Calculation Model of Critical Preload of Prestressed Composite Deep Beam Based on the Method of Equivalent-beam-length

  • DONG Xiaochuan ,
  • JIN Miao ,
  • YAO Yang ,
  • ZHANG Jie
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  • 1.Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education, Yanshan University
    2.Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education

Online published: 2015-08-05

Abstract

To determine a reasonable critical preload and ensure the integration of prestressed composite deep beam, the method of equivalent-beam-length is proposed to revise the traditional theoretical results of airy stress function. Then a more accurate critical preload is obtained. Firstly, the theoretical calculation model of critical preload is established based on the plane strain theory. Secondly, based on the principle of superposition, the stress in the direction of x in the middle section of bending model and prestressed model are deduced and were presented in the way of Fourier series. The reasons for error are analyzed. Then, it is further revised with the method of equivalent-beam-length. Finally the theoretical formula of critical preload is derived combined with the critical criterion. Experimental results show that the minimum error between theoretical results of critical preload revised with the method of equivalent-beam-length and experimental results is 10.1%, while the maximum error is 13.5%. The theoretical results are in good agreement with the experimental results. It is able to provide theoretical basis for the design of prestressed composite beams in large mechanical equipments.

Cite this article

DONG Xiaochuan , JIN Miao , YAO Yang , ZHANG Jie . Calculation Model of Critical Preload of Prestressed Composite Deep Beam Based on the Method of Equivalent-beam-length[J]. Journal of Mechanical Engineering, 2015 , 51(15) : 46 -52 . DOI: 10.3901/JME.2015.15.046

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