Problem $1$

Elaborate Problem $(20$ points$)$: You are part of an engineering team tasked with analyzing the structural integrity of the frame presented below. Your specific task is to determine the support $($A$,$ D$)$ and pin$-$joint $($B$)$ reactions for the frame. A diverse team of engineers will possibly read your solution, so we need an extensive summary of the problem and the solution using the following guidelines:

Understanding $($short answers; $5$ points$)$:

$($a$)$ List down the direction and magnitude of all the external forces on the frame.

$($b$)$ Illustrate the given problem using a global free$-$body diagram with proper splits around pin$-$joint.

Numerical solution $($numerical calculation; $10$ points$)$:

$($a$)$ Determine the horizontal and vertical reactions at the two supports $($A$,$ D$)$ and the pin joint $($B$).$

Solution procedure $($short answers; $5$ points$)$:

$($a$)$ Outline, in plain English, a systematic solution procedure that you used in the previous step to determine the horizontal and vertical reactions at the two supports $(A,D$ and the pin joint $($B$).$ Please create bullet points for each step and explain all the notations and symbols you used. Please look at the 'Homework Guidelines' for an example.