ELASTIC STRESSES FOR PIPE ELBOWS SUBJECTED TO IN-PLANE OPEN-BENDING MOMENTS
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摘要: 为了评估弯管开弯的工程安全性，建立力学模型推导了面内开弯矩作用下弯管的经向应力式，该式与面内闭弯矩作用下的经向应力式结构相似，但两者除了在同一部位存在拉应力与压应力性质相反的变化关系外，还有数值大小的区别。不同弯曲系数和圆周角处开弯经向应力均大于闭弯经向应力。而面内开闭弯矩作用下的环向应力式结构相同、大小相等、符号相反。等径弯管在面内弯矩作用下的弹性应力解析解只是异径弯管在面内弯矩作用下弹性应力解析解的一种特例，以异径弯管不同经向弯角处管截面的几何参数代入有关公式，即得该截面的应力。Abstract: In order to evaluate the engineering safety of pipe elbows, a mechanical model has set up to formulate the meridian stress of pipe elbows subjected to open-bending moments. The construction of the meridian-stress formula due to open-bending moments has the similar appearance with that due to close-bending moments. Except for the relation of tension stress and compress stress transforming each other on the same place, there are different values in meridian stress. The open-bending meridian stress is always larger than close-bending meridian stress for different bending moment coefficients and different angles on the cross section. But the formula-shape of open-bending circumferential stress looks identical with that of the close-bending one. Their stresses have equivalence and reverse relation. Under the action of an in-plane bending moment, elastic stress of pipe elbows just is a special case of the elastic stress of reducing elbows. The elastic stress of reducing elbows may be attained by replacing the cross-section radius of pipe elbows with that of the reducing elbows.
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Keywords:
- pipe elbows /
- elastic stress /
- stress analysis /
- reducing elbows /
- in-plane open bending moment
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