Three-dimensional finite element analyses were performed on closed-ended thick-walled cylinders with a radial cross bore under internal pressure. The aim of this study was to determine the behaviour of the hoop stress as well as to establish the optimal Stress Concentration Factors (SCF). Cylinders of thickness ratios of 3.0 down to 1.4 with cross bore size ratios (cross bore to main bore ratio) ranging from 0.1 to 1.0 were studied. The maximum hoop stress was found to increase with the increase in the cross bore size. Amongst the five different circular radial cross bore size ratios studied, the smallest cross bore size ratio of 0.1, gave the lowest hoop stress while the highest stress occurred with a cross bore size of 1.0. Moreover, the lowest SCF occurred in the smallest cross bore size ratio of 0.1 at a thickness ratio of 2.25 with a SCF magnitude of 2.836. This SCF magnitude indicated a reduction of pressure-carrying capacity of 64.7% in comparison to a similar plain cylinder without a cross bore.

中文翻译：

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横孔尺寸和壁厚对弹性加压厚圆筒的影响

在内部压力下，对带有径向过孔的封闭端厚壁圆筒进行了三维有限元分析。这项研究的目的是确定环向应力的行为以及建立最佳应力集中因子（SCF）。研究了厚度比为3.0到1.4的圆柱，其跨孔尺寸比（跨孔与主孔的比）在0.1到1.0之间。发现最大环向应力随着通孔尺寸的增加而增加。在所研究的五个不同的圆形径向交叉孔尺寸比中，最小的交叉孔尺寸比为0.1，产生的环向应力最低，而最大的应力发生在交叉孔尺寸为1.0时。此外，最低的SCF出现在最小的横孔尺寸比为0.1且厚度比为2的情况下。25，SCF值为2.836。与没有横孔的类似普通气缸相比，该SCF值表明承压能力降低了64.7％。