Advanced Strength of Materials (Prof. S. K. Maiti, IIT Bombay): Lecture 29

Advanced Strength of Materials

Advanced Strength of Materials. Instructor: Prof. S. K. Maiti, Department of Mechanical Engineering, IIT Bombay. This course discusses topics about advanced strength of materials: Stress and strain tensor, Cauchy formula, Principal stress, Hydrostatic stress, Deviatoric stress, Stress transformations, Mohr's circle, Octahedral shear stress, Strain energy densities, Theories of failure, Beam on elastic foundations, Bending of curved beams, Torsion of Non-circular members, Unsymmetrical bending, and Shear center. (from nptel.ac.in)

Lecture 29 - Theorems of Elasticity (cont.)

Uniqueness theorem, Principle of superposition, Method of virtual work and minimum potential energy principle, Castigliano's theorem, Complementary energy principle, Maxwell-Betti Reciprocal theorem.

Go to the Course Home or watch other lectures:

Lecture 01 - Stress and Strain Tensor

Lecture 02 - Stress and Strain Tensor (cont.), Cauchy Formula for Traction

Lecture 03 - Examples on Calculation of Strains and Tractions, Principal Stresses and Directions

Lecture 04 - Examples on Calculation of Principal Stresses and Directions, Orthogonality of Principal Directions, Principal Stresses are All Real

Lecture 05 - Maximum Shear Stress and Octahedral Shear Stress, Deviatoric and Hydrostatic Stresses

Lecture 06 - Transformation of Stresses and Mohr's Circle in 3D

Lecture 07 - Mohr's Circle (cont.)

Lecture 08 - Deformation, Rotation and Strain Tensors, Principal Strains, Deviatoric and Hydrostatic Stresses

Lecture 09 - Strain Transformations, Strains in Polar Coordinates, Equilibrium Equations in 2D

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

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