A cantilever bracket is bolted to a column using three $$M12 \times 1.75$$ bolts $$P, Q$$ and $$R.$$ The value of maximum shear stress developed in the bolt $$P$$ (in $$MPa$$) is _______________.

For ball bearings, the fatigue life $$L$$ measured in number of revolutions and the radial load $$F$$ are related by $$F{L^{1/3}} = K,$$ where $$K$$ is a constant. It withstands a radial load of $$2$$ $$kN$$ for a life of $$540$$ million revolutions. The load (in $$kN$$) for a life of one million revolutions is ___________.

In full mould (cavity-less) casting process, the Pattern is made of

The dimensions of a cylindrical side riser (height $$=$$ diameter) for a
$$25cm \times 15cm \times 5cm$$ steel casting are to be determined. For the tabulated shape factor values given below, the diameter of the riser (in $$cm$$) is _______________