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FAQs on Poisson's ratio, SOM - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering

1. What is Poisson's ratio?
Ans. Poisson's ratio is a measure of the deformation behavior of a material under applied mechanical stress. It quantifies the ratio of the relative contraction or expansion of a material in the directions perpendicular to the applied force.
2. How is Poisson's ratio calculated?
Ans. Poisson's ratio can be calculated by taking the ratio of the lateral strain (change in width) to the longitudinal strain (change in length) when a material is subjected to an external force. It is expressed as the negative ratio of the transverse strain to the axial strain.
3. What are the typical values of Poisson's ratio for common materials?
Ans. Poisson's ratio varies for different materials. However, some typical values include: - Metals: 0.3 to 0.35 - Rubber and polymers: 0.4 to 0.5 - Concrete: 0.15 to 0.2
4. How does Poisson's ratio affect the behavior of materials?
Ans. Poisson's ratio determines how a material responds to mechanical stress. If a material has a high Poisson's ratio, it tends to contract in the transverse direction when stretched longitudinally. Conversely, materials with a low Poisson's ratio tend to expand laterally when subjected to axial tension. This behavior influences the material's stiffness, compressibility, and ability to withstand deformations.
5. What is the significance of Poisson's ratio in engineering and material selection?
Ans. Poisson's ratio is crucial in engineering and material selection as it affects the overall mechanical behavior and performance of materials. It helps engineers predict the deformation and stress distribution in structures under different loading conditions. Additionally, it plays a role in determining the compatibility of materials when joining different components or materials together. Understanding the Poisson's ratio of materials is essential for designing and optimizing structures to ensure their stability and durability.
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