A truss tie consisting of $$2$$ $$ISA$$ $$75 \times 75 \times 8\,\,mm$$ carries a pull of $$150$$ $$kN.$$ At ends the two angles are connected, one each on either side of a $$10$$ $$mm$$ thick gusset plate, by $$18$$ $$mm$$ diameter rivets arranged in one row. The allowable stresses in rivet are $${f_s} = 90.0\,\,N/m{m^2}$$ and $${f_{br}} = 250\,\,N/m{m^2}$$.

Minimum number of rivets required at each end is

Group-$${\rm I}$$ contains some elements in design of a simply supported plate girder and Group-$${\rm II}$$ gives some qualitative locations on the girder. Match the items of two lists as per good design practice and relevant codal provisions.

Group $${\rm I}$$
$$P.$$$$\,\,\,\,\,\,$$ flange splice
$$Q.$$$$\,\,\,\,\,\,$$ web splice
$$R.$$$$\,\,\,\,\,\,$$ bearing stiffeners
$$S.$$$$\,\,\,\,\,\,$$ horizontal stiffener

Group $${\rm II}$$
$$1.$$$$\,\,\,\,\,\,$$ at supports (minimum)
$$2.$$ $$\,\,\,\,\,\,$$ away from center of span
$$3.$$$$\,\,\,\,\,\,$$ away from support
$$4.$$$$\,\,\,\,\,\,$$ in the middle of span
$$5.$$$$\,\,\,\,\,\,$$ longitudinally some where in the compression flange

A $$''H''$$ Shaped frame of uniform flexural rigidity $$EI$$ is loaded as shown in the figure. The relative outward displacement between points $$K$$ and $$O$$ is

List - $${\rm I}$$ shows different loads acting on a beam and list - $${\rm II}$$ shows different bending moment distributions. Match the load with the corresponding bending moment diagram.