Consider the truss assembly pictured in the figure below.

Using either Gaussian elimination or LU Decomposition $($you can use your solution from assignment$13$ and$/$or assignment$14,$ or the built in NumPy$/$SciPy implementations$)$ complete the function compute$\_$largest$\_$member$\_$force below to efficiently solve for the forces in all members of the truss. Using this information determine what the maximum load $($compressive or tensile$)$ is in any member for each loading configuration, the largest force $($in magnitude$)$ in any member, and which member contains the largest force.

The function compute$\_$largest$\_$member$\_$force should take a two$-$dimensional NumPy array as the input argument. Each row of the input array corresponds to one of the loading conditions

$.$ So the array should be a $3$ by $10$ for these particular loads.

The function should return a three$-$tuple that contains $($member$\_$id$\_$string, force$\_$id$\_$string, magnitude$\_$largest$\_$force$)$ where member$\_$id$\_$string is a string that labels the member that contains the largest force, so one of $\text{'}$AD$\text{'},\text{'}$AB$\text{'},\text{'}$BD$\text{'},\text{'}$CD$\text{'},$ or $\text{'}$BC$\text{'}.$ force$\_$id$\_$string is a string that labels the loading condition that gives rise to the maximum force so one of $\text{'}$F$1\text{'},\text{'}$F$2\text{'},\text{'}$F$3\text{'},\text{'}$F$4\text{'},\text{'}$F$5\text{'},\text{'}$F$6\text{'},\text{'}$F$7\text{'},\text{'}$F$8\text{'},\text{'}$F$9\text{'},$ or $\text{'}$F$10\text{'}.$ magnitude$\_$largest$\_$force is the magnitude of the largest force in any member. So an example of what the function should return is $(\text{'}$AB$\text{'},\text{'}$F$1\text{'},102\mathrm{.}5)$ in that order!

If you use your assignment$13$ or $14$ codes and import them after converting to Python, make sure you add those files to the repository when you commit them.

Hint: You must first solve for the reaction at the pins of the entire truss in equilibrium. These reaction forces along with the externally applied loads can then be used with the Method of Sections or the Method of Joints to write the equilibrium equations for each member of the truss.

Additional photos that provide the soluition format still need to be attached...