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In column analogy method, what is the area of an analogous column for a fixed beam of span 2L and flexural rigidity 2EI?

In column analogy method, what is the area of an analogous column for a fixed beam of span 2L and flexural rigidity 2EI? Correct Answer L/EI

Explanation:

  • The column analogous method is the force method used to analyze the indeterminate structure.
  • In the method of column analogous, the actual structure is considered under the action of applied loads and the redundant acting simultaneously.
  • The load on the top of the analogous column is usually the B.M.D. due to applied loads on simple spans and therefore the reaction to this applied load is the B.M.D. due to redundant on simple spans.
  • It is based on the analogy between moments at ends and pressure at the edges of the short column. If both ends of the beam are fixed then the end moments are called fixed end moments.

  • An analogous column will be a short column with cross-section dimensions 2L and 1/2EI

    .​

​As it is given that fixed beam of span 2L & flexural rigidity 2EI so cross-section becomes 2L & 1/2EI

so, area of analogous column = 2L/2EI =L/EI

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