To solve this problem, use the method of minimum work, that is$,$ the Castigliano method, solve the following frame $($portico$)$; constant flexural rigidity $($EI$)$ for the beam is $40,000kN.m^2($the beam has a distributed load of $28k\frac{N}{m})$ and the constant flexural rigidity $($EI$)$ for the columns it is $60,000kN*m^2.$

Determine a$)$ degree of freedom and degree of hyperestaticity, b$)$ the stiffness matrix for each element; c$)$ the system stiffness matrix; d$)$ the nodal displacements; e$)$ shear force, moments and reactions $(x$ and $y)$; $f)$ the shear and moment diagrams $($graph the shear and bending moment diagram, that is$,$ draw the diagrams$).$