Mechanics of Solids
- Lecture Notes, Study Materials and Important questions answers

Subject : Mechanics of Solids

Mechanics of Solids

1. Types of Linearity - Answer (click here)
2. Displacements- Vectors and Tensors - Answer (click here)
3. Finite Linear Transformation - Answer (click here)
4. Symmetric and Asymmetric Components - Answer (click here)
5. Principal or Eigen value Representation - Answer (click here)
6. Field Theory - Answer (click here)
7. Deformation (Relative Displacement) - Answer (click here)
8. The Strain Tensor - Answer (click here)
9. The Stress Tensor - Answer (click here)
10. Components at an Arbitrary Orientation (Tensor Transformation) - Answer (click here)
11. Isotropic and Deviatoric Components - Answer (click here)
12. Principal Space and the Octahedral Representation - Answer (click here)
13. Two Dimensional Stress or Strain - Answer (click here)
14. Mohr's Circle for a Plane Tensor - Answer (click here)
15. Mohr's Circle in Three Dimensions - Answer (click here)
16. Stress-Strain Relationships (Rheology) - Answer (click here)
17. Linear Elastic Behavior - Answer (click here)
18. Equilibrium of a Differential Element - Answer (click here)
19. Orthogonal Coordinate Systems - Answer (click here)
20. Linear Viscous Behavior - Answer (click here)
21. Simple Viscoelastic Behavior - Answer (click here)
22. Fitting Laboratory Data with Viscoelastic Models - Answer (click here)
23. Elastic Viscoelastic Analogy - Answer (click here)
24. Elasticity and Plasticity - Answer (click here)
25. Yield of Ductile Materials - Answer (click here)
26. Yield(Slip) of Brittle Materials - Answer (click here)
27. Rational Mechanics - Answer (click here)
28. Strategies for Elastic Analysis and Design - Answer (click here)
29. Tactics for Analysis - Answer (click here)
30. St. Venant’s Principle - Answer (click here)
31. Two Dimensional Stress Formulation - Answer (click here)
32. Types of Partial Differential Field Equations - Answer (click here)
33. Properties of Elliptic Equations - Answer (click here)
34. The Conjugate Relationship Between Mean Stress and Rotation - Answer (click here)
35. The Deviatoric Field and Photoelasticity - Answer (click here)
36. Solutions by Potentials - Answer (click here)
37. Linear Free Fields: Isotropic Stress - Answer (click here)
38. Uniform Stress - Answer (click here)
39. Geostatic Fields - Answer (click here)
40. Uniform Acceleration of the Half space - Answer (click here)
41. Pure Bending of Prismatic Bars - Answer (click here)
42. Pure Bending of Plates - Answer (click here)
43. The Classic Stress-Function Approach - Answer (click here)
44. Airy’s Stress Function in Cartesian Coordinates - Answer (click here)
45. Polynomial Solutions and Straight Beams - Answer (click here)
46. Polar Coordinates and Airy’s Stress Function - Answer (click here)
47. Polar Coordinates and Airy’s Stress Function - Answer (click here)
48. Simplified Analysis of Curved Beams - Answer (click here)
49. Pure bending of a Beam of Circular Arc - Answer (click here)
50. Circular Beams with End Loads - Answer (click here)
51. Remarks for Two Dimensional Solutions for Straight and Circular Beams - Answer (click here)
52. Lame’s Solution for Rings under Pressure - Answer (click here)
53. Small Circular Holes in Plates, Tunnels, and Inclusions - Answer (click here)
54. Harmonic Holes and the Inverse Problem - Answer (click here)
55. Harmonic Holes for Free Fields - Answer (click here)
56. Harmonic Holes for Biaxial Fields - Answer (click here)
57. Harmonic Holes for Gradient Fields - Answer (click here)
58. Neutral Holes - Answer (click here)
59. Solution Tactics for Neutral Holes- Examples - Answer (click here)
60. Concentrated Loadings at the Apex - Answer (click here)
61. Uniform Loading Cases - Answer (click here)
62. Uniform Loading over a Finite Width - Answer (click here)
63. Non uniform Loadings on the Half-Space - Answer (click here)
64. Line Loads within the Half Space and Diametric Loading of a Circular Disk - Answer (click here)
65. Wedges with Constant Body Forces - Answer (click here)
66. Corner Effects Eigen function Strategy - Answer (click here)
67. St. Venant’s Formulation (Noncircular Cross Sections) - Answer (click here)
68. Prandtl’s Stress Function - Answer (click here)
69. Torsion: Membrane Analogy - Answer (click here)
70. Thin Walled Tubes of Arbitrary Shape - Answer (click here)
71. Hydrodynamic Analogy and Stress Concentration - Answer (click here)
72. Plastic Material Behavior - Answer (click here)
73. Plastic Structural Behavior - Answer (click here)
74. Plasticity Field Equations and Thick Ring - Answer (click here)
75. Limit Load by a “Work” Calculation - Answer (click here)
76. Theorems of Limit Analysis - Answer (click here)
77. The Lower Bound Theorem - Answer (click here)
78. The Upper Bound Theorem - Answer (click here)
79. The Bearing Capacity (Indentation) Problem - Answer (click here)
80. Plastic Bending - Answer (click here)
81. Plastic “Hinges” - Answer (click here)
82. Limit Load (Collapse) of Beams - Answer (click here)
83. Limit Analysis of Frames and Arches - Answer (click here)
84. Limit Analysis of Plates - Answer (click here)
85. Plastic Torsion - Answer (click here)
86. Combined Torsion with Tension and/or Bending - Answer (click here)
87. Slip Line Analysis - Answer (click here)
88. Mohr-Coulomb Criterion (Revisited) - Answer (click here)
89. Lateral “Pressures” and the Retaining Wall Problem - Answer (click here)
90. Graphic Analysis and Minimization - Answer (click here)
91. Slip Line Theory - Answer (click here)
92. Purely Cohesive Materials (ϕ=0) - Answer (click here)
93. Weightless Material (γ = 0) - Answer (click here)
94. Retaining Wall Solution for (EPS Material) - Answer (click here)
95. Comparison to the Coulomb Solution (ϕ=0) - Answer (click here)
96. Slopes and Footings - Answer (click here)
97. Solutions for Weightless MohrCoulomb Materials - Answer (click here)
98. Slip Line Analysis: The General Case - Answer (click here)
99. An Approximate “Coulomb Mechanism” - Answer (click here)