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Lecture 4 of 40Advanced Strength of Materials

Example on Calculation of Principal Stresses and Directions, Orthogonality of Principal Directions, Principal Stresses are all Real

Prof. S.K. Maiti · IIT Bombay

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Advanced Strength of Materials, IIT Bombay (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Stress and Strain Tensor Video
  2. Stress and Strain Tensor (Continued) and Cauchy Formula for Traction Video
  3. Examples on Calculation of Strains and Tractions, Principal Stresses and Directions Video
  4. Example on Calculation of Principal Stresses and Directions, Orthogonality of Principal Directions, Principal Stresses are all Real Video
  5. Maximum Shear Stress and Octahedral Shear Stress, Deviatoric and Hydrostatic Stresses Video
  6. Transformation of Stresses and Mohr Circle in 3-D Video
  7. Mohr Circle (Continued) Video
  8. Deformation, Rotation and Strain Tensors, Principal Strains,Deviatoric and Hydrostatic Strains Video
  9. Strain Transformations, Strains in Polar Coordinates, Equilibrium Equations in 2-D Video
  10. Equilibrium Equations in 2-D Polar Coordinates Plane Stress and Plane Strain Conditions Video
  11. Stress-Strain Relations for Isotropic, Orthotropic and Anisotropic Materials Stress-Strain-Temperature Relations. Video
  12. Relation between Elastic Constants and Strain Energy Densities Recap of Lectures 1 to 11. Video
  13. Stress Distribution in Thick Cylinder Video
  14. Stresses due to Shrink Fitting Video
  15. Stresses in Rotating Disc Video
  16. Examples on Shrink Fitting and Rotating Disc Video
  17. Torsion of Non-Circular Shaft Video
  18. Torsion of Non-Circular Shaft (Continued) Video
  19. Membrane Analogy for Torsion Video
  20. Torsion of Thin Box Sections Video
  21. Torsion of Box and Open Sections Video
  22. Bending of Curved Bars Video
  23. Bending of Curved Bars (Continued) Video
  24. Theories of Failure Video
  25. Theories of Failure (Continued) Video
  26. Theories of Failure (Continued) and Their Applications, Griffith Theory of Brittle Fracture Video
  27. Application of Griffith Theory, Irwin-Orowan Modification of Griffith Theory, Assessment of Effect of Dynamic Loading Video
  28. Theorems of Elasticity Video
  29. Theorems of Elasticity (Continued) Video
  30. Thermal Stress Distribution in Rectangular Sheet due to Symmetric and Asymmetric Temperature Fields Video
  31. Thermal Stress Distribution in Cylinders Video
  32. Unsymmetrical Bending. Video
  33. Shear Centre Video
  34. Plate Bending Video
  35. Plate Bending (Continued) Video
  36. Examples on Plate Bending Video
  37. Approximate Solutions for Bending of Rectangular and Circular Plates Video
  38. Thin Shells of Revolution Video
  39. Beam on Elastic Foundation Video
  40. Application of Beam on Elastic Foundation Analysis to Pressure Vessels for Calculation of Discontinuity Stresses Video