The effective spans for a simple one-way slab system, with an overhang are indicated in the figure below. The specified ultimate design loads on the slab are $$6.0\,kN/{m^2}$$ and $$4.5\,kN/{m^2}$$ for dead loads and live loads respectively. Considering the possibility of live loads not occurring simultaneously on both spans, determine the maximum spacing (in $$mm$$ units) of $$8$$ $$mm$$ diameter bars required as bottom reinforcement in the span $$AB,$$ assuming an effective depth of $$125$$ $$mm.$$ Assume $$M20$$ concrete and $$Fe$$ $$415$$ steel.

Consider the following two statements related to reinforced concrete design, and identify whether they are TRUE/FALSE:

$${\rm I}.$$ Curtailment of bars in the flexural tension zone in beams reduces the shear strength at the cut-off locations
$${\rm II}.$$ When a rectangular column section is subject to biaxially eccentric compression, the neutral axis will be parallel to the resultant axis of bending.

Identify the FALSE statement from the following, pertaining to the design of concrete structures.

The relevant cross-sectional details of a compound beam comprising a symmetric $${\rm I}$$-section and a channel section (with welded connections), proposed for a steel gantry girder, are given below (all dimensions are in $$mm$$)

$$(a)$$ Determine the depth of the centroidal axis $$\overline y $$ and the second moment of area, $${{\rm I}_{xx}}$$ and $${{\rm I}_{yy\,\,eff}}$$ of the compound section. For computing $${{\rm I}_{yy\,\,eff}}$$ include the full contribution of the channel section, but only the top flange of the $${\rm I}$$-section.

$$(b)$$ Determine the maximum compressive stress that develops at a top corner location on account of a vertical bending moment of $$550.0$$ $$kN$$-$$m,$$ combined with a horizontal bending moment of $$15.0$$ $$kN$$-$$m.$$