$$ Problem $1$

As shown in the picture below, a knot with holes joined has a tensile cleavage at the end. outside of the hall The diameter varies along the length, and the weight is adjusted along the length by $10$ mm$.$ do$.$ Find the displacement of the tip using $1$st$,2$nd$,$ and $3$rd degree polynomials. $($E$=70,000$MPa$)$

$1.($collocation method$)$

$2.($Galerkin method$)$

x$=0$

x$=1,000$mm