KIGALI INSTITUTE OF SCIENCE AND TECHNOLOGY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING & ENVIRONMENTAL TECHNOLOGY
END OF SEMESTER II EXAMINATIONS
ACADEMIC YEAR: 2012-2013
YEAR OF STUDY: 1
SEMESTER:
SUBJECT CODE & NAME:
NO. OF STUDENTS:
EXAMINATION PERIOD: MAY 2013
II
Programme: Full Time
√
Part Time
CEE 3122 ENGINEERING MECHNICS : STATIC AND DYNAMIC
130
DURATION: 2hrs
MAX. MARKS: 60
DATE OF SUBMISSION:
NAME OF INTERNAL EXAMINER:
TEL:
TUMWIZERE REMY PATRICK
E-MAIL: rp.tumwizere@kist.ac.rw
0788551425
SIGNATURE:
Submitted
(i) Syllabus
√
(ii) Main Exam Qns.
√
(iv) Supp exam Qns. √
Head of Department:
(iii) Markingscheme
√
(v) Markingscheme
√
Date:
KIGALI INSTITUTE OF SCIENCE AND TECHNOLOGY
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING AND ENVIRONMENTAL TECHNOLOGY
INTERNAL MODERATOR’S REPORT
DETAILS OF MODERATOR
Name of the Moderator:……… ……………………………………………………………………………………
Designation:………………………… ………………………………………………………………………………………….
Area of Specialisation:…………
DETAILS OF MODERATING SUBJECT
Module Code and Title:
Year of Study I
: SemII
Academic Year: 2012-2013
DETAILS OF MODERATION
Sl.No
DESCRIPTION OF ASSESSMENT
1.
Coverage of Syllabus
2.
Standard and Level of Question Paper
3.
Allocation /Distribution of Marks
4.
Allocation of Time
5.
Qualitative Treatment (Theory)
6.
Quantitative Treatment (Problem)
7.
Correlation between Qualitative and
Quantitative
COMMENTS,if any
Have comments been incorporated in the question paper or marking scheme by the staff? Yes
Signature of Moderator:
Date:
No
MAIN EXAM
KIGALI INSTITUTE OF SCIENCE AND TECHNOLOGY
Avenue de l'Armée,
B.P. 3900 Kigali,
Rwanda
INSTITUTE EXAMINATIONS-SEM:II
ACADEMIC YEAR 2012-2013
FACULTY OF ENGINEERING
DEPARTMENT: CIVIL ENGINEERING & ENVIRONMENTAL TECHNOLOGY
YEAR: 1
SEMESTER: II
GROUP: CE&WEE
MODULE:CEE 3122 ENGINEERING MECHANICS: STATIC AND DYNAMIC
DATE:
25/ 04 /2013
TIME:
2hours
MAXIMUM MARKS = 60
INSTRUCTIONS
1. This paper contains FOUR (4) questions.
2. Answer THREE (3) Questions only:
Question ONE (1) from Section “A” is Compulsory and Answer any TWO (2) from
Section “B”
3. All questions carry equal marks.
4. No written materials allowed.
5. Do not forget to write your Registration Number.
6. Write all your answers in the booklet provided
7. Do not write any answers on this questions paper.
8. Start each question in a NEW page
SECTION A
QUESTION ONE
1.
2.
3.
4.
5.
6.
7.
8.
9.
Define the following terms
(3Marks)
a) Vector quantity
b) A particle
c) Coplanar collinear forces
d) CoplanarConcurrent forces
e) Centre of gravity
f) Centroid
State the following law of forces (3Marks)
a) Law of parallelogram of forces
b) Law of triangle of forces
Explain the effect of force and moment on a body
(1Mark)
Briefly discuss the principle of equilibrium (2 Marks)
What is the difference between perfect frame and imperfect frame(2Marks)
What is radius of gyration? Explainthe parallel axistheorem(4Marks )
Explainhow to find moment of inertia of a rectangular section about x-x axis passing through the centre of
gravity of the section
(2 Marks)
Differentiate between velocity and acceleration
(1Mark)
With help of a sketch, Derive the expression for conservation of energy (2Marks)
SECTION B
QUESTION TWO
1. With help of sketch explainthe different types of loading (3 Marks)
2. Explain on the different types of supports(4 Marks)
3. Asimply supported beam AB of 1.7 m long is loaded as shown in figure 1. Determine the
reactions at A and B (3marks)
Figure 1
4. A beam AB 6 m long is loaded as shown in figure 2; determine the reactions A and B by
analytical method(4 Marks)
Figure 2
5. What do you understand by moment of a force about a point? (1 Mark)
6. Four forces of magnitude 10N, 20N, 30N and 40N are acting respectively along the four sides of
a square ABCD as shown. Determine resultant moment aboutA. Each side of square is 2m.
(5Marks)
20N
A
B
30N
10N
D
C
40N
QUESTION THREE
1. A plane truss is loaded and supported as shown in figure 3. Determine the nature and magnitude
of the forces in member 1,2,3
(8 marks)
Figure 3
2. Three marks A,B and C, at a distance of 100 m each are along a straight road as shown in Figure
4. A car starting from rest and with uniform acceleration passes the mark A and takes 10 seconds
to reach B and further 8 seconds to reach the mark C. Calculatei) the magnitude of the
acceleration of the car, ii) the velocity of the car at A, iii) the velocity of car at B and iv) the
distance of the mark A from the starting point.
(8 Marks)
Figure 4
3.
State the principle of moments or Varigno’s theorem.
(4 Marks)
QUESTION FOUR
4.1. A body weighing 196.2 N slides up 300 inclined plane under the action of an applied force 300 N
acting parallel to the inclined plane. The coefficient of friction is equal to 0.2. The body moves from rest,
Determine:(14 Marks)
1.
2.
3.
4.
5.
6.
7.
Acceleration of body
Distance travelled by body in four seconds
Velocity of body after four seconds
Kinetic energy of the body after four seconds
Work done on the body in four seconds
Momentum of the body after four seconds
Impulse applied in four seconds
Inclusion of a diagram of the body (not a free body diagram) is necessary
4.2. The resultant of four forces which are acting at a point O as shown in figure 5, is along y axis . The
magnitude of forces F1, F3 and F4 are 10 KN, 20KN and 40 KN respectively. The angle made by 10KN,
20KN and 40 KN with X -axis are 300,900 and 1200 respectively. Find the magnitude and direction of
force F2 if resultant is 72 KN.
(6 Marks)
Figure 5
Good luck!!!!!!!!!