Advanced Strength of Materials


Lecture 1 - Stress and Strain Tensor


Lecture 2 - Stress and Strain Tensor (Continued) and Cauchy Formula for Traction


Lecture 3 - Examples on Calculation of Strains and Tractions, Principal Stresses and Directions


Lecture 4 - Example on Calculation of Principal Stresses and Directions, Orthogonality of Principal Directions, Principal Stresses are all Real


Lecture 5 - Maximum Shear Stress and Octahedral Shear Stress, Deviatoric and Hydrostatic Stresses


Lecture 6 - Transformation of Stresses and Mohr Circle in 3-D


Lecture 7 - Mohr Circle (Continued)


Lecture 8 - Deformation, Rotation and Strain Tensors, Principal Strains,Deviatoric and Hydrostatic Strains


Lecture 9 - Strain Transformations, Strains in Polar Coordinates, Equilibrium Equations in 2-D


Lecture 10 - Equilibrium Equations in 2-D Polar Coordinates Plane Stress and Plane Strain Conditions


Lecture 11 - Stress-Strain Relations for Isotropic, Orthotropic and Anisotropic Materials Stress-Strain-Temperature Relations


Lecture 12 - Relation between Elastic Constants and Strain Energy Densities Recap of Lectures 1 to 11


Lecture 13 - Stress Distribution in Thick Cylinder


Lecture 14 - Stresses due to Shrink Fitting


Lecture 15 - Stresses in Rotating Disc


Lecture 16 - Examples on Shrink Fitting and Rotating Disc


Lecture 17 - Torsion of Non-Circular Shaft


Lecture 18 - Torsion of Non-Circular Shaft (Continued)


Lecture 19 - Membrane Analogy for Torsion


Lecture 20 - Torsion of Thin Box Sections


Lecture 21 - Torsion of Box and Open Sections


Lecture 22 - Bending of Curved Bars


Lecture 23 - Bending of Curved Bars (Continued)


Lecture 24 - Theories of Failure


Lecture 25 - Theories of Failure (Continued)


Lecture 26 - Theories of Failure (Continued) and Their Applications, Griffith Theory of Brittle Fracture


Lecture 27 - Application of Griffith Theory, Irwin-Orowan Modification of Griffith Theory, Assessment of Effect of Dynamic Loading


Lecture 28 - Theorems of Elasticity


Lecture 29 - Theorems of Elasticity (Continued)


Lecture 30 - Thermal Stress Distribution in Rectangular Sheet due to Symmetric and Asymmetric Temperature Fields


Lecture 31 - Thermal Stress Distribution in Cylinders


Lecture 32 - Unsymmetrical Bending


Lecture 33 - Shear Centre


Lecture 34 - Plate Bending


Lecture 35 - Plate Bending (Continued)


Lecture 36 - Examples on Plate Bending


Lecture 37 - Approximate Solutions for Bending of Rectangular and Circular Plates


Lecture 38 - Thin Shells of Revolution


Lecture 39 - Beam on Elastic Foundation


Lecture 40 - Application of Beam on Elastic Foundation Analysis to Pressure Vessels for Calculation of Discontinuity Stresses