What is a flexibility matrix and how do I use one?

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What is a flexibility matrix and how do I use one?

Thanks
 

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In the context of solid mechanics, the flexibility matrix couples a load vector to a displacement vector. See, for example, McGuire's Matrix Structural Analysis.
 
I have always heard it termed the stiffness matrix. Diffrent strokes...
 
Of course, one's the inverse of the other, a la compliance vs. modulus.
 

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