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The objectives of this video are to introduce the parallel axis theorem and to find moment of inertia with respect to axis x for a composite section. At first, the video talks about the shortcomings of the formula used to find moment of inertias for simple shape. These formulas are only valid when the centroid of the shape is at the centroid of the cross-section; however, this is not true for composite sections. This demands necessity of parallel axis theorem for the calculation of moment of inertias for composite bodies. Moving on, the video introduces with the formula of parallel axis theorem.

The formula shows that the moment of inertias of a composite body with reference to an arbitrary axis is equal to the sum of moment of inertias for the complex shape plus the product of ‘area of the shape times the square of the distance between the section centroid and shape centroid’. The video moving forward shows a workout of finding the moment of inertia with respect to axis x for a given exemplary section of T-beam. At end, the video refers to watch next video to continue the lesson.

1. Scalars and Vectors
2. Parallelogram Law and Triangle Method
3. Unit Vectors and Components
4. Vectors Example
5. Vector Tower Example
6. 3D Vectors
7. 3D Vector Example (Part 1)
8. 3D Vectors Example (Part 2)
9. Introduction to Forces
10. Introduction to Moments
11. Moment Example 1
12. Moment Example 2
13. Moments and Couple Moments
14. Equivalent Systems Theory and Example
15. Distrubuted Loads
16. Solving Distributed Loads and Triangular Loads
17. Resolving Forces Advanced Example
18. Introduction to Equilibrium
19. Introduction to Free Body Diagrams (FBD)
20. Free Body Diagram Example
21. Introduction to Supports: Roller, Pin, Fixed
22. Simply Supported Beams Free Body Diagram Example
23. Cantilever Free Body Diagram Example
24. Advanced Free Body Diagram Beam Example
25. Introduction to Axial & Shear Forces and Bending Moments
26. Axial, Shear and Bending Diagrams
27. Method of Sections
28. Method of Sections Simple Example
29. Method of Sections Advanced Example Part 1
30. Method of Sections Advanced Example Part 2
31. Introduction to Hooke's Law
32. Hooke's Law and Stress vs Strain
33. Stress vs Strain Diagram
34. Rectilinear Motion |
35. Rectilinear Motion Examples |
36. Rectilinear Motion with Variable Acceleration |
37. Curvilinear Motion |
38. Projectile Motion |
39. Projectile Motion Formulae Derivations |
40. Circular Motion and Cylindrical Coordinates |
41. Polar Coordinates Example |
42. Newton's Laws and Kinetics |
43. Introduction to Work |
44. Work Example |
45. Power and Efficiency |
46. Work and Energy Example |
47. Potential Energy, Kinetic Energy & Conservation |
48. Conservation of Mechanical Energy Example |
49. Introduction to Impulse and Momentum |
50. Impulse, Momentum, Velocity Example 1 |
51. Impulse, Momentum, Velocity Example 2 |
52. Introduction to Impact |
53. Central Impact Example |
54. Shear Force Diagram Example
55. Bending Moment Diagram Example
56. Shear and Bending Diagrams
57. Beam Analysis Example Part 1
58. Beam Analysis Example Part 2
59. Introduction to Trusses
60. Types of Trusses and Design Assumptions
61. Method of Joints Truss Example
62. Advanced Method of Joints Truss Example
63. Introduction to Method of Sections
64. Method of Sections Theory
65. Method of Sections Truss Example
66. Simple Frame Example
67. Advanced Frames Example
68. Introduction to Friction
69. Static Friction Example
70. Tipping vs Slipping Friction
71. Introduction to Hyrdostatic Forces | Hyd
72. Hydrostatic Forces Example | Hyd
73. Centroids
74. Finding Centroids by Integration
75. Centroids of Composite Shapes Example
76. Moment of Inertia
77. Moment of Inertia Standard Shapes
78. Parallel Axis Theorem Part 1
79. Parallel Axis Theorem Part 2
80. Average Normal Stress
81. Average Stress Example
82. Shear Stress Example
83. Strain

Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.