Abstract
The aim of this work is to derive analytical solutions for the remaining capacity of perforated tubular structures, which are subjected to combined loading of bending and tensile or compressive stresses. Effects of internal pressure and loads of thermal origin are not considered. Parametric study addresses the increase in the cross section ultimate bending capacity when considering strain hardening effects compared to the assumption of elastic-perfectly plastic material. The need for operation extension for longer periods than initially foreseen, the possibility of relocation and reuse of these structures, for example, has motivated studies related to the structural integrity of these members and their subcomponents. It is sought to present formulations that help the decision-making to repair or replace deteriorated elements identified in inspections, in view of the economic impact coming from offshore works and, mainly, from possible production losses.
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Abbreviations
- \(\alpha\) :
-
Half-angle corresponding to the cross section remaining area
- \(\beta\) :
-
Ratio between yield and ultimate strengths
- \(\varepsilon\) :
-
Strain
- \(\gamma\) :
-
Hardening coefficient
- \(\psi\) :
-
Half-angle corresponding to the area subjected to tensile stress
- \(\sigma _{\text{max}}\) :
-
Ultimate strength
- \(\sigma _{\text{y}}\) :
-
Yield strength
- A :
-
Pipe cross section area
- \(A_{\text{c}}\) :
-
Area subjected to compressive stress
- \(A_{\text{t}}\) :
-
Area subjected to tensile stress
- E :
-
Young’s modulus
- e :
-
Eccentricity
- \(F_{\text{c}}\) :
-
Compressive force
- \(F_{\text{t}}\) :
-
Tensile force
- \(F_{\text{y}}\) :
-
Yield force
- M :
-
Bending moment
- \(M_{\text{c}}\) :
-
Compressive moment
- \(M_{\text{P}}\) :
-
Fully plastic moment
- \(M_{\text{t}}\) :
-
Tensile moment
- R :
-
Pipe cross section radius
- t :
-
Pipe cross section thickness
- \(y_{\text{c}}\) :
-
Distance between centroid of compressive area and centroid of whole pipe cross section
- \(y_{\text{t}}\) :
-
Distance between centroid of tensile area and centroid of whole pipe cross section
- \(Z_{\text{P}}\) :
-
Plastic section modulus
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Acknowledgements
The authors would like to thank the Human Resources Program of the National Petroleum, Natural Gas and Biofuels Agency (ANP), in particular PRH-03, and the National Council for Scientific and Technological Development (CNPq) for their support in the development of this research and financial support. The funding was received by Petrobras.
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Knupp, A.B., Vaz, M.A. & Cyrino, J.C.R. Ultimate bending capacity of perforated pipe cross sections. Mar Syst Ocean Technol 14, 34–41 (2019). https://doi.org/10.1007/s40868-018-00052-x
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DOI: https://doi.org/10.1007/s40868-018-00052-x