A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

The theoretical failure load of the beam for attainment of limit state of collapse in flexure is

A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

Ignoring the presence of tension reinforcement, the value of load $$P$$ in $$kN$$ when the first flexure crack will develop in the beam is

Maximum strains in an extreme fibre in concrete and in the tension reinforcement (Fe-$$415$$ grade and $${E_s} = 200\,\,kN/m{m^2}$$) in a balanced section at limit state of flexure are respectively

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