Below, there is a rigid frame with an internal hinge at the middle of the horizontal beam.

a$.$ Calculate the end reactions and draw the shear and moment diagram for the given rigid frame.

b$.$ Design the beam and the two columns, using steel ST$37,$ which has a yield stress of $360$MPa.

Consider factor of safety as $1\mathrm{.}4$ for the allowable stress for both beam and the columns.

Select your sections according to European steel sections.

Neglect the self$-$weight of the structure.

Do not consider the deflection limit $($for the beam$)$ and the slenderness limit $($for the columns$)$