The two$-$span continuous beam shown below is supported on three springs having the

same constant $($k $=1000$ kN$/$m$).$ Show all DOFs on a continuous beam sketch and state

the beam boundary conditions. Construct the structure stiffness relationship $\{$F$\}=$

$[$K$].\{$d$\}$ for the beam. Also, determine all beam nodal displacements, reaction and member forces. Please provide the SFD and BMD$.$ Consider E $=210$

GPa and I $=4$ x $10-4$ m$4.$

NOTE: You Must make use of the beam symmetry.