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GATE Questions with solutions: Euler's Theory of Column Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
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| 1. What is Euler's theory of column? |  |
Ans. Euler's theory of column is a mathematical theory that describes the behavior of slender columns subjected to axial loading. It provides a mathematical formula to determine the critical buckling load of a column, which is the load at which the column starts to buckle and fail under compression.
| 2. How does Euler's theory of column differ from other column theories? | |
Ans. Euler's theory of column differs from other column theories, such as Rankine-Gordon theory, by considering the effect of both bending and axial compression on the stability of the column. Euler's theory assumes that the column is perfectly straight, homogeneous, and has a constant cross-section along its length, which simplifies the analysis.
| 3. What is the significance of Euler's critical buckling load? | |
Ans. Euler's critical buckling load is significant because it represents the maximum load that a slender column can withstand before it buckles and fails under compression. By calculating the critical buckling load, engineers can determine the maximum safe load that can be applied to a column to prevent buckling and ensure structural stability.
| 4. How can Euler's theory of column be applied in engineering design? | |
Ans. Euler's theory of column can be applied in engineering design to determine the appropriate dimensions and materials for columns in various structures, such as buildings, bridges, and industrial equipment. By calculating the critical buckling load, engineers can ensure that the columns are designed to withstand the expected loads and prevent catastrophic failure.
| 5. Are there any limitations or assumptions in Euler's theory of column? | |
Ans. Yes, Euler's theory of column has certain limitations and assumptions. It assumes that the column is perfectly straight, homogeneous, and has a constant cross-section along its length. It also assumes that the column is subjected to pure axial compression without any lateral forces or moments. These assumptions may not hold true in practical applications, and therefore, engineers should consider additional factors and use more advanced theories for more accurate column design.
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Dec 22, 2024 Last updated |
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