Use method of joints to write symbolically the matrix system of equations you would use to solve for all the

unknown bar forces and reactions under any loading condition for the truss in Figure Part $($a$).$ Allow for point

loads to be placed at any joint as either a vertical load or a horizontal load $($so any inclined loads would be

expressed as components prior to using your equations$).$ Make sure and provide a list of the variables used to

represent the unknowns.

b$)$ Write a code $($using Python $3)$ that will use Method of Joints determine the unknown forces and Virtual Work

to determine the desired deflection at a joint location for any determinate truss $($not just a truss with the

configuration above$).$ Code requirements:

$$ Code must work for any determinate truss without having to change the body of the code. In other

words, if you need to loop through all the nodes in your truss, then the for loop must be generic

enough to determine the range based on the input.

$$ The input must all be specified in one location at the beginning of your code. You may prompt the

user for input information, you may place the input in a separate file that is read$-$in by your code, or

hard$-$code it into a common block at the beginning of the code $($just under any $$import$$ statements

for packages$/$modules$).[[$ Simplest in my opinion is to place it all in a common block, as prompting

user for input will get tiring while debugging your code $]]$

$$ You must fully comment your code throughout. The output of your code must also be formatted print

statements that clearly indicate what the output is and the appropriate units.

$$ You may use any IDE for this project: Spyder, PyCharm, Jupyter Notebook, or Google Colab.

$$ See information at the end for additional requirements and help.

c$)$ Demonstrate that your code works on the truss with the numerical values shown in Figure Part $($c$)$ by solving

for the unknown forces under the given load and finding the horizontal deflection at joint H$.$ You must solve

this system by hand as well as through the computer code to validate the output from your code. Take the

area of all bars to be $2$ in$2$ and E $=29000$ ksi.