ASSIGNMENT $1[100$ MARKS$]$

Due date: $1^{st}$ November $2024($Friday$)$

Submit in a technical report style; typing and no handwriting allowed. Further instructions about submission will be given later.

Figure $1$ depicts an assembly of $3$ bar elements made of different materials. Knowing that, $d1=4mm,d2=2\mathrm{.}5mm,$ and, $d3=2mm.$ The modulus of elasticity for both materials is $E_{\text{s}\text{t}\text{e}\text{e}\text{l}}=210$GPa and $E_{\text{a}\text{l}\text{u}\text{m}\text{i}\text{n}\text{u}\text{m}}=70$GPa. If the governing equation is given as in Eq$.1,$

$a-d-\frac{d}{dx}[EA\frac{du}{dx}]=0,0$

$Eq.1$

$a$