A $18-$meter long beam$-$tank assembly supports the loading shown in addition to its weight, which is a uniform distributed load of $5\mathrm{.}5$ kN per meter. The beam has integrated into it a cylindrical tank, and the cross$-$section details for the beam$-$tank assembly are shown on the next page.

The tank has an outer diameter of $70$ mm and an inner diameter of $66$ mm $.$ The substance inside the tank has a gage pressure of $1234$ kPa $.$

The pin in the pin$-$connection is located $70$ mm up from the bottom of the beam.

Determine the internal forces $(V,N,$&$M)$ at the centroid of a section taken $7$ meters to the right of the left end of the beam $(4$ meters to the right of point $"A").$

Using the cross section shown on the next page, on section $d-d$ that is $7$ meters to the right of the left end of the bearm $(4$ meters to the right of point $"A"),$

$($a$)$ What is the hoop stress at point $"$ D $"?$

$($b$)$ The ends of the tank are closed; what is the longitudinal stress at point $"$D$"$

$($c$)$ Determine the stress state at point $"D^{\text{'}\text{'}}$ that is located on the outer edge of the tank $($shown below$).($sigma ${?}_x,$ sigma ${?}_y,$ tau ${?}_{xy})$

$($d$)$ Draw this stress state on a volume element.