Formulae to Predict Hoop Stresses along the Transverse XY Plane of a Small Radial Circular Cross Bore in Thick Cylinders

This study developed an analytical formula to determine elastic hoop stresses in a radial circular cross bore along the transverse XY plane in closed thick cylinders under internal pressure. The developed formula was validated using a three dimensional finite element analysis. The developed hoop stress equation was able to predict fairly accurate the magnitudes of hoop stresses along the cross bore transverse edge in 12 out of 21 models studied. Further, this formula was found to predict correctly the hoop stresses at the intersection of the main bore and the cross bore in 6 models.