Question

For the frame shown below, the value of stiffness coefficient $k_{22}$ is ________.

• A. $3.5EI$
• B. $2EI$
• C. $EI$
• D. $4.5EI$

Answer 1

The correct option is D $4.5EI$

$k_{22}=\text{Moment developed at}B\text{when unit rotation is applied at joint}B\text{keeping all other coordinates fixed.}$



$k_{22}=\frac{4EI}{4}+\frac{4E\left(2I\right)}{8}+\frac{4E\left(3I\right)}{4.8}=4.5EI$