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: [email protected] 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!!!!!!!!!