EN09 105 ENG.MECHANICS_STATICS_SHORTQUESTIONS

Short Questions [Statics]

1. State: law of transmissibility of force.
2. State: Lami’s theorem.
3. State: Parallelogram law of forces.
4. What are the characteristics of a force.
5. Explain the different types of forces system with neat sketch.
6. Distinguish between ‘Composition’ and ‘Resolution’ of forces
7. What is couple and moment of couple.
8. Define coplanar concurrent force system.
9. List the procedure for drawing a Free Body Diagram.
10. State the conditions for the equilibrium of rigid bodies.
11. State and prove Varignon’s theorem.
12. Derive the equations of equilibrium for a system of non-concurrent forces in a plane.
13. Explain how a force can be translated to a given point without affect`g its action on the body.
14. Three forces F1,F2 and F3 are proportional to and act along the three sides AC,CB and BA of a triangle ABC.Prove that they reduce to a couple whose moment is proportional to the area of the triangle ABC.
15. What is meant by “Static indeterminancy” ? Explain how it is determined for a structure.
16. Enumerate the condition of the line of action of three forces in equilibrium.
17. What is plane truss? What are the assumptions made in the analysis of plane trusses.?
18. Write briefly about’method of joints’ and ‘method of sections’.
19. When do you prefer method of section of method joints?
20. Explain the method of constructing Maxwell’s diagram.
21. Explain the difference between uniformly distributed load and uniformly varying load.
22. State the parallel axis theorem.
23. State and derive the relation for theorem of Pappus & Guldinus.
24. Define centroid of a section.
25. Derive an expression for the principal moments of Inertia.
26. What are polar moment of inertia and product of inertia.
27. State any four geometrical properties of sections.
28. State the perpendicular axis theorem.
29. Calculate the moment of inertia Ix of a homogeneous right circular cone with respect to an axis ‘X’ through the vertex and perpendicular to the plane of the base.
30. Find the first moment area of a semicircle of radius R about its base.
31. Distinguish between Static friction and Dynamic Friction.
32. State the laws of friction.
33. Define angle of repose.
34. Write short notes on angle of friction.
35. What are the advantages and disadvantages of frictional force..
36. State Coulomb’s laws of static friction.
37. Define rolling resistance.
38. What are the principal axes and principle moments of inertia?
39. State the direction of support reactions in the case of (a)simply supported and (b) hinged end and (c)Roller supported end.
40. What is meant by efficiency of screw jack? Derive expression for maximum efficiency.

TUTORIAL PROBLEM SHEET
DOI: 08.09.2010 DOS: 13.09.2010

PROBLEMS ON SIMPLY SUPPORTED BEAMS
1. A 4m long beam is simply supported at the ends. It carries concentrated loads of 15N and 20 KN at distances 1m and 2m from the left support of the beam respectively. There is uniformly distributed load of 10KN/m over a length of 2m from the right end of the beam. The weight of the beam is 8KN.Determine the reactions of the supports.[FIG 1]
2. A beam of 6m long and simply supported at the ends is loaded with a varying load from zero at the left hand end to 2KN.m at the right hand end. Determine the reactions at the supports. [FIG 2]
3. A simply supported beam at the ends carries distributed load which varies according to the law y=6x^3 where y is in KN/m and x is in metres measured from the left end of the beam. Determine the reactions at the supports. Length of beam = 5m. [FIG 3]
4. A simply supported beam of length 10m carries the uniformly distributed load and two point loads as shown in [FIG 4].Calculate the reaction RA and RB.
5. A simply supported beam of length 5m carries a uniformly increasing load of 800N/m at one end to 1600N/m at the other end. Calculate the reactions at both ends. [FIG 5]
PROBLESM ON OVERHANGING BEAM
6. Calculate the reactions at both ends for the given overhanging beams.[FIG 6]
PROBLEMS ON ROLLER AND HINGED SUPPORTED
7. A beam AB of span 6m is hinged at A and supported on rollers at end B and carries load as shown in [FIG 7].Determine the reactions at A & B.
PROBLEMS WHEN BEAMS ARE SUBJECTED TO COUPLES
8. A simply supported beam AB of 7m span is subjected to (i) 4KNm clockwise couple at 2m from A,(ii) 8KN m anticlockwise couple at 5m from A and (iii) a triangular load with zero intensity at 2m from A increasing to 4KN per m at a point 5 m from A. Determine reactions at A and B. [FIG 8]
9. Find the reactions at the supports A and B of the beam shown in [FIG 9].
10. A beam AB of span 8m is subjected to the uniformly distributed load of 1KN/m over the entire length and the moment 32KNm at C as shown in [FIG 10].Determine the reactions at the both ends.

ME09 306 SESSIONAL 01

FIRST SESSIONAL

1. 6
2. 23
3. A
4. 16
5. 24
6. 21
7. 11
8. 11
9. 19
10. 24
11. 26
12. 22
13. 25
14. A
15. 23
16. 29
17. 12
18. 29
19. 20
20. 21
21. 21
22. 20
23. 22
24. 26
25. 18
26. 20
27. 20
28. 16
29. 20
30. 20
31. 21
32. 23
33. 40
34. 20
35. 20
36. 20
37. A
38. 17
39. 23
40. 25
41. 20
42. 18
43. 25
44. 21
45. 22
46. 17
47. 13
48. 23
49. 20
50. 20
51. 12
52. 23
53. 20
54. 23
55. 10
56. 34
57. 21
58. 45
59. 26
60. 28

EN09 105 ENGINEERING MECHANICS[2010]

MODULE 1: 19.07.2010 TO 21.08.2010 [16]
MODULE 2: 06.09.2010 TO 09.10.2010 [16]
MODULE 3: 18.10.2010 TO 20.11.2010 [14]
MODULE 4: 29.11.2010 TO 30.12.2010 [14]

EN 09 105 -ENGINEERING MECHANICS