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This video presents an example of finding the equation of deflection of cantilever beam subjected to a moment on free edge. Unlike previous examples, the load function or the moment equation is not given in this example. Therefore, the moment’ equation has to be derived in this lesson establishing the principle of equilibrium. First part of the video shows the derivation of moment equation taking cuts and drawing the bending moment diagram over the schematic of given cantilever beam using the equilibrium method explaining all the necessary facts and figures in details.

Next, the video recalls the differential equation of deflection in terms of moment and substitutes the parameter moment with the obtained equation of bending moment. Moving on, the video does the integrations 2 times to get the ultimate equation of deflection & successively shows the procedures to get the values of integration constants applying different boundary conditions as well as derives the formula of maximum deflection for the given structural section of cantilever beam.

1. Mohr's Circle Example
2. Von Mises & Trescas Yield Criterion Example
3. Von Mises Yield Criterion
4. Tresca's Yield Criterion
5. Mohr's Circle Summary Example
6. Combined, Normal and Shear Stress Example
7. Mohr's Circle Equations & Theory
8. Combined Shear Stress & Mohr's Circle
9. Analysis of Combined Stress
10. Closed Pipe, Hoop and Longitdunal Stress Pressure Vessel Example
11. Open Pipe, Hoop and Longitdunal Stress Pressure Vessel Example
12. Longitudinal Stresss in Pressure Vessels
13. Hoop & Cylinder Stress in Pressure Vessels
14. Cantilever Beam with Point Load at Free Edge Deflection Example
15. Cantilever Beam with Moment at Free Edge Deflection Example
16. Cantilever Beam Deflection Example
17. Simply Supported Beam Deflection Example
18. Beam Delfection Equations
19. Beam Deflection Theory
20. Torque & Torsion Summary Example
21. Torsion on a Non-Circular Shaft Example
22. Uniform Torque on a Cylindrical Shaft Example
23. Torsion and Torque Equations
24. Torsion Shear Strain and Stress Distributions
25. Method of Transformed Sections (Beams of 2 Materials) Steel a
26. Method of Transformed Sections (Beams of 2 Materials) Reinforced
27. Method of Transformed Sections (Beams of 2 Materials) Reinforced
28. Method of Transformed Sections (Beams of 2 Materials) Timber Beam Example
29. Method of Transformed Sections (Beams of 2 Materials) Example
30. Method of Transformed Sections (Beams of 2 Materials)
31. Beam Composite Actions: Stress and Strains
32. I-beam Centroid, Second Moment of Area (I-Value), Stress & Strai
33. Example 8 Centroid Hollow section, I Value + Stresses due to bending
34. C-Section Stress & Strain Distributions from Bending
35. I-Beam Stress & Strain Distributions from Bending
36. Bending of Beams: Stress & Strain Distributions (about y-axis)
37. Bending of Beams: Stress & Strain Distributions
38. Channel Section Centroid & Second Moment of Area (I value) Example
39. Second Moment of Area (Iy value) of Band Beam Example
40. Second Moment of Area (Ix value) of Band Beam Example
41. Centroid of Band Beam Example
42. Centroid of I-Beam Example
43. Axial Loading & Temperature Effects
44. Axial Loading of a Composite Structural Member
45. Axial Loading Example
46. Stress & Strain: Non Linear, Ductile and Brittle Behaviour
47. Stress & Strain Diagram
48. Strain & Poisson's Ratio
49. Normal & Shear Stress
50. Stress, Strain, Strength, Stiffness & Defomation
51. Twisting Moment Diagram Example
52. Example 5: Axial Force, Shear Force and Bending Momemt Diagram (2/2)
53. Example 5: Axial Force, Shear Force and Bending Momemt Diagram (1/2)
54. Example 4: Axial Force, Shear Force and Bending Momemt Diagram (2/2)
55. Example 4: Axial Force, Shear Force and Bending Momemt Diagram (1/2)
56. Example 3: Axial Force, Shear Force and Bending Momemt Diagram (2/2)
57. Example 3: Axial Force, Shear Force and Bending Momemt Diagram (1/2)
58. Example 2: Axial Force, Shear Force and Bending Momemt Diagram (2/2)
59. Axial Force, Shear Force and Bending Momemt Diagram Example 2 (1/2)
60. Axial Force, Shear Force and Bending Momemt Diagram Example 1
61. Relationships Between Bending, Shear and Axial Forces
62. Axial Force Diagram, Shear Force Diagram & Bending Moment Diagram
63. Equilibrium & Free Body Diagram Example 2
64. Equilibrium & Free Body Diagram Example 1
65. Equilibrium & Free Body Diagrams
66. Loads, Transfer of Forces & Supports
67. Simply Supported Beam Deflection from Loading Function Example

This course builds on the concept of force and moment equilibrium learnt from first year engineering mechanic and physics courses and focuses on the internal actions and deformations experienced by simple structural members under loading. Concepts learnt in the course such as load transfer through axial, shear, bending and torsion as well as stress and strain relationships are the foundation for further study in any structural engineering related courses.