General Problem Statement:

The compressed$-$air tank $AB$ has a $275-mm$ outside diameter and a $10-mm$ wall thickness. It is fitted with a collar by which a $60-kN$ foree $P$ is applied at $B$ in the horizontal direction. The gage pressure inside the tank is $6$ MPa $.$

$1)$At point $"$L$"$ determine the magnitude of the hoop stress, MPa$).$

$2)$At point $"$L$"$ determine the magnitude of the longitudinal stress, MPa$).$

$3)$At point $"$L$"$ determine the magnitude of the compressive normal stress due to bending ${}_b($MPa$).$

$4)$At point $"$L$"$ determine the magnitude of the normal stress in the $"$y$"$ direction, ${}_y($MPa$).$

$5)$At point $"$L$"$ determine the magnitude of the shearing stress, $T_{yz}($MPa$).$

$6)$At point $"$L$",$ determine the magnitude of the maximum principle stress, ${}_A,($MPa$).$

$7)$ At the point $"$L$"$ determine the magnitude of the principle stress, ${}_B,($MPa$).$

$8)$ At point $"$L$",$ determine the magnitude of the maximum shearing stress, $T_{\text{m}\text{a}\text{x}-ip}($MPa$).$