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FAQs on Stress and Strain , Stress Tensor, Volumetric Strain or dilatation, SOM - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering

1. What is the difference between stress and strain?
Ans. Stress refers to the force applied to a material per unit area, while strain is the deformation experienced by the material due to the applied stress. In simpler terms, stress measures the external force acting on a material, and strain measures the material's response to that force.
2. How is the stress tensor calculated?
Ans. The stress tensor is a mathematical representation of stress in three-dimensional space. It is calculated by considering the forces acting on an infinitesimally small volume element within a material. The stress tensor comprises nine components, which represent the normal and shear stresses in different directions within the material.
3. What is volumetric strain or dilatation?
Ans. Volumetric strain, also known as dilatation, is a measure of the change in volume that occurs in a material when subjected to stress. It represents the relative change in volume and is calculated by dividing the change in volume by the original volume of the material.
4. How does stress affect the mechanical properties of materials?
Ans. Stress can significantly impact the mechanical properties of materials. When a material is subjected to excessive stress, it can lead to deformation, failure, or even fracture. Different materials have different stress-strain behaviors, and understanding how stress affects a material's mechanical properties is crucial in engineering and design applications.
5. What does the term "SOM" stand for in the context of the article?
Ans. In the given context, "SOM" stands for "Strength of Materials." Strength of Materials is a branch of engineering that deals with the behavior of solid objects subjected to various types of forces and stresses. It involves analyzing the stress and strain distribution in materials to determine their mechanical properties and design structures accordingly.
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