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.
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What we have learnt
- Deformable solids experience changes in shape or size under external forces, characterized by stress and strain.
- Hooke's Law illustrates that stress is proportional to strain within elastic limits.
- Understanding principal stresses and planes is essential for material failure analysis.
Key Concepts
- -- Stress
- The internal force per unit area within materials that arises from externally applied forces.
- -- Strain
- The deformation per unit length experienced by a material when subjected to stress.
- -- Hooke's Law
- A principle stating that, within the elastic limit, the stress applied to a material is directly proportional to the strain it produces.
- -- Young's Modulus
- A measure of the stiffness of a solid material, defined as the ratio of stress to strain.
- -- Principal Stresses
- The maximum and minimum normal stresses acting on a material where shear stress is zero.
- -- Mohr's Circle
- A graphical representation used to determine the principal stresses, maximum shear stress, and the orientation of principal planes.
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