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Solid Mechanics
The discussion focuses on the theories of failure in solid mechanics, emphasizing stress analysis in structures under applied loads. Key topics include the design of a lever and the stresses experienced in its cross-section, the concept of thermoelasticity, and the behavior of materials under loading, leading to plastic deformation or failure. Practical applications are highlighted to illustrate the complexity involved in real-world scenarios.
32 Chapters
28 weeks
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Course Chapters
Chapter 1
A vector and its representation
Chapter 2
Introduction
Chapter 3
Traction vector
Chapter 4
Stress matrix
Chapter 5
Linear Momentum Balance
Chapter 6
Angular Momentum Balance
Chapter 7
Definition
Chapter 8
Shear component of traction on an arbitrary plane
Chapter 9
Conditions for applying Mohr's Circle
Chapter 10
Mohr’s Circle Recap
Chapter 11
Introduction
Chapter 12
Longitudinal Strain (contd.)
Chapter 13
Local Volumetric Strain
Chapter 14
Similarity between Stress and Strain tensors
Chapter 15
Need for stress-strain relation
Chapter 16
Isotropic Materials
Chapter 17
Cylindrical Coordinate System
Chapter 18
Recap
Chapter 19
Strain Matrix in Cylindrical Coordinate System
Chapter 20
Introduction
Chapter 21
Recap
Chapter 22
Question 1
Chapter 23
Introduction
Chapter 24
Non-uniform Bending
Chapter 25
Introduction
Chapter 26
Definition
Chapter 27
Euler-Bernoulli Beam Theory
Chapter 28
Timoshenko Beam Theory
Chapter 29
Linearity and superposition
Chapter 30
Castigliano’s First Theorem
Chapter 31
Maximum principal stress theory
Chapter 32