The slope deflection equation at end 2 of the member 1-2 for the frame shown in the figure is given by

M_{21} = \frac{2 E I}{L} (2 θ_{2} - \frac{3 δ}{L})

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M_{21} = \frac{2 E I}{L} (2 θ_{1} + 2 θ_{2} - \frac{3 δ}{L}) + W L

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M_{21} = \frac{2 E I}{L} (2 θ_{1} + 2 θ_{2}) - W L

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M_{21} = \frac{2 E I}{L} (2 θ_{1} - \frac{3 δ}{L})

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Solution

The correct option is A $M_{21} = \frac{2 E I}{L} (2 θ_{2} - \frac{3 δ}{L})$
$θ_{1} = 0. So M_{21} = \frac{2 E I}{L} (2 θ_{2} - \frac{3 δ}{L})$

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