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Sm amNDEJJE UNIVERSITY
FACULTY OF ENGINEERING
END OF SEMESTER ONE 2012/2013 EXAMINATION
DEPARTMENT OF MATHEMATICS
Course: BSC CE, EE, ME, CE. Year: Two
Course unit: Engineering Mathematics I ‘Time: 3hours
Attempt Only four Questions
DATE: Thursday, 26" November 2012 TIME: 2.00- 5.00pm
estioi
Having successfully completed a package in Fourier series during your stay at Ndejje University, use
the knowledge and expertise acquired to:
(@) Obtain the Fourier series expansion of the function,
oP fare 2x, Sina oea aA
f= CE O 0
ux, 0)=2, Ox0
Question Three
‘As the Engineer in the making apply the knowledge acquired in Engineering Mathematics
Mt to:
(@) Solve the systems of differential equations using the Laplace Transform methods
x’ = 6x —3y + 8e", x(0) =-1
y =2x+y+4e, y(0)=0
(b) Solve the differential equation by Laplace transform
2y" —3y' + y =te~**, y(0) = 1 y'(0) =3
(©) Find the convolution of
eZ
PO)=a5s
®) S28 43)
Question Four
Perfectly flexible clastic string is stretched between points
x = Oand x =1 withuniform tension T andthe string is
displaced slightly from its initial position of rest and released, with end points remaining
fixed. The string then vibrates with displacement
u(x, t) at any time t, where x is displacement from theleft and of the end.
The equation of the motion (wave equation) is given as,
H
Uxx = 77 Met
u(0,t)=u(Lt) =0,t > 0
u(x, 0) = f x) and u,(x,0) = g@)
Assuming the trival solution u(x,t) = X(x)T()
As an expert in partial differential equations 9. . @. § obtain the general solutions for
the constant A equal to:
@ zero
(i) negative say A=—a?
Question Five
Itis of importance that you have knowledge on power series. Use the expertise acquired to:
{@) Obtain the Radius of convergence of the power series 57g S @-1)"
(6) Locate the ordinary points, regular and irregular singular points of the differential
‘equations.
(xt — x? )y" + (2x + Dy’ +x?@+ Dy =0
(© Solve the differential equation y"” + X?-y = 0 of the power series about the
point x = 0
ENDAHAGARE (ORAELIOS
W/1/3 28 SMASH
Kets)
NDEJJE S¢f! UNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
CIV 2101: STRUCTURAL ANALYSIS I TEST
Instructions:
Answer all questions for full marks
Make necessary assumptions where information provided is insufficient
ATTACH the question paper to you answer booklet.
QUESTION ONE
a) Define the following terms
i, Structure (1mark)
ii, Structural system (Imark)
b) Name and explain the four types of structures (4 marks)
©) With relevant examples, explain the concepts of stability and determinacy as applied in
structural analysis. (6 marks)
4) Discuss the stability and determinacy of the following structures (2 marks @)
2 0)
um fo ™)
a) Structures are primarily designed to carry loads, name any three internal loads developed
in structural element due loads it is subjected to. (1.5 marks)
b) With reference to loads/actions in a classroom block, differentiate between live loads and
dead loads (1.5 marks)
©) A reinforced concrete beam on the Ndejje University Science block carries a uniform
Joad of 20KN/m and two point loads each of magnitude 80KN as shown in the figure
below.
Ndejje university Faculty of Engineering Structural analysis | Assessment Test Page 180kN 80kN
| 20kN/m
+ 2.0m —-}-— 2.0m —~|-— 2.0m —~|
i. Calculate the reactions at the supports (3 marks)
ii, _ Find the shear and moment functions. Hence draw the shear force and bending moment
diagrams indicating the critical values. (14 marks)
HREE
) With the aid of diagrammatic illustrations, explain the difference between External
instability and Internal instability in truss structures. (2 marks)
b) State any two assumptions considered in the design of truss structures (2 marks)
©) Use the method of joint equilibrium to find all the forces in each member of the truss in
the figure below, (13 marks)
25kN
4) Identify
The equal force members
ii. The zero force members GB marks)
ee
Ndejje university Faculty of Engineering Structural analysis I Assessment Test Page 2NDEJJE UNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
Base. (CIVIL ENG) SECOND YEAR SEMESTER. ATION 2012/13
CIV2101: STRUCTURAL ANALYSIS 1
DATE: FRIDAY 7™ December 2012 TIME: 9:00 am- 12:00 pm
Instructions
1. This paper consists of seven questions and four pages.
2. All questions carry equal marks,
3. Answer any EIVE QUESTIONS for full marks.
4. Start each question on a fresh page and make reasonable assumptions where
information given seems insufficient
n_ One (20 Marks)
ues
a) Differentiate between the following, giving examples of each (4 Marks)
i, Dead loads and live loads
Statically determinate and statically indeterminate structures
b) With clear illustrations, discuss the concepts of stability and determinacy in structural
analysis (8 Marks)
©) Discuss the stability and determinacy of the structures in Fig. 1 below (8 Marks)
©NdejjeUniversity Examinations Semester One 2012/13. Page 1Question Two (20 Marks)
a) Define an inflection point. (1Mark)
'b) Name the internal loads developed in a structural element due to loadings it is subjected
to. (2 Marks)
©) A simply supported beam in a building supports a uniformly distributed load and a point
load as indicated in the Fig 2 below
Fig2
+}-——4m——_+-— 4m —_+
i, Calculate the reactions at the supports (3 Marks)
Find the shear and bending moment functions (6 Marks)
ii, Sketch the shear and bending moment diagrams indicating the critical values (8 Marks)
Question Three (20 Marks}
a) State any two assumptions made in design of truss structures (2 Marks).
b) Use the method of joint equilibrium to find all the forces in each member of the truss in
Fig3 below (18 Marks) 25 yy ia aa
e D-
Fig3
am
4
ee eee
Four (20 Marks)
20 KN
A
Fig 4 5 C
Lam +. 6m ——__1
a) Sketch the elastic curve for this Figure (Fig 4) (2 Marks)
'b) Determine the equation of the elastic curve using Macaulay's method (10 Marks)
c) Find the deflection and slope at B (8 Marks)
Given that E= 200GPa, 1=6(105) mm*
‘©NdejjeUniversity Examinations Semester One 2012/13 Page2Question Five (20 Marks)
a) What is an influence line? (1 Marks)
b) Name any two examples of structural cases where influence lines are commonly applied
(2 Marks)
‘) Refer to the simply supported beam in Figure 5 below to construct the influence line for
i Reaction at A and hence find the value of the reaction Raat
Shear force at C and hence find the value of the shear force Vz at C
10,.kN
(17 Marks)
Find the horizontal displacement of joint C of the truss in Figure 6 below using Castiglione’s
theorem. All the truss members have uniform cross-sectional area of 400 mm? and E= 200 GPa.
(20 Marks)
sen —S e
" |
I
ol
3.5m——1#
10K
Question Seven (20 Marks)
Analyze the frame in Figure 7 below completely, sketch the shear force, bending moment and
axial load diagrams. (20 Marks)
Fig7
————— ese
@NdejjeUniversity Examinations Semester One 2012/13 Page 3FORMULAE SHEET
End
Success!!
Merry Christmas and Happy New Year 2013!!
a
@NdejjeUniversity Examinations Semester One 2012/13 Page 4NDEJJE UNIVERSITY
FACULTY OF ENGINEERING
SECOND YEAR BACHELOR OF ENGINEERING
SEMESTER I EXAMINATIONS 2012/2013
CIV2103: CIVIL ENGINEERING MATERIALS 1
DATE: Thursday, 3°” December 2012 TIME: 9.00hrs — 12.00Noon
INSTRUCTIONS
This examination consists of five questions
Attempt all the five Questions
Alll questions carry equal marks
Begin each question on a Fresh Page
Do not write in the question paper
Question 1 [20 Marks}
a, A material is defined as a substance or thing from which something else can be made. Cloth,
‘cement, sugar, brick, aluminum, soil, and water are all examples of materials. In engineering,
materials are employed to design and build structures, clements, or products. Explain the
different categories of civil engineering materials. (20 Marks)
Question 2 [20 Marks}
a) What are the deleterious effects of cold weather concreting and elaborate the precautionary
measuring techniques for it? 6
Marks)
b) What are the major factors affecting the compressive strength of concrete, Explain briefly? (6
Marks)
©) What do you understand by setting and hardening of concrete? (4 Marks)
@) Write down a note on alkali silica reaction (ASR). (4 Marks)
Question 3 [20 Marks]
a. Write down various properties of fresh concrete and briefly explain factors affecting them? (6
Marks)b. Write a short note on followings?
1. Creep in concrete (2 Marks)
2. Plastic shrinkage in conerete (2 Marks)
3. Batching of Concrete (@ Marks)
c. Whats the difference between chemical admixture and mineral admixture? (2 Marks)
4. Write down a note on silica fume? (@ Marks)
¢. Howare plasticizers important in concrete? (@ Marks)
£. Explain the mechanism involved in plasticizing action? (@ Marks)
Question 4 [20 Marks]
8. Write a short note on bulking of sand? (@ Marks)
b. Whats fineness modulus 6f sand? (2 Marks)
. Calculate the fineness modulus of sand? Followings are the percentage of cumulative retain by
‘mass on the serious of sieves. (G Marks)
i Sieve No. Percentage of cumulative retain by mass
95mm GS in) 0
(No.4) a
(No.8) _ 17
(No. 16) 37
(0.20) 37
(0.50) 2
{(No.100) 98
4. Explain the factors considered in stone construction? (10 Marks)
¢. Listat least four applications of stones (@ Marks)
Question 5 [20 Marks}
) The major problems that arise in wood use may be attributed either to the effects of grain
distortions (cell orientation or alignment), to the effects of excess moisture, or to defects that
occur as a result of the drying process. Explain the specific defects taken into account in the
grading of lumber products. (14 Marks)
b) The first step in the steel manufacture begins at the blast furnace. Explain the process of steel
manufacture. (6 Marks)
END raNDEJJE UNIVERSITY
FACULTY OF TECHNOLOGY
DEPARTMENT OF CIVIL ENGINEERING
“a
CIVIL ENG. 44RD YEAR SEMESTER I TEST 1 2012/2013
CIV2103: ENGINEERING MATERIALS I
Date: Tuesday Ist November 2011
1, What are the deleterious effects of cold weather conereting and elaborate the
weer
precautionarymeasuring techniques for it? (6 Marks) — “a2
2. What are the major factors affecting the compressive strength of concrete, Explain briefly? (6
Masks) tee
3. What do'you understand by setting and hardening of concrete? (4 Marks)
4. Write down various properties of fresh concrete and briefly explain factor affecting them? (6
Mais) ee PO
5. Write a short hote on followings? (2 Marks each)
a. Creep in concrete
b. Plastic shrinkage in concrete
Batching of Concrete
‘What is the difference between chemical admixture and mineral admixture? (2 Marks)
Write down a note on silica fume? (2 Marks)
How plasticizers are important for concrete?(2 Marks)
Write down the mechanism involved in plasticizing action(2 Marks)
pese
Write a short note on bulking of sand2(3 Marks)
‘What is fineness modulus of sand? Marks)
¢. Calculate the fineness modulus of sand Marks)
Followings are the percentage of cumulative retain by mass on the serious of sieves.
oe
Sieve No. Percentage of cumulative retain by mass
9.5 mm (3/8 in) 0
(No.4) 2
(Nos) 17
(No. 16) 37
(No.20) 37.
82.
98
‘of concrete? (2 Marks)
b, Write down a note on alkali silica reaction (ASR). (4 Marks)NDEJJE UNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
B.SC. (CIVIL ENG.) SEMESTER I EXAMINATIONS 2012/2013
CIV2201 HYDRAULICS
Date: 04™ DECEMBER Time: 2:00-5:00PM.
Instructions
1. This examination comprises of two sections.
2, Section A has 20 questions of 2 marks each ic. 40 marks in total. Attempt all
questions.
3. Section B has 4 questions of 20 marks each. Attempt any 3 questions.
4. Where you find insufficient data is supplied, make reasonable assumptions and
state them.
5. There are some formulae on page 4 that you might find useful
SECTION A (@ Marks per question = 40marks)
1. What do you understand by the term “hydraulic grade line"?
2. Why are open channel flow problems much harder to solve than pipe flow problems?
3. State the law of conservation of energy as it is used in hydraulics
4, The maximum velocity in an open channel is expected to be at the free water surface
but occurs just below the surface. Explain why this happens.
5. Explain why a 2 - Re chart is not practically useful in estimating the roughness of
open channels
6. What do you understand by the term conveyance?
7. A compound channel is made of three sections. In section 1 the velocity is 1.5m/s
while cross-sectional area is 10m”. In section 2 the velocity is 1.8m/s while cross-
sectional area is 13m* and in section 3 the values are 1.4m/s and 9.5m?. Determine
the coefficient of energy
8. Sketch a curve of depth versus specific energy for a channel with a raised hump of
height Az.
9. In physical terms what are the two forces that are compared when we use the Froude
number
10, In a rectangular channel, the specific energy is 1.5m. If the flow velocity is Im/s
‘what is the regime of flow?
11, List any two “critical depth meters” that you know
Page 1 of 412. State Newton’s law of viscosity and explain all terms
13. Explaining all terms, write the equation for the energy loss in a hydraulic jump
14, Give 4 types of “local” head losses that can occur in a pipeline
15. A pipeline 400mm in diameter and 2000m Jong connects two reservoirs whose
difference in head is 6m. Ignoring local head losses, determine the discharge in the
pipe if the friction factor 2. is 0.006.
16. Give the energy and continuity equations for the total head and total discharge for
‘two pipes that are placed in parallel.
17. Explain what you understand by the term “cavitation” in pumps.
18. Briefly explain the practical application for pumps that have high specific speeds
19. Explain the difference between the mode of operation of a gravity dam and an arch
dam
20. What is the use of a spillway in a water engineering scheme?
SECTION B
Question 1
a) The cross-section of the flow in a river during a flood was as shown in the figure
below. Assuming manning’s roughness coefficients for the side channel and main
channel to be 0.04 and 0.03 respectively, determine the discharge and the energy
coefficient a. [10]
Bed slope = 0.005
‘Area of main channel (bank full) = 280 m?
Wetted perimeter of main channel = 54m
x
D> 5
7
50m 40m 50m
b) The asphalt-lined trapezoidal channel (n = 0,016) in the figure below carries 300
m’/s of water under uniform-flow conditions when the bed slope is 0.0015. What is
the normal depth yn? fay
v
50°
——4
Page 2 of 4Question 2
a) A trapezoidal channel having a bottom width of 10m and side slope of 1 vertical
in 3 horizontal is used to discharge 70m’/s of water. If the slope is 2% and
Manning’s n is 0.023, determine
i) The critical depth ol
ii) The normal depth [4]
iii) Hence classify the regime of flow PI
b) A hydraulic jump occurs downstream of a 15.5m wide sluice gate. The initial
depth is 1.22m and the velocity is 18.2m/s. Determine
i) The initial and the conjugate depth Froude number 15]
if) The energy dissipated in the hydraulic jump in kW 2
iii) Ilustrate the situation on a specific energy sketch BI
‘Question 3
a) Water flows in a rectangular channel whose bed slope suddenly changes from S
to Sa. If S; is mild and S, is steep, Sketch the overall surface profile and identify
the surface profiles in each section 2]
b) A lake discharges directly onto a stream of rectangular form. If the head of water
in the lake above the channel bed is 3m and the channel is 6.5m wide with
Manning’s n of 0.015. Find;
i) The discharge for a channel bed slope of 100m/km (take So>S.) [4]
ii) The discharge for a channel bed slope of Im/km (take S. VEt6
, ceh Be ty ote
sf ~30 IH we SPER Ra a ae
gs Eps ~3 Steg ts acotrest te ee coey
(b) Table 1 below, shows a field book in a leveling exercise" HC = RM Oe bik
bee ete, bet net oy
ans WF s
Bs is Fs Hoc [RL corr. | corr. RL__| Remark,
2.197 + A’ |B ‘OBM (49.872)
Cae 49.556 I CH 20
2.325 D ‘CH40
36 TE + cireo (CP)
FA
3
8)
ea
83}
|
Gos 51.073 cH80
17527 H = [1seea7 | 50,775 ‘CH 100 (CP)
sli (cs TBM (48.719)
6.962 [8.124
Ibo Af ES iC smlapss | NeGLFFE c= BhaTS Wo saute s
35 (I) Calculate the missing values ¢,="-2L wy = Hc-FS.
yt (ll) Apply the arithmetic checks and determine the misclosure and apply the
ee corrections. os ag go Ft MEN, we = OMFS
Spee © eee at ) me } “RS
JS ~ Question Four (25 marks) _ ies ue-Be Ts = Herre!
In a tacheometric operation, the following observations as indicated in the table were
made me eis KERR La pnranst
Instrument] Target” [Horizontal | Vertical Station readings
station station _| circle circle
areal
= U M C
A Cc 220° 30" 00"~ | - 2° 48" 3875 3:550 [3.225
B 319° 30" 00" _[ 8" 36" 3.360 [2.515 | 1.650
(i) Determine the horizontal distance BC N= pesstore
(ii) Find the RL of B if the RL of C is 1450. 650m amsl
(a) Question Five (25 marks)
(b) A steel tape of nominal length 30m was used to measure a line AB while laid on
the ground of uniform slope. The following measurements were recorded.
ke Ge
ly
Vbbe
Shee
The standardized length of the tape was known to be 29.988m at 20°c and SON tension
if the tape has a cross sectional area of 2mm’, Calculate the horizontal length AB,
clearly explaining the elements of the formulae used. Young's modulus of the tape
material is 200KN/mm* and the co efficient of thermal expansion is 0.0000112/°c aoe vis
Line | length of ine | slope angle mean | Mean temp | Tension application
AB [29.872m 3740" 5° 120N
zbt
Hey ifthe tape was used to determine 2 plot tourettes 127-34 hectares; what is te ———
corrected area of the plot after standardizisation? ¥ -
»
(a) Question Six (25 marks) 004
(b) What are the geometrical limitations of Resection as a method of fixing horizontal
control? Mention the other methods of fixing horizontal control.
the = Macs
Lerbr 876 ay wees tH hee<(¢) We would like to determine the coordinates of station X. After reconnaissance, we
discovered that station X lies inside the triangle PQR whose coordinates are shown
in the table below.
Station [N(m) E(m) :
P 7643.20 [4798.20
Q 6327.10, 2534.50
R 6215.60 —11513.70
We occupied X and made the following observations.
Angle PXQ = 128° 23’ 24”
Angle QXR = 097° 10' 11"
Using the given data, compute the coordinates of station X.
Question Seven (25 marks)
(@) Errors in surveying are classified either according to source or their influence on
observations. During EDM measurements, outline both methods of error
classification.
(b) Using a hypothetical example, differentiate between Accuracy and Precision as
applied to survey measurements,
(c) Outline the sources of errors in leveling and their remediesUNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
B.Sc. (CIV- ENG.) SECOND YEAR SEMESTER ONE EXAMINATION 2011/12
CE2102 Civil Engineering Surveyig I
DATE: 22 Nov 2011 TIME: 0900hrs - 1200hrs
Instructions:
Attempt any four questions ha
All questions carry equal marks oe:
Uso sketches and illustrations where necessary 3
hen,
oleh oe
Question Oue (25 marks) Heeheac tao
(@) __ Whyis it necessary to standardize a steel band before field survey measurements
are carried out with it? er oDdu-
(©) __Asurvey line was measured with a steel band believed to be 20m long and a
length of 264.62m resulted. On checking, the steel band was found to mesons 19.95m
long.
J tt) Chis wnat was tee cored lena et he be
. (ii) If the line lay ona slope of 1 in 20 what would be the reduced horizontal length
used in the plotting of the ‘survey?
(ii) ~~ What reading is required to produce a horizontal distance of 15.08m between
two site pegs 0.66m above each other?
(iv) If the tape was used in determining an area of plot found to be 127.34 ha, what
would be correct area of the plot?
\ Shaan nes mas
he table below shows angular observations taken with a WILD T-2 4"
Theodolite
stationed at 71Y81 to various stations as shown.
Station Bearing (™*) Vertical angle (“)
At TAY8t
780 (O10 25 35 (FL) |= [086 25 (FL)
M9025 38 (FR) 263 35 (FR)
Tia 3544 16 (FL) | ~ el ose 14 (FL)
315 44 10 (FR) 271_ 48 (FR)
A 278 19 "23 (FL) | -¢] 84 _ 35 (FL)
098 19 20 (FR) 275 22 (FR)
71Y80 was used as the reference object 010° 25 30" being the correct bearing of
71Y81 -71Y60. sores
()__ Explain how the vertical angle between 71Y81 and A was measured
i ge ee eeGi) Cateulate the internal and external angles 71Y80 —71¥81 ~ 7144 and 7AYad
= 7181 -A ara ae
(iv) _ Calculate the mean vertical angles. irs
1a) Differentiate with examples and illustrations between the types of obstruction in
chain/tape surveying
(i) Chainage free, vision obstructed
(i) Vision free, chainage obstructed
{o) in figure 1, P; Peis a chain line whose measurement has been obstructed by a pond
The pond Is deep and much longer than the chain/tape length being used
Re | ay
Fig. 1
Explain by means of sketches how to determine correctly the straight distance Pr Pz
yy
(6) Explain how to erect a perpendicular from a straight fine by linear method
Nr using; i
i) 3-4-5 Pythagoras method Taceil bot
iil) Equal arcs method.
ihe cae oe You) - Bl
€ ea
Question Four (25 marks) att
(a) Mention the errors in leveling and their remedies.
1
Be (0) Four points A, B, Cand D were pegged out on a fairly level ground in a straight line so
- oh eistance AB = BC = CD = 20m. Readings taken with a level at B gave values of
tg wr 275m and 1.51m on staves held vertically at stations A and C respectively. Readings
x fae ath the level at D and staves at A and C were 2.27m and 1.15m respectively.
(() Was the level out of adjustment? If so calculate the collimation error.
{i What would have been recorded on staves at A and C with the level at Dif the level
had po collimation error.
YQ Question Five 25 marks)
(a) Define the following as applied to leveling
Datum
Bench mark
‘Change point
Reduced level
Height of collimation
(b) A straight sever runs from C to D, and the levels were taken as shown in the tableBs is FS
(aaebad -(4,-0
eo ee
= [eseomh
= SSSR —
Remark
1.260 BM, 370. 460m amsi Ee
0.110 2435__|CP1 r e
1.410 Ground level at C
7.005 2385 __[ CP 2 fh
0.880 2.815 [CP3
2115 Ground level at D Hr
2.270 | BM, 363. 802m amsl
Calculate the level book using the height of collimation method by applying all the
necessary arithmetic checks.
Given that the distance CD is 210m, determine the mean gradient of the sewer.
$3 question $i 25 marks)
(a) Derive equations for determining the horizontal distance and reduced level of
appoint using stadia tachometry with an inclined line of sight to the vertical staff.
(b) A tachometer with a stadia constant K = 100 and additive constant C = 0 was set
up at P and the following observation taken to a vertical Staff held at A and B.
yore
Station Bearing Vertical angle | Stadia readings
observed
A N30"50e [06a 2824, 3.220, 3.616
5 S60'45e | -07 10 2.067, 2.467, 2.877
‘The reduced level of station P is 650.65 m and the height of the instrument is 1.425m.
Calculate the horizontal distance AB and the gradient of the line AB.
Sbo'HSE\ ,
'o
oe ee |
ee ih Paset| abe [ge het
ou
\nn | ORL FS
ly
\
“O53
‘hha = Bip
FF84
thet Ven“aie
NDEJJE fast UNIVERSITY
FACULTY OF ENGINEERING
'T OF CIVIL ENGINEERING
DEPARTME!
{CAVE ENGINEERING) 8}
DATE: 18" Cotober 20 ‘TIME: 11-12:00Noon
INSTRUCTIONS:
Tj_Answer ALL questions for full marks
QUESTION ONE:
(a) A line AB between the stations A and B was measured as 348,25
rea 20m rape, too
short by 0.05 m, Determine the
i, Comect length of 4B [Smarks}
ii, The reduced horizontal fengih of AB if 4B lay on a slope of | in 25 [Smavks}
4 horizontal distance of 22°86 m berween
Hi, And the reading required to produc
two pegs. one being 0.56 m above the other. [Smurks]
ch of distance 348.28m was measured using « 20m tape,
(b) Explain hen
[Smiurtis|
QUESTION TWO:
The following consecutive readings were taken with a level on continuously sioning ground at «
{ast station has an elevation ef 158,272 m. Rule our a pa
common incerval of 20m, The
Cateulate
and enter the resting
1. The reduced levels of the points by rise and fall method
ii, The ining the first and last points. [Smarks}
Staff vendings
0.420, 1.115, 2.26 1505, 4.445, 0,605, 1.925, 2.885.
2,900, 3.615, 0.535, 1.470, 2.815,NDEJJE UNIVERSITY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
B.Sc. (CIVIL ENGINEERING) SECOND YEAR SEMESTER ONE 2012/13,
C1V2102: ENGINEERNG SURVEYING I TEST 11
DATE: 08" November 2012 ‘TIME: 11-12:00Noon
‘Answer ALL questions for full marks
Question one
(a) Explain the meaning of the terms random error and systematic error, and show by
example how each can occur in normal surveying work. [Smarks}
(b) A tape of standerd length 20 m at 85°F was used to measure a base line. The measured
distance was 882.50 m. The following being the slopes for the various segments of the
line:
‘Segment(m) | slope
100 220°
150 412
1°06"
hag]
| 3°00" |
x1
Colcutate the true length of the line if the mean temperature during measurement was 63°F and
the coefficient of thermal expansion of the tape material is 6.5 * 10-6 per. °F [15marks}
Question Two .
(a) Explain the circumstances under which Engineers may use contours. [Smarks} {
(b) The following readings were observed with a level: 1.143 (BM 112.28), 1.765, 2.566,
3.820 CP; 1.390, 2.262, 0.664, 0.433 CP; 3.722, 2.886, 1.618, 0.616 TBM.
i, Reduce the levels by the R-and-F method. [9marks}
Calculate the l2vel of the TBM if the line of collimation was tilted upwards at an
angle 66" andl each BS length was 100 n and FS length 30 in [6marks