For the structure shown below, find the vertical displacement at joint $2,$ i$.$e$.d=$ Use moment release approach assuming MT$=1$ for both beams $1$ and $2.$ The stiffness of the rotational spring is $k($foce$/$length$),$ and that of the translation spring is $k($moment$/$angle$),$ too. $($Hint: One way to solve this problem, is to treat the moment caused by the rotational spring as an external moment, i$.$e$.M=k{}_s$ where ${}_s$ is the net rotation of the spring.$)[20$ Points$]$

Use the numbers assigned to the joints and members and also the positive direction of the x$-$axis $($local axis$).$