AS2010: Basic strength of materials
No. Date Lecture topic Textbook reference
1. 31 Jul Course policies, and objectives. Equilibrium equations, and their solution. Crandall §1.1-1.7
2. 1 Aug Exercises 1.9, 1.11, 1.43 Crandall §§1
3. 1 Aug Quiz 1; Solution
4. 1 Aug Friction. The exp(μβ) formula. Examples.
5. 2 Aug Linear elastic materials. δ = (FL)/(AE). Effective spring constant of a rod. Statically determinate and indeterminate structures. § 2.1-2.2
6. 4 Aug Forces and deflections of a statically determinate truss structure. An example. § 2.3
7. 7 Aug An example demonstrating the calculation of forces and deflections of a statically indeterminate truss structure. § 2.4
8. 8 Aug More examples. § § 2
9. 8 Aug Quiz 2; Solution
10. 8 Aug Forces in thin-walled internally pressurized hoops. § 2.3
11. 9 Aug Resultant forces and moments at arbitrary cross-sections. Detemination of resultants using equilibrium. § 3.1
12. 11 Aug Rules for drawing shear force and bending moment diagrams with concentrated loads and moments. § 3.2
13. 14 Aug Shear force and bending moments under a uniformly distributed load. Superposed concentrated and distributed loads. § 3.3
14. 16 Aug Exercises 2.17, 2.31, 2.37 §§ 2.
15. 18 Aug Quiz 3; Solution
16. 21 Aug Exercises 3.8, 3.9, 3.10, 3.14. §§ 3.
17. 22 Aug Ex. 3.17, 3.27 §§ 3
18. 22 Aug Quiz 4; Solution
19. 22 Aug Stress, stress components σ··; physical meaning thereof. § 4.1, 4.2.
20. 23 Aug Equilibrium equations. Symmetry of the stress matrix. § 4.4
21. 28 Aug Plane stress. Equilibrium in plane stress. § 4.4
22. 29 Aug Mohr's circle of stress. Derivation. § 4.6
23. 29 Aug Quiz 5 Solution
24. 29 Aug Exercises 4.6, 4.10, 4.26 (a) §§ 4
25. 30 Aug Ex. 4.25. §§ 4
26. 1 Sep Motion = translation + rotation + deformation. Plane strain. § 4.8
27. 4 Sep Components of strain. Strain-displacement relationship in plane strain. § 4.9, 4.10
28. 5 Sep Mohr's circle of strain § 4.12
29. 5 Sep Strain measurement using rossettes. Analysis of the 45 deg rossette. § 4.14, Example 4.4
30. 6 Sep Quiz 6; Solution
31. 8 Sep Hooke's law in rods. General states of stress and strain. Assumptions of material isotropy and linearity.
32. 11 Sep Poisson effect. Demonstration that normal stresses produce shear strains. Demonstration that a certain shear stress does not produce other shear strains.
33. 12 Sep Generalised Hooke's law. Inverting the generalised Hooke's law. Dilatation.
34. 12 Sep Quiz 7; Solutions
34. 12 Sep Ex. 5.1, 5.2, 5.8 §§ 5
35. 13 Sep Ex. 5.12, 5.13, 5.14. Thermal strains. §§ 5
36. 15 Sep Yielding, and the loss of linearity. von Mises and Tresca criteria.
37. 18 Sep Ex. 5.16, 5.41 §§ 5
38. 19 Sep Torsion of a circular shafts. Kinematics of torsional deformation. § 6.1, 6.2
39. 19 Sep Quiz 8; Solutions
40. 19 Sep Stresses developed in a solid circular shaft. Twist in a solid circular shaft. § 6.3, 6.4, 6.5
41. 20 Sep Hollow shafts. Examples involving combined axial and twisting moments. § 6.6, 6.7
42. 22 Sep Ex 6.2, 6.10, 6.14 § § 6
43. 25 Sep Ex. 6.3 §§ 6
44. 26 Sep Ex. 6.6 §§ 6
45. 26 Sep Quiz 9; Solutions
46. 26 Sep Bending. Kinematics of pure bending. Curvature. Plane sections remain plane. The notion of a neutral surface.
47. 27 Sep Bending stresses, second moment of area, moment-curvature relationship in beams.
48. 27 Sep Derivation and application of the σxx = My / Ixx formula.
49. 3 Oct The case of non-pure bending (non-zero shear force). Derivation of σxy = VQ / (Izz b).
50. 3 Oct Quiz 10; Solution
51. 3 Oct Discussion on VQ/Ib for wide-flanged beams.
52. 4 Oct More discussion on VQ/Ib for wide-flanged beams.