a$)$ Calculate and plot the bending moment and shearing force distributions for the cantilever shown in Figure $6.$

Figure $6$

b$)$ A universal $\backslash (254\backslash$times $254\backslash$times $167\backslash )$ column is $10$ m in length and has one end fixed and one end pinned. The member is required to support an axial load of $1500$ kN $.$ Is the column sufficient?

$($Please use the Table extracts, shown in your Workbooks, in your calculations, and refer to these by Table number, row, and column in your workings.$)$ Take the yield stress to be $265$ MPa $.$