A double riveted butt joint, in which the pitch of the rivets in the outer rows is twice that in the inner rows, connects two $16$ mm thick plates with two cover plates each $12$ mm thick. The diameter of rivets is $22$ mm$.$ Determine the pitches of the rivets in the two rows if the working stresses are not to exceed the following limits: Tensile stress in plates $=100$ MPa; Shear stress in rivets $=75$ MPa; and bearing stress in rivets and plates $=150$ MPa. Make a fully dimensioned sketch of the joint by showing at least two views. $[$Ans$.107$ mm$,53\mathrm{.}5$ mm$]$