[ANSWERED] For the cylindrical vessel with ellipsoidal heads shown in Figure P9–22a under loading p = 500 psi,.

For the cylindrical vessel with ellipsoidal heads shown in
Figure P9–22a under loading p = 500 psi, determine if the vessel is safe
against yielding. Use the same material and factor of safety as in Problem
9.21. Now let a = 100 in. and b = 50 in. Which vessel has the lowest hoop
stress? Recommend the preferred head shape of the two based on your answers.
For modeling purposes, the equation of an ellipse is given
by b
2
x
2
+ a
2
y
2
= a
2
b
2
,
where a is the major axis and b is the minor axis of the ellipse shown in
Figure P9–22(b).