Lecture 2 of 32Week 1
Traction Vector
Prof. Ajeet Kumar · IIT Delhi
Credits and licence
- From
- Solid Mechanics, IIT Delhi (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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- Tweens profiles and older. How courses are placed
All the lectures
- Mathematical Concepts: Working with Vectors & Tensors
- Traction Vector
- Stress Tensor & its Matrix Representation
- Transformation of Stress Matrix
- Stress Equilibrium Equations : Balance of Linear & Angular Momentum
- Balance of Angular Momentum (contd…)
- Principal Planes & Principal stress components
- Maximizing the Shear Component of Traction
- Mohr's Circle
- Mohr's Circle (contd…), Stress Invariants, Decomposition of the Stress Tensor
- Concept of Strain Tensor
- Longitudinal and Shear Strains
- Local Volumetric Strain & Local Infinitesimal Rotation
- Similarity in Properties of Stress & Strain Tensors
- Stress-Strain Relation
- Stress-Strain Relation for Isotropic Materials
- Linear Momentum Balance in Cylinderical Coordinate System
- Linear Momentum Balance in Cylinderical Coordinate System (Contd..)
- Strain Matrix in Cylinderical Coordinate System
- Extension-Torsion-Inflation in a Hollow Cylinder
- Extension-Torsion-Inflation in a Hollow Cylinder (Contd..)
- Solving Problems Involving Torsion of Shafts
- Pure Bending of Rectangular Beams
- Bending of Beams (Contd..)
- Bending of Unsymmetrical Beams
- Concept of Shear Center
- Theoy of Beams
- Theoy of Beams (Contd…) & Beam Buckling
- Energy Methods
- Energy Methods (contd…)
- Theories of Failure
- Theories of Failure (contd…)