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The number of unknowns to be determined in the stiffness method is equal to
  • a)
    the static indeterminacy
  • b)
    the kinematic indeterminacy
  • c)
    the sum of kinematic indeterminacy andstatic indeterminacy
  • d)
    two times the number of supports
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of unknowns to be determined in the stiffness method is equ...
Explanation:

Kinematic Indeterminacy:
- Kinematic indeterminacy refers to the number of independent displacements required to describe the deformation of a structure.
- It is determined by counting the number of unrestrained degrees of freedom in the structure.
- Kinematic indeterminacy is denoted by 'd'.

Static Indeterminacy:
- Static indeterminacy refers to the number of redundant forces or moments that cannot be determined by equilibrium equations alone.
- It is determined by counting the number of redundant supports or constraints in the structure.
- Static indeterminacy is denoted by 'r'.

Number of Unknowns:
- In the stiffness method, the number of unknowns to be determined is equal to the sum of kinematic indeterminacy and static indeterminacy.
- Number of unknowns = d + r
Therefore, the correct answer is option 'b' - the kinematic indeterminacy. This is because the number of unknowns to be determined in the stiffness method is determined by both the kinematic indeterminacy (d) and the static indeterminacy (r), and the sum of these two values gives the total number of unknowns in the analysis.
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The number of unknowns to be determined in the stiffness method is equal toa)the static indeterminacyb)the kinematic indeterminacyc)the sum of kinematic indeterminacy andstatic indeterminacyd)two times the number of supportsCorrect answer is option 'B'. Can you explain this answer?
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