Lecture 1 - Why this course?

Lecture 2 - Concepts and equations in this course

Lecture 3 - Objectives and prerequisite

Lecture 4 - Linear Algebra

Lecture 5 - Vector Algebra

Lecture 6 - Representation of Vector

Lecture 7 - Concept of Force

Lecture 8 - Definition of a body

Lecture 9 - Motion and Displacement field

Lecture 10 - Traction

Lecture 11 - Properties of traction

Lecture 12 - Defnition of stress tensor and linear function

Lecture 13 - Tensor Algebra

Lecture 14 - Meaning of components of the stress tensor

Lecture 15 - Transformation of stress components

Lecture 16 - Mohr's Circle derivaion

Lecture 17 - Example 1: Construction of Mohr's circle

Lecture 18 - Example 2: Extremum normal and shear stress

Lecture 19 - Example 3: Transformation of stress components

Lecture 20 - Uniaxial stress

Lecture 21 - Hydrostatic, pure shear and deviatoric stress

Lecture 22 - Biaxial and Plane state of stress

Lecture 23 - Extreme stress for 3D stresses

Lecture 24 - Extremum shear stress

Lecture 25 - Stresses in the Octahedral plane

Lecture 26 - 2D Equilibrium equations

Lecture 27 - 3D Equilibrium equations

Lecture 28 - Stretch ratio and strain

Lecture 29 - Curves and arc Length

Lecture 30 - Gradient

Lecture 31 - Deformation and displacement Gradient

Lecture 32 - Right Cauchy Green Deformation tensor

Lecture 33 - Homogeneous deformation

Lecture 34 - Engineering strain

Lecture 35 - Change in Angle

Lecture 36 - Transformation of strain components/ Strain Rosette

Lecture 37 - Compatibility condition

Lecture 38 - Constitutive relation

Lecture 39 - Young's Modulus and Poisson's Ratio

Lecture 40 - Shear Modulus

Lecture 41 - Bulk Modulus

Lecture 42 - Restriction on material parameters

Lecture 43 - Thermal strain

Lecture 44 - Strain energy, load potential and total potential

Lecture 45 - Stepped shaft subjected to axial force

Lecture 46 - Inhomogeneous bar subjected to axial force

Lecture 47 - Stepped shaft subjected to raise in temperature

Lecture 48 - Traction in member subjected to bending

Lecture 49 - Governing equilibrium equations

Lecture 50 - Displacement field

Lecture 51 - Bending equation

Lecture 52 - Radius of curvature

Lecture 53 - Shear force and bending moment diagram

Lecture 54 - Variation of axial stress

Lecture 55 - Deflected shape and rotation of cross section

Lecture 56 - Expression to find shear stress

Lecture 57 - Finding centroid of a cross section

Lecture 58 - Parallel axis theorem and its application

Lecture 59 - Vertical shear stress in I section

Lecture 60 - Horizontal shear stress in I section

Lecture 61 - Connection design

Lecture 62 - Definition of shear center

Lecture 63 - Shear center of Channel section

Lecture 64 - Expression to find shear center

Lecture 65 - Shear force and bending moment diagram

Lecture 66 - Deflected shape and rotation of cross section

Lecture 67 - Finding allowable load

Lecture 68 - Modified bending equation

Lecture 69 - Bending of a composite beam

Lecture 70 - Connection design

Lecture 71 - Moment of Intertia about arbitrarily oriented axis

Lecture 72 - Example: Angle section

Lecture 73 - Bending equation for bending about principal axis

Lecture 74 - Bending equation about arbitrary axis

Lecture 75 - Neutral axis

Lecture 76 - Load not about principal axis

Lecture 77 - Load about principal axis

Lecture 78 - Displacement field

Lecture 79 - Torsion equation

Lecture 80 - Example problems

Lecture 81 - Expression relating angle of twist with torsion and shear stress

Lecture 82 - Example problems: Open sections

Lecture 83 - Thin walled closed sections

Lecture 84 - Example problems: Thin walled sections

Lecture 85 - Cylindrical polar coordinate system

Lecture 86 - Displacement field

Lecture 87 - Governing differential equation and solution

Lecture 88 - Example problems : Thick walled cylindrical vessel

Lecture 89 - Thin walled pressure vessels

Lecture 90 - General Principals

Lecture 91 - Different failure modes

Lecture 92 - Tresca Condition

Lecture 93 - vonMises condition

Lecture 94 - Maximum normal stress or rankine condition

Lecture 95 - Mohr - Columb condition

Lecture 96 - Drucker-Prager Condition

Lecture 97 - General Concepts

Lecture 98 - Euler critical load for simply supported column

Lecture 99 - Euler critical load for column with any boundary condition

Lecture 100 - Secant formula

Lecture 101 - Pressure vessel and failure theory

Lecture 102 - Determination of maximum load carrying capacity of a simple truss