NOC:Mechanics of Materials


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