A wall bracket supports a plummer block for an $80$ mm diameter shaft. The length of bearing is $120$ mm$.$ The cap of bearing is fastened by means of four bolts, two on each side of the shaft. The cap is to withstand a load of $16\mathrm{.}5$ kN$.$ The distance between the centre lines of the bolts is $150$ mm$.$ Determine the thickness of the bearing cap. Assume safe stresses in tension for the material of the cap, which is cast iron, as $15$ MPa and for bolts as $35$ MPa. Also check the deflection of the bearing cap taking E $=110$kN$/$mm$2$