Mechanics of Deformable Solids | Concept of Stress and Strain by Pavan | Learn Smarter
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Concept of Stress and Strain

This chapter introduces the concepts of stress and strain in deformable solids, detailing how they respond to external loads. Key formulations such as Hooke's law define the relationship between stress and strain, while various types and sources of stress and strain are explored. Relationships between different elastic constants and graphical methods like Mohr's Circle provide critical tools for stress analysis in materials.

Sections

  • 1

    Concept Of Stress And Strain

    This section introduces the fundamental concepts of stress and strain in deformable solids under external forces.

    Learning Practice

  • 1.1

    Introduction To Deformation And Load Response

    Deformable solids respond to external forces through stress and strain, which are fundamental concepts that quantify these changes.

    Learning Practice

  • 1.2

    Hooke’s Law And Basic Concepts

    Hooke's Law states that stress is directly proportional to strain within the elastic limit of materials.

    Learning Practice

  • 1.3

    Deformation Of Bars Under Axial Loading

    This section addresses how deformable solids respond to axial loading leading to changes in length or shape, governed by the principles of stress and strain.

    Learning Practice

  • 1.4

    Types Of Stress

    This section covers the different types of stress experienced by materials when subjected to forces, including tensile, compressive, and shear stress.

    Learning Practice

  • 1.5

    Types Of Strain

    This section discusses the various types of strain experienced by materials, emphasizing linear, shear, and volumetric strain.

    Learning Practice

  • 1.6

    Elastic Constants And Their Relationships

    This section introduces elastic constants such as Young’s modulus, shear modulus, and Poisson’s ratio, along with their relationships.

    Learning Practice

  • 1.7

    Principal Stresses And Strains

    This section outlines the concepts of principal stresses and strains, crucial for understanding material behavior under load.

    Learning Practice

  • 1.8

    Principal Planes

    Principal planes are the planes on which normal stress acts, while shear stress is absent, playing a crucial role in material failure analysis.

    Learning Practice

  • 1.9

    Mohr’s Circle For Stress

    Mohr’s Circle is a visual representation used to determine principal stresses, maximum shear stress, and the orientation of principal planes in materials under stress.

    Learning Practice

References

Module I_ Concept of Stress and Strain.pdf

Class Notes

Memorization

What we have learnt

  • Deformable solids experienc...
  • Hooke's Law illustrates tha...
  • Understanding principal str...

Final Test

Revision Tests