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# Engineering Statics

Statics is one of the branches of rigid-body mechanics that focuses on the study of bodies in equilibrium/at rest (acceleration = zero) or with a constant velocity.

## Magnitude and Direction of a Resultant Force

1. Finding resultant force, magnitude and direction Example 1
2. Find the magnitude and direction of the resultant force for the figure shown below. ForcesEx1solution.pdf

3. Spring problem Example
4. For the figure shown below, F2 has a spring stiffness, k= 0.4 kN/m, with a stretched length of s = 0.5 m; F2 and F3 are regular forces. Find the magnitude of the force F3. solution.pdf

5. Moment of force Example
6. For the figure given below, compute the resultant moment about point A and B due to the forces acting on the structure. solution.pdf

7. Couple Moment Example
8. solution.pdf

9. Support Reactions
10. 11. Types of beams
12. 14. ## Reactions

15. Finding reactions Example 1
16. This simply supported beam is supported by a pin at A, a roller at B, and has a point load at the midspan, find the reactions at A and B. Reactions1solution.pdf

17. Finding reactions Example 2
18. This simply supported beam is supported by a pin at A , a roller at B, and has a uniformly distributed load acting throughout the entire span, find the reactions at A and B. Reactions1solution.pdf

19. Finding reactions Example 3
20. The beam is supported by a rocker at A, roller at B and is subjected to a point load and concentrated moment. Calculate the reactions (in kN). ReactionsEx3solution.pdf

21. Finding reactions Example 4
22. solution.pdf

## Trusses

23. Finding internal forces in trusses (using Method of Joints Example)
24. solution.pdf

25. Finding internal forces in trusses (using Method of Sections Example 1)
26. The truss shown below is supported by a pin at A and a roller at H. Compute the forces in member CE, BE and BD and indicate whether the members are in tension (T) or compression (C). StaticsTrussEx1solution.pdf

27. Finding internal forces in trusses (using Method of Joints Example 2)
28. Compute the forces in each member and indicate whether the members are in tension (T) or compression (C). StaticsTrussEx2solution.pdf

29. Finding internal forces in trusses (using Method of Sections Example)
30. The bowstring truss shown below is supported by a pin at A and a roller at L. Compute the forces in member DF, EF and EG and indicate whether the members are in tension (T) or compression (C). StaticsTrussEx3solution.pdf

31. Finding internal forces in trusses (using Method of joints Example)
32. The horizontal truss shown below is supported by a pin at A and a roller at L. Compute the forces in each member and indicate whether the members are in tension (T) or compression (C). StaticsTrussEx4solution.pdf

## Frames and Machines

33. Finding internal forces in frames and machines Example 1
34. The structure shown below has a roller support at A and is pinned at B and D, consisting of rigid frames and pulleys. Find the reactions at A, B and D for the frames and machines if m1 = 100 kg and m2 = 150 kg. FramesMachinesEx1solution.pdf

35. Finding internal forces in frames and machines Example 2
36. solution.pdf

## Shear and Moment diagrams 37. Drawing Shear (V) and Moment (M) diagrams Example 1
38. This simply supported beam is supported by a pin at A , a roller at B, and has a uniformly distributed load acting throughout the entire span, draw the shear and moment diagrams. ShearandMomentEx1solution.pdf

39. Drawing Shear (V) and Moment (M) diagrams Example 2
40. This simply supported beam is supported by a pin at A , a roller at B, and has a triangular distributed load acting throughout the entire span, draw the shear and moment diagrams. VandMTriangularUDLsolution.pdf

41. Drawing Shear (V) and Moment (M) diagrams Example 3
42. This beam is fixed at A, free at C, has a uniform distributed load acting throughout half of the span, has a concentrated load and a concentrated moment, draw the shear and moment diagrams. 43. Drawing Shear (V) and Moment (M) diagrams Example 4
44. This beam is supported by a pin at A, and a roller at C. It has a uniform distributed load acting throughout half of the span from B to C, and has a concentrated moment at midspan from A to B, draw the shear and moment diagrams. SimplySupportedBeamsolution.pdf

45. Drawing Shear (V) and Moment (M) diagrams Example 5
46. This beam is supported by a rocker at A, and a roller at C. A triangular distributed load is distributed from A to B, and a point load halfway from B to C, draw the shear and moment diagrams. RollerRockerBeamsolution.pdf

47. Drawing Shear (V) and Moment (M) diagrams Example 6
48. This beam is supported by a rocker at A, is fixed at C, and has a hinge at B. A concentrated moment is applied at C, and 2 point loads acting from A to B and B to C, draw the shear and moment diagrams. FixedRockerBeamWithHingesolution.pdf

49. Drawing Shear (V) and Moment (M) diagrams Example 5
50. Draw the shear and moment diagram for this overhang beam with a Uniformly Distributed Load (UDL) and a point load as shown below. OverhangBeamVandMsolution.pdf

51. Drawing Shear (V) and Moment (M) diagrams Example 6
52. solution.pdf

53. Drawing Shear (V) and Moment (M) diagrams Example 7
54. solution.pdf

55. Drawing Shear (V) and Moment (M) diagrams Example 8
56. solution.pdf

## Friction

57. Solving a friction Example 1
58. solution.pdf

59. Solving a friction Example 2
60. solution.pdf

## Inertia

61. Calculating inertia Example 1
62. Compute the moment of inertia about the centroid (Ix) for the hollow rectangular section given below. InertiaEx1solution.pdf

63. Calculating inertia Example 2
64. Compute the moment of inertia about the centroid (Ix) for the T-shape section given below. InertiaEx2solution.pdf

65. Calculating inertia Example 3
66. Compute the moment of inertia about the centroid (Ix) for the channel section given below. InertiaEx3solution.pdf

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