(Solved): A pressure vessel is made of a cylindrical shell and two different heads of i) a hemi- spherical upp ...

A pressure vessel is made of a cylindrical shell and two different heads of i) a hemi- spherical upper head and ii) a semi-elliptical lower head. In both cases, the ratio of major semi-axis to short semi-axis is 2. The average diameter of the shell is 0.420 m. The thickness of the shell and heads are 8mm. The internal pressure is 4MPa.

Find the magnitude and direction of axial and hoop stresses in the cylindrical shell. Develop the relations for axial and hoop stress of the hemi-spherical upper head and the semi-elliptical head lower head. Use your developed relations to determine the maximum stress in upper and lower heads. Identify the location (use figure) where the stress will be maximum.

solve it step by step with showing evere Variables and constants