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GATE Questions with solutions: Thin Cylinders Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
FAQs on GATE Questions with solutions: Thin Cylinders Video Lecture - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
| 1. What are thin cylinders? |  |
Ans. Thin cylinders are cylindrical structures with a small ratio of thickness to radius. They are often used in engineering applications and can be seen in various objects such as pipes, boilers, and pressure vessels.
| 2. How are thin cylinders different from thick cylinders? | |
Ans. Thin cylinders have a small ratio of thickness to radius, while thick cylinders have a large ratio of thickness to radius. This difference in proportion affects the stress and strain distribution within the cylinder, as well as the methods used to analyze their behavior.
| 3. What are the main stress components in a thin cylinder? | |
Ans. The main stress components in a thin cylinder are the circumferential stress (σθ), the longitudinal stress (σz), and the radial stress (σr). These stresses are caused by internal or external pressure acting on the cylinder.
| 4. How can the stress and strain in thin cylinders be calculated? | |
Ans. The stress and strain in thin cylinders can be calculated using various formulas and theories, such as the Lame's equation and the theory of elasticity. These calculations involve considering factors such as the applied pressure, cylinder dimensions, and material properties.
| 5. What are the common failure modes in thin cylinders? | |
Ans. The common failure modes in thin cylinders include buckling, plastic deformation, and rupture. These failures can occur due to excessive internal or external pressure, inadequate material strength, or improper design and construction.
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