NOC:Mechanics of Materials (USB)

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SKU
105106172



Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Dr. U. Saravanan

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 102

NPTEL Course Size : 18 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

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

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