Question $5$ A rectangular steel bar having a cross$-$section $2cm3cm$ is subjected to a

tensile force of $6000$ N $.$ If the axes are chosen as shown the figure, determine

the normal and shear stress on a plane whose normal has following direction

cosines:

a$.n_x=n_y=\frac{1}{\sqrt[\phantom{2}]{2}},n_z=0,$

b$.n_x=0,n_y=n_z=\frac{1}{\sqrt[\phantom{2}]{2}},$

c$.n_x=n_y=n_z=\frac{1}{\sqrt[\phantom{2}]{3}}.$

$($a$)$

$($b$)$

$($c$)$

Figure $5$: Figure for question $5.$