For loaded beam shown in figure $(3),$ Draw S$.$F$.$ and B$.$M$.$ diagrams for the beam in terms of $w,$ stating the main values. If the beam has a circular section of $75$ mm diameter and the permissible stresses are $290\frac{N}{m}{m}^2$ in bending and $10\frac{N}{m}{m}^2$ in shear, calculate the safe value of $($w$).$

Figure $(3)$