This free online statics course teaches how to assess and solve 2D and 3D statically determinate problems.  The course consists of 73 tutorials which cover the material of a typical statics course (mechanics I) at the university level or AP physics. 

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.

Vector Review

Many of the tutorials in the vector review section are borrowed from the linear algebra playlist. Ignore any vectors that go beyond 3 dimensions. Vector concepts apply to vectors in any dimension.

1. Draw a vector in standard position, or anywhere
2. Find the scalar multiple of a vector
3. Adding vectors
4. Subtracting vectors
5. Find the dot product of vectors
6. Find the length of a vector and give a unit vector in it's direction
7. Determine orthogonality and angles between vectors
8. Find the Projection of v onto u
9. Determine the cross product of two vectors in R^3
10. Using i, j, k unit vectors to describe vectors
11. Right hand rule for the vector cross product
12. A quick cross product shortcut
13. Cosine law examples
​

Two-Dimensional Static Equilibrium

14. What is static equilibrium
15. How to draw good free-body diagrams (FBDs)
16. Why is the tension the same everywhere in a rope
17. How to calculate forces of three ropes pulling in different directions
18. Using symmetry in statics problems
19. How to find the mass pulling on a spring when given the deflection
20. How to find the force exerted by a spring
21. More comprehensive spring problem
22. How to calculate normal force on a slope
23. How to calculate tension in multiple pulley system
24. How to calculate tension in multiple pulley system on a slope


​​Moments

25. What is a moment
26. How to calculate moments with the cross product
27. How to balance a see-saw using moments example problem
28. Find the moment of a force about a point
29. Representing force couples as moments
30. Force couple example problem
31. Reaction forces and the different types of 2D supports
32. Statics problem #1 with support reactions
33. Statics problem #2 with support reactions
34. Represent an equivalent system with one force and one moment


​Friction

35. Friction example problem #1
36. Friction example problem #2
37. Friction problem with moments: pushing a vending machine, will it tip?


​Three-Dimensional Static Equilibrium

38. Reaction forces and the different types of 3D supports
39. How to solve 3D statics problems
40. 3D statics problem: worked example with ball/socket and cables
41. 3D statics problem: worked example with hinge and cable


​Trusses

42. What are trusses?
43. Truss analysis by method of joints explained
44. Truss analysis by method of joints: worked example #1
45. Truss analysis by method of joints: worked example #2
46. How to identify zero force members in trusses
47. Find the zero force members in a truss: example #1
48. Find the zero force members in a truss: example #2
49. Truss analysis by method of sections explained
50. Truss analysis by method of sections: worked example #1
51. Truss analysis by method of sections: worked example #2


​Frames and Machines

52. How to solve frame and machine problems
53. Two force members explained
54. Three force members explained
55. Frame example problem #1
56. Frame example problem #2
57. Frame example problem #3

Centroids and Distributed Loads

58. Introduction to centroids
​59. How to find the centroid of simple shapes 
60. How to find the centroid of simple composite shapes
61. How to find the centroid of the area under a parabola
62. Distributed loading on a beam example #1: rectangular loads
63. Distributed loading on a beam example #2: triangular loads
64: Distributed loading on a beam example #3: parabolic loads
65. Distributed loading on a beam example #4: composite shapes


​Shear Force and Bending Moment Diagrams

66. Introduction to internal forces
67. Internal force sign convention
68. Shear force and bending moment diagram example #1: single point load
69. Shear force and bending moment diagram example #2: multiple point loads
70. Shear force and bending moment diagram example #3: distributed loads
71. Shear force and bending moment diagram example #4: applied moment
72. Shear force and bending moment diagram example #5: mixed distributed and point loads
​73. Shear force and bending moment diagram software
There are also more video examples of SFDs & BMDs in the first section of the Structural Analysis course. ​

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Engineer4Free Statics Notes

This is a 44-page print out of the work from all of the Statics videos for quick reference or offline use.

Download the Statics Notes PDF (plus all other course printouts), and directly support the work that I am doing for as little as $2.
Engineer4Free Statics PDF Notes Page 14
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