Figure P$27$ shows a two$-$bar structure with relative dimensions as indicated.The two bars have same cross section A and same mechanical properties: yield strength S$,$ Young's modulus E and shear modulus G$.$ The horizontal bar is fixed at point $1$ and pin$-$jointed with the inclined bar at point $3.$ A force is exerted at the middle of the horizontal bar and there is a moment at point $3.($a$)$ Write down the type and number of elements needed to model the structure.$($b$)$ Write down all DOFs, disregarding the BCs$.($c$)$ Write down the size of the unreduced global stiffness matrix.$($d$)$ Write down the characteristic equation for each element.$($e$)$ Write down the unreduced global finite element equation.$($f$)$ Write down the BCs$.($g$)$ Write down the reduced global finite element equation.Figure P$27$