In a database table, the data about an individual student is stored in a single: table. field. row. column.

SAMPLE INPUT FILE

$-$ the coordinates of the nodes in order:

Programming Project

DESCRIPTION

Each individual student is responsible for writing an FEA code using any programming language. Your code

must be able to analyze any $2$D truss with any number of nodes, homogeneous essential boundary conditions in $x$

and $y$ directions, and nodal forces. The input of your code will be a text file or a spreadsheet containing all the

necessary information to fully define the problem $($an example input file is attached$).$ Your code will read the

input, assemble the global stiffness matrix, apply the boundary conditions, calculate the results $($nodal

displacement, reaction forces, and stresses$),$ and plot the original and deformed truss. You are not allowed to

intervene the solution process $($e$.$g$.,$ by entering or modifying a matrix$)$ at any point. The code must take the input,

process it$,$ and generate the results on its own.

You should write functions to fulfill each task and call these functions in a script called main. A sample main

script is provided below $($words in red are finctions you should write on your own$)$:

${?}^{TT}I=$ fopen$(\text{'}$C:$\backslash$Users $\backslash$Dropbox $\frac{\frac{?}{?}}{F}E\frac{M}{\frac{?}{?}}$ truss $\frac{\frac{?}{?}}{?}$ inputs.txt$\text{'})$;

$\%$sthis statement opens the input.txt file.

$[$n$.$nodes,m$,$el$.$A$,$Erho,displacement,forces$]=$ inputs$($I$)$;

$\%$this statement reads the data from input file and stores them as appropriate variables.

$[$GK$,$elements$]=$ assemblc$($podes$,$el$.$n$,$m$,$F$,$A$)$;

Sthis statement generates GK $($the Global $K$ matrix$)$ and clements $($a matrix containing

$\%$sthe coordinates of the first and the last node of cach element$)$

$[$loads$]=$ loading$($m$,1.$A$,$rho,n$,$el$,5,$ forces$)$;

Osthis statement calculates all the external forces

$[$fdisplacement$.$totEstress$]=$ solving$($displacement$,$GK$.$n$.$losds.m$,$slements.E$.,$el$)$;

$\%$this statement solves the problem and calculates the results including the

$\%$nodal displacement, reaction forces and stresses

$[$results$]=$ showing$($elements$,$n$,$ displacement,nodes,forces,m$,$fdisplacement,stress,totF$)$;

Sthis statement shows the drawings and the results"

PROBLEMS

Once you are sure your code works properly, select and

solve one problem on your own AND the following

problem $($use $E=70$GPa, and $A=0\mathrm{.}003125m^2$ for this

problem$).$ As mentioned above, your code must calculate

all the nodal displacements, reaction forces, and stresses. It

must also plot the original and deformed truss.

DELIVERABLES

Upload your report as a pdf file AND your codes as a compressed folder $($zip or far$).$ The report can have any

number of pages and will include an explanation of how your code works and the results of the two problems

mentioned above.

NOTE

There are many finite element codes available on the internet. While I recommend ignoring them and starting

from scratch, you are allowed to download them and learn from them. However, you must write each and every

line of your final code. I will randomly choose a few students to meet with me and answer my questions about

their code. I might also give them a new example problem and ask them to solve it in front of me$.$ I hope you

enjoy this programming experience and learn how a finite element code actually works$\mathrm{.}00$

$0\mathrm{.}50\mathrm{.}8660254$

$10$

$1\mathrm{.}50\mathrm{.}8660254$

$20$

$-$ the numbers of those nodes that an element is defined between them:

$12$

$23$

$13$

$24$

$34$

$35$

$45$

$-$ the areas of the elements in order:

$2$e$-4$

$2$e$-4$

$2$e$-4$

$2$e$-4$

$2$e$-4$

$2$e$-4$

$2$e$-4$

$-$ the Young$$s modules of the elements in order:

$200$e$9$

$200$e$9$

$200$e$9$

$200$e$9$

$200$e$9$

$200$e$9$

$200$e$9$

$-$ the displacement BCs of the nodes in order $($if not constrained write: $1)$:

$1$

$0$

$1$

$1$

$0$

$0$

$1$

$1$

$1$

$0$

$-$ the external forces of the nodes in order:

$0$

$0$

$0$

$-200$e$3$

$0$

$0$

$100$e$3$

$0$

$0$

$0$