Calculate the shape factor for the $$T$$-section shown in the following figure made up of two plates $$100\,\,mm \times 10\,\,mm.$$ What will be the load factor if the permissible stress in bending is only $$2/3$$ of the yield stress $$\left( {{\sigma _y}} \right)$$

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.