For a linear elastic structural element

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BPSC AE Paper V Civil 19 Dec 2024 Official Paper
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  1. Stiffness is directly proportional to the flexibility
  2. Stiffness may not be correlated with flexibility
  3. Stiffness is equal to flexibility
  4. Stiffness is inversely proportional to the flexibility

Answer (Detailed Solution Below)

Option 4 : Stiffness is inversely proportional to the flexibility
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Detailed Solution

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Explanation:

  • Stiffness (K) measures a structure’s resistance to deformation under load.

  • Flexibility (F) measures how much a structure deforms under a given load.

  • For a linear elastic element, these two are reciprocals of each other.

  • Therefore, if stiffness increases, flexibility decreases, and vice versa.

Additional Information

  • This inverse relationship is fundamental in structural analysis and design.

  • Stiffness depends on material properties (like Young’s modulus) and geometry.

  • Flexibility matrices and stiffness matrices are key concepts in methods like the Flexibility Method and Stiffness Method of structural analysis.

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