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Course10510416060 lectures

Mechanics of Solids - IITK

Prof. Priyanka Ghosh · IIT Kanpur

Start with lecture 1 At NPTEL

About

This course is to serve as an introduction to mechanics of deformable solid bodies. The primary course objective is to equip the students with the tools necessary to solve mechanics problems, which involves (a) static analysis of a component to find the internal actions (forces and moments), (b) determine stresses, strains and deformation due to internal actions, and (c) compare them with known acceptable values. This requires the familiarity with the vocabulary of the subject, skill of drawing free body diagrams and the understanding of the material behavior under loads. It is expected to improve your engineering design skills.

Prerequisites: Physics/Mathematics

Lectures

Week 01: Introduction to Mechanics of Solids

  1. Lecture 1 - Course Handout YouTube
  2. Lecture 2 - Analysis of Mechanical System YouTube
  3. Lecture 3 - Conditions of equilibrium in 2D and 3D YouTube
  4. Lecture 4 - FBD with examples on modelling of typical supports and joints YouTube
  5. Lecture 5 - Support Conditions YouTube
  6. Lecture 6 - FBD of Frame Structures YouTube

Week 02: Analysis of Plane Truss and Introduction to Concept of Frictional Force

  1. Lecture 7 - Stability of Truss YouTube
  2. Lecture 8 - Solutions of Plane Truss YouTube
  3. Lecture 9 - Method of Sections YouTube
  4. Lecture 10 - Friction YouTube

Week 03: Introduction to Mechanics of Deformable Bodies

  1. Lecture 11 - Tutorial on Truss YouTube
  2. Lecture 12 - Tutorial on Friction YouTube
  3. Lecture 13 - Force Displacement Relationship YouTube
  4. Lecture 14 - Hoop Stresses YouTube
  5. Lecture 15 - Mechanism of belt around wheel YouTube

Week 04: Force Displacement Relationship and Introduction to Concept of Stress

  1. Lecture 16 - Tutorial on Force Displacement Relationship and Geometric Compatibility YouTube
  2. Lecture 17 -Tutorial on Force Displacement Relationship and Geometric Compatibility -2 YouTube
  3. Lecture 18 -Tutorial on Force Displacement Relationship and Geometric Compatibility -3 YouTube
  4. Lecture 19 - Concept of Stress YouTube
  5. Lecture 20 - Plane Stress YouTube

Week 05: Concept of Stress and Introduction to Concept of Strain

  1. Lecture 21 - State of Stresses YouTube
  2. Lecture 22 - Mohr's Circle representation of plane stress YouTube
  3. Lecture 23 - Construction of Mohr's Circle YouTube
  4. Lecture 24 - Principal Stresses and Introduction to Concept of Strain YouTube
  5. Lecture 25 - Normal Strain and Shear Strain YouTube

Week 06: Concept of Strain and Equations of Elasticity

  1. Lecture 26 - Strain Transformation YouTube
  2. Lecture 27 - Strain Measurement YouTube
  3. Lecture 28 - Tutorial on Plane Stress YouTube
  4. Lecture 29 - Tutorial on Concept of Strain YouTube
  5. Lecture 30 - Elastic Stress Strain Relationship YouTube

Week 07: Yield Criteria and Introduction to Forces and Moments Transmitted by Slender Members

  1. Lecture 31 - Von Mises Yield Criteria YouTube
  2. Lecture 32 - Tresca Criteria YouTube
  3. Lecture 33 - True Stress Strain YouTube
  4. Lecture 34 - Tutorial on Yield Criteria and Thermal Stress-Strain YouTube
  5. Lecture 35 - Forces and Moments Transmitted by Slender Members YouTube

Week 08: Forces and Moments Transmitted by Slender Members

  1. Lecture 36 - Bending Moment YouTube
  2. Lecture 37 - Shear Force and Bending Moment Diagrams YouTube
  3. Lecture 38 - Differential Equation Relationship YouTube
  4. Lecture 39 - Tutorial on Shear Force and Bending Moment Diagrams (Part - 1) YouTube
  5. Lecture 40 - Tutorial on Shear Force and Bending Moment Diagrams (Part - 2) YouTube

Week 09: Introduction to Torsion

  1. Lecture 41 - Torsion YouTube
  2. Lecture 42 - Stress Components YouTube
  3. Lecture 43 - Tutorial on Torsion (Part - 1) YouTube
  4. Lecture 44 - Tutorial on Torsion (Part - 2) YouTube
  5. Lecture 45 - Stresses due to Bending YouTube

Week 10: Stresses due to Bending

  1. Lecture 46 - Equilibrium Requirements YouTube
  2. Lecture 47 - Beam Transmitting both Shear Force and Bending Moment YouTube
  3. Lecture 48 - Shear Stress Distribution YouTube
  4. Lecture 49 - Distribution of Shear Stress in I Beam YouTube
  5. Lecture 50 - Tutorial on Stresses due to Bending YouTube

Week 11: Deflections due to Bending

  1. Lecture 51 - Deflections due to Bending YouTube
  2. Lecture 52 - Integration of Moment Curvature Relation YouTube
  3. Lecture 53 - Superposition Continued YouTube
  4. Lecture 54 - Load Deflection Differential Equation YouTube
  5. Lecture 55 - Castigliano’s Theorem YouTube

Week 12: Introduction to Column Buckling

  1. Lecture 56 - Strain Energy Methods YouTube
  2. Lecture 57 - Introduction to Concept of Elastic Instability YouTube
  3. Lecture 58 - Critical Load YouTube
  4. Lecture 59 - Critical Load for Flexible Columns YouTube
  5. Lecture 60 - Concluding Lecture YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Civil Engineering
Teacher
Prof. Priyanka Ghosh
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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