For the frame shown below, the element $k_{22}$ for the co - ordinate system will be:

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2EI

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3EI

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4EI

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Solution

The correct option is C 3EI
For $k_{22}$ , giving unit rotation at 2, keeping 1 fixed as shown.

$k_{22} = 2 E I + E I = 3 E I$

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k_{22}

⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{1000}{3 E I} & \frac{2500}{3 E I} \frac{2500}{3 E I} & \frac{3000}{3 E I} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦

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