Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Applicability of the mα-tangent Method to Estimate Plastic Limit Loads of Elbows and Branch Junctions

선형탄성해석과 mα-tangent방법을 이용한 배관 한계하중 평가 적용성

  • Received : 2016.10.27
  • Accepted : 2017.02.14
  • Published : 2017.06.01
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Abstract

In this study, the limit loads calculated by the $m_{\alpha}-tangent$ method based on the linear finite element analysis are compared with the closed form solutions that are proposed by various authors. The objects of the analysis is to select the elbow and the branch pipe which are representative structure of piping system. The applicability of the $m_{\alpha}-tangent$ method are investigated by applying it to cases with various geometries. The internal pressure and the in-plane bending moment are considered and the $m_{\alpha}-tangent$ method is in good agreement with the existing solutions in case of elbows. However, the limit loads calculated by the $m_{\alpha}-tangent$ method for branch junctions do not agree well with the existing solutions and do not show any tendency. The reason is a biased result due to the stress concentration of the discontinuous parts.

본 연구에서는 선형탄성 유한요소해석 방법과 $m_{\alpha}-tangent$ 방법으로 한계하중을 계산하고 이를 기존의 연구들에 의해 제시된 한계하중 식들과 비교하였다. 해석의 대상은 배관계의 대표 형상인 곡관과분기관을 선정하였다. 곡관과 분기관의 형상 변수를 다양하게 바꿔가면서 $m_{\alpha}-tangent$ 방법의 적용가능성을 살펴보았다. 하중은 내압하중과 면내굽힘하중을 각각 고려하였으며 곡관의 경우에는 기존의 한계하중식과 $m_{\alpha}-tangent$방법이 비교적 잘 일치함을 확인하였다. 하지만 분기관의 경우 형상의 특수성으로 인해 뚜렷한 경향 없이 기존의 한계하중 식과 $m_{\alpha}-tangent$ 방법이 일치하지 않는 것을 확인할 수 있었다. 이는 $m_{\alpha}-tangent$ 방법이 불연속부의 응력집중현상에 의해 왜곡된 결과를 갖기 때문으로 보인다.

Keywords

References

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