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Question

Derive the flexibility matrix for the simple beam of span L and flexural rigidity EI shown in figure subjected to end moments M1 and M2


A
LEI⎢ ⎢13161613⎥ ⎥
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B
LEI⎢ ⎢13131316⎥ ⎥
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C
LEI⎢ ⎢16131316⎥ ⎥
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D
LEI⎢ ⎢13161613⎥ ⎥
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Solution

The correct option is A LEI⎢ ⎢13161613⎥ ⎥
Apply unit moment at 'A'


δ11=LEI

δ21=L6EI



δ21=L6EI

δ22=L3EI

δ=⎢ ⎢ ⎢13EI16EI16EI13EI⎥ ⎥ ⎥

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