Parametric survey of upper and lower bound limit in-plane bending moments for single mitred pipe bends of various geometries |
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| Affiliation: | 1. Department of Mechanical Engineering, The University of Manchester Institute of Science and Technology (UMIST), P.O. Box 88, Manchester M60 1QD, UK;2. Department of Mechanical Engineering, ITESM, Campus Estado Mexico, Atizpapan de Zaragoza, Estado De Mexico, CP 52926, Mexico;1. National Institute of Infectious Diseases and Vaccinology, National Health Research Institutes, No. 35, Keyan Road, Zhunan Town, Miaoli County 350, Taiwan;2. Institute of Molecular and Cellular Biology, National Tsing Hua University, No. 101, Section 2, Kuang Fu Road, Hsinchu 300, Taiwan;1. Department of Radiology, Thomas Jefferson University, Philadelphia, Pennsylvania, USA;2. Medical Imaging and Radiation Sciences, Thomas Jefferson University, Philadelphia, Pennsylvania, USA;3. Cardiology, Thomas Jefferson University, Philadelphia, Pennsylvania, USA;4. Clarius Mobile Health, Vancouver, British Columbia, Canada;1. Department of Trauma & Orthopaedic Surgery, Lewisham & Greenwich NHS Trust, University Hospital Lewisham, Lewisham High Street, London, SE13 6LH, United Kingdom;2. Department of Trauma & Orthopaedic Surgery, Lewisham & Greenwich NHS Trust, Queen Elizabeth Hospital, London, SE18 4QH, United Kingdom;1. Department of Nutrition, University of Nevada, Reno, NV, United States;2. Division of Nephrology and Hypertension, Harbor-UCLA Medical Center, Torrance, CA, United States;3. David Geffen School of Medicine at UCLA, Los Angeles, CA, United States;4. Lundquist Institute at Harbor-UCLA, Torrance, CA, United States |
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| Abstract: | The problem of limit analysis for a cylinder–cylinder intersection forming a single mitred pipe bend subject to in-plane bending has been investigated. Lower bound analysis with new equations of force and moment equilibrium together with a higher number of parameters resulted in more stability as compared to a previous analysis of the same problem [PhD Thesis, The University of Manchester, 1991]. Concurrently, abaqus finite element plastic collapse moments were obtained as upper bounds to the problem. Two sets of results were compared, showing good agreement with each other. It could be finally concluded that the true limit moments are bounded in between. |
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