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Dedication

Time

consistencY



σy
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σx←τxy



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.


    Worked out problems with solutions in pdf files


    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.

    Finding magnitude and direction of resultant force
    Figure 2: Finding resultant force

    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.

    Resultant forces with a spring
    Figure 3:Resultant forces with a spring

    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.

    Resultant Moment Ex1
    Figure 4:Finding resultant moment

    solution.pdf

  7. Couple Moment Example
  8. Figure 5:

    solution.pdf

  9. Support Reactions
  10. Support Reactions
    Figure 6:Reaction supports

  11. Types of beams
  12. Types of beams
    Figure 7:Types of beams

  13. Types of loads
  14. Types of loads
    Figure 8:Types of loads

    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.

    Reactions 1
    Figure 7: Simply supported beam with a point load at the midspan

    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.

    Reactions 2
    Figure 7: Simply supported beam with a uniform distributed load

    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).

    Rocker Roller beam with a point load and concentrated moment
    Figure 7:Rocker Roller beam with a point load and concentrated moment

    ReactionsEx3solution.pdf

  21. Finding reactions Example 4
  22. Figure 8:

    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).

    Truss Ex1
    Figure : Method of Sections Example 1

    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).

    Truss Ex2
    Figure : Method of Joints Example 2

    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).

    Truss Ex3
    Figure : Bowstring truss

    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).

    Truss Ex4
    Figure : Bowstring truss

    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.

    Frames and machines ex 1
    Figure 11: Frames and machines example 1

    FramesMachinesEx1solution.pdf

  35. Finding internal forces in frames and machines Example 2
  36. Figure 12:

    solution.pdf


    Shear and Moment diagrams

    Relationships between Loading, Shear and Moment diagram

    Relationships between Loading, Shear and Moment diagram
    Figure : Relationships between Loading, Shear and Moment diagram


  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.

    Simply supported beam with UDL
    Figure : Simply supported beam with a uniform distributed load

    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.

    Simply supported beam with triangular UDL
    Figure : Simply supported beam with triangular UDL

    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.

    Fixed beam with UDL, concentrated load and moment
    Figure : Fixed beam with UDL, concentrated load and moment

    FixedBeamwithUDLConcentratedLoadandMomentsolution.pdf

  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.

    Simply Supported Beam with UDL and concentrated moment
    Figure : Simply Supported Beam with UDL and concentrated moment

    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.

    Rocker-roller support beam with a triangular distributed load and point load
    Figure : Rocker-roller support beam with a triangular distributed load and point load

    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.

    Fixed-rocker support beam with hinge at midspan, with a concentrated moment and a point load
    Figure : Fixed-rocker beam with hinge at midspan, 2 point loads and a concentrated moment

    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.

    Overhang beam
    Figure 13:Overhang beam with a Uniformly Distributed Load (UDL) and a point load

    OverhangBeamVandMsolution.pdf

  51. Drawing Shear (V) and Moment (M) diagrams Example 6
  52. Figure 14:

    solution.pdf

  53. Drawing Shear (V) and Moment (M) diagrams Example 7
  54. Figure 15:

    solution.pdf

  55. Drawing Shear (V) and Moment (M) diagrams Example 8
  56. Figure 16:

    solution.pdf


    Friction


  57. Solving a friction Example 1
  58. Figure 17:

    solution.pdf

  59. Solving a friction Example 2
  60. Figure 18:

    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.

    Inertia of a hollow rectangular section
    Figure 19:Finding the inertia for a rectangular hollow section

    InertiaEx1solution.pdf

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

    Inertia of T-shape section
    Figure 20:Finding the inertia for a T-shape beam

    InertiaEx2solution.pdf

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

    Inertia of a channel section
    Figure 19:Finding the inertia for a rectangular hollow section

    InertiaEx3solution.pdf

    Videos








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