These 56 tutorials cover typical material from a second year mechanics of materials course (aka solid mechanics). A solid understanding (pun intended?) of statics and calculus is necessary to properly learn and grasp the concepts of solid mechanics.

In order to gain a comprehensive understanding of the subject, you should start at the top and work your way down the list. That way you will start learning the most basic concepts first and build off of those as you progress through the course.

Stress

1. Normal stress
2. Normal stress in members with varying cross-sectional area
3. Shearing stress
4. Double shear
5. Bearing stress
6. Factor of safety

Strain

7. Normal strain
8. Stress strain diagram explained
9. Hooke's law
10. Normal strain in members with varying cross-sectional area
11. Use Hooke's law to find deflection in a statically determinate frame
12. Intro to statically indeterminate problems and the principle of superposition
13. Find the reactions of a statically indeterminate member with varying cross section

Torsion

14. Torques and angle of twist
15. Angle of twist due to torsion in a shaft with varying cross section
16. Shearing strain due to torsion in a shaft
17. Shearing stress due to torsion in a solid circular shaft
18. Shearing stress due to torsion in a hollow circular shaft
19. Find the minimum diameter of a solid circular shaft in torsion
​20. Find the minimum inner diameter of a hollow circular shaft in torsion
21. Find the maximum permissible torque for a shaft of known dimensions

Pure Bending

22. Pure bending introduced
23. Geometry of pure bending problems
24. Stress and strain in the elastic range due to pure bending
25. Moment of inertia for composite shapes
26. Elastic section modulus demonstration
27. Pure bending in the elastic range example #1: rectangular beam
28. ​Pure bending in the elastic range example #2: T-beam

Pure Bending of Composite Materials

29. Pure bending of composite materials introduced
30. Pure bending of composite materials worked example #1
31. Pure bending of composite materials worked example #2
32: How to solve pure bending problems for reinforced concrete
33: Pure bending of reinforced concrete example #1
34: Pure bending of reinforced concrete example #2

Beam Deflection

35. Introduction to beam deflection and the elastic curve equation
36. Find deflection and slope of a cantilever beam with a point load
37. Find deflection of a simply supported beam with distributed load
38. Find deflection and slope of a simply supported beam with a point load
​39. Statically indeterminate beam deflection and slope example

Tutorials for the Method of Superposition, Moment Area Method, Displacement Method, Slope Deflection Method, 3 Moment Equation, and Force Method are located in the Structural Analysis course. 

Energy Methods

40. Strain energy and strain density introduced
41. Calculate elastic strain energy for a member with axial loading
42. Calculate elastic strain energy for a cantilever beam with a point load
43. Calculate elastic strain energy for a simply supported beam with a point load
44. Calculate elastic strain energy for a member in torsion
45. Truss deflection under a single load example problem #1 (virtual work)
46. Truss deflection under a single load example problem #2 (virtual work)
47. How to apply Castigliano's theorem
48. Castigliano's theorem example #1: deflection at an applied point load
49. Castigliano's theorem example #2: deflection using a dummy load

Columns

50. Columns and buckling introduced
51. Effective length of columns with different end conditions
52. Column buckling example problem #1: both ends pinned
53: Column buckling example problem #2: both ends fixed 
54: Column buckling example problem #3: one fixed end, one free end
55. Column buckling example problem #4: one fixed end, one pinned end
56: Column buckling example problem #5: with bracing

More Free Courses

Recommended Books

Engineer4Free
Mechanics of Materials Notes

This is a 36-page print out of the work from all of the Mechanics of Materials videos for quick reference or offline use.

Download the Mechanics of Materials PDF Notes (plus all other course printouts), and directly support the work that I am doing for as little as $2.
Engineer4Free Mechanics of Materials PDF Notes Page 9
Page 9
Engineer4Free Mechanics of Materials PDF Notes Page 15
Page 15
Engineer4Free Mechanics of Materials PDF Notes Page 36
Page 36


Become a Patron


Structural Analysis Software
 👉  Please support my work on Patreon 👈 ​