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8. MECHANICAL PROPERTIES OF SOLIDS

The chapter delves into the mechanical properties of solids, focusing on the concepts of stress and strain, Hooke's law, and the various moduli of elasticity. It explores how materials respond to forces through deformation and the principles guiding their applications in engineering design. Additionally, critical concepts such as the stress-strain curve and the limits of elastic behavior are emphasized, providing a comprehensive understanding of how materials react under loading conditions.

Sections

  • 8

    Mechanical Properties Of Solids

    This section explores the mechanical properties of solids, focusing on concepts such as stress, strain, and the various moduli of elasticity.

  • 8.1

    Introduction

    This section introduces the mechanical properties of solids, emphasizing the concepts of elasticity, plasticity, and their relevance in engineering designs.

  • 8.2

    Stress And Strain

    This section discusses stress and strain in solids, describing how forces applied to bodies cause deformation.

  • 8.3

    Hooke's Law

    Hooke's Law states that for small deformations, stress is directly proportional to strain in elastic materials.

  • 8.4

    Stress-Strain Curve

    The stress-strain curve illustrates the relationship between stress and strain in materials, revealing insights into their elastic and plastic properties.

  • 8.5

    Elastic Moduli

    This section deals with elastic moduli, including Young’s modulus, shear modulus, and bulk modulus, which quantify the elasticity of materials under various forms of stress.

  • 8.5.1

    Young's Modulus

    Young's modulus measures the stiffness of a solid material and is an important parameter in engineering and physics.

  • 8.5.2

    Shear Modulus

    The shear modulus defines the relationship between shearing stress and shearing strain in materials.

  • 8.5.3

    Bulk Modulus

    The bulk modulus quantifies the relationship between pressure and volume change in materials, indicating how incompressible a material is under hydraulic stress.

  • 8.5.4

    Poisson's Ratio

    Poisson's ratio describes the relationship between lateral strain and longitudinal strain in a material under stress.

  • 8.5.5

    Elastic Potential Energy In A Stretched Wire

    This section discusses how work done on a wire under tensile stress is stored as elastic potential energy.

  • 8.6

    Applications Of Elastic Behaviour Of Materials

    This section explores the applications of elastic behavior in materials and their significance in engineering design.

  • 8.7

    Summary

    This section summarizes key concepts related to stress, strain, and elastic properties of materials, emphasizing their significance in engineering design.

  • 8.8

    Points To Ponder

    The 'Points to Ponder' section emphasizes key concepts related to stress, strain, and elastic properties of materials, focusing on misconceptions and misunderstandings.

  • 8.9

    Exercises

    This section presents a variety of exercises aimed at reinforcing the concepts of mechanical properties of solids covered in the chapter.

Class Notes

Memorization

What we have learnt

  • Stress is the restoring for...
  • Hooke's law states that str...
  • Three principal moduli of e...

Final Test

Revision Tests

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