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Analysis by Slope Deflection Method - Example

The slope dev...

Question

The slope developed at joint $^{'} B^{'}$ of continuous beam ABC as shown in figure (in radian) is_____

$E I = 3750 k N - m^{2}$

A

0.0064

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B

0.0096

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C

zero

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D

0.0192

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Solution

The correct option is B 0.0096

Slope deflection equation

$M_{B A} = - 36 + \frac{2 \times 3750}{4} (2 θ_{B}) = 0$

$\Rightarrow θ_{B} = 9.6 \times 10^{- 3} r a d$

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