The cross-section of a simply supported plate girder is shown in figure. The loading on the girder is symmetrical. The bearing stiffeners at supports are the sole means of providing restraint against torsion. Design the bearing stiffeners at supports, with minimum moment of inertia about the center line of web plate only as the sole design criterion. The flat sections available are: $$250 \times 25,\,\,250 \times 32,\,\,\,200 \times 28$$ and $$200 \times 32\,\,mm.$$ Draw a sketch

A cantilever beam is shown in the figure. The moment to be applied at free end for zero vertical deflection at the point is

The stiffness matrix of a beam element is given as $${{2EI} \over L}\left[ {\matrix{ 2 & { + 1} \cr { + 1} & 2 \cr } } \right].$$ Then the flexibility matrix is

The steel portal frame shown in figure is subjected to an imposed service load of $$15$$ $$kN$$. Compute the required plastic moment capacity of the members. All the members are of the same cross-section. Draw the collapse load.