Sna1:
Given your latest sketch of the cylinder (your 30NOV15, 16:58 post), why don’t you consider the following. At any given Z plane (latitude), and in (or very near to) the X plane, won’t the Y stress component be the hoop stress? At the same Z plane, and in (or very near to) the Y plane, the X stress component should be the hoop stress, and it should be essentially equal to the Y hoop stress you found previously. At any other location on the circle you have to do some adjusting and summing of the stress components (X & Y) to transform them to be pointing in a radial and circumferential direction. The Z stress component should be the same all the way around. The above, assumes of course, an infinitely long cylinder in the Z direction, without any anomalies which cause significant stress changes. You shot a major bull when you modeled this cylinder by not taking advantage of symmetry, by not placing the Z axis at the center of rotation of the cylinder, and by not using polar (or cylindrical) coordinates to model it. Remember, a computer program does not a thinking engineer make.