Technical Papers
Jan 12, 2019

Ovalization Restraint in Four-Point Bending Tests of Tubes

Publication: Journal of Engineering Mechanics
Volume 145, Issue 3

Abstract

Four-point bending tests have been a staple in many structural engineering experiments as a reliable way of assessing the bending resistance of circular hollow sections, tubes, and cylindrical shells, and they continue to be widely performed. However, relatively little attention appears to have been paid to quantifying the effects of different boundary conditions on the test outcome. In particular, the restraint or freedom given to the cross section at the ends of a specimen to ovalize can have a significant impact when the specimen is in an appropriate length range. Ovalization is an elastic geometrically nonlinear phenomenon that is known to reduce the elastic bending resistance by as much as half in long tubes or cylinders. This paper presents a short distillation of some recent advances in understanding the buckling of cylindrical shells under uniform bending, identifying the strong influence of cylinder length on cross-section ovalization. A sample set of three-dimensional load application arrangements used in existing four-point bending tests was simulated using finite elements, allowing an assessment of the differences caused by prebuckling ovalization and its effect on the tested bending resistance. The study is limited to elastic behavior to identify the effect of ovalization alone in reducing stiffness without material nonlinearity. The outcomes demonstrate that maintaining circularity at inner load application points by appropriate stiffening has a significant effect. With freedom to ovalize, a significant reduction in stiffness occurs, leading to much lower bending resistance at buckling than may be achievable in practical applications.

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Acknowledgments

The partial sponsorship of the China Scholarship Council is gratefully acknowledged.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 3March 2019

History

Received: Mar 31, 2018
Accepted: Aug 22, 2018
Published online: Jan 12, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 12, 2019

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Authors

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Qing Liu
Ph.D. Student in Structural Engineering, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou 310058, China; formerly, M.Sc. Student in Structural Engineering, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK.
Adam J. Sadowski [email protected]
Senior Lecturer in Structural Engineering, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK (corresponding author). Email: [email protected]
J. Michael Rotter, F.ASCE
Emeritus Professor of Civil Engineering, Institute for Infrastructure and Environment, Univ. of Edinburgh, Edinburgh EH9 3FB, UK; Visiting Professor, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK.

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