65
C
268.55
182.02
D
292.93
148.80
E
191.74
85.70

If the chain, normally 20m long, used in the survey was later found 0.1m too long, what
would be the corrected area.

(12 Marks)

(b)
Calculate the volume of water which could be contained within under water contours
from the following data given below using:
(i)
End area method
(ii)
By Simpson’s formula (8 Marks)
Contour (m AOD)
190
188
186
184
182
180
178
Area (m2)
3150 2460
1630 840
210
90
36

QUESTION 5
(a)
State any six uses of a theodolite in construction and surveying operations
(3 Marks)
(b)
Explain the following terms as used in traverse survey
(i)
Angular Misclosure
(ii)
Eastings and Northings
(iii)
Whole Circle Bearing (WCB)
(iv)
True North and Magnetic North

(4 Marks)

(c)
Observations using a theodolite were taken in the field and angles forming a closed
traverse survey around the perimeter of the field were recorded as shown in the table
below
Page 4 of 5

Traverse station Observed Clockwise

horizontal

A
132o15'30?

B
126o 12'54?

C
69o 41'18?

D
31o 50'30?
(i)
Determine the amount of angular error in the survey and adjust values of the
angles
(ii)
If the WCB of the line AB is assumed to be 0o calculate the WCB of the traverse
lines.

(13 Marks)

Page 5 of 5

Set 317: Engineering Surveying I Question Paper

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