Question
Download Solution PDFTo generate the j th column of the flexibility matrix
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Stiffness Matrix Method
1. This method is also known as displacement method or equilibrium method.
2. It is suitable if static indeterminacy (Ds) > kinematic indeterminacy (Dk) for the structure.
Stiffness is defined as Force required to produce unit displacement, \(k = \frac{P}{{\rm{\Delta }}}\)
K12 → Force at 2 due to unit displacement at 1
Flexibility Matrix Method
1. This method is also known as force method or compatibility method.
2. It is suitable if kinematic indeterminacy (Dk) > static indeterminacy (Ds) for the structure.
Flexibility is defined as Displacement caused due to unit Force.
δ12 → Displacement at 2 due to Force at 1
∴ To generate a jth column of flexibility matrix a unit force is applied at coordinate j and the displacement are calculated at all coordinates.Last updated on Jun 4, 2025
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