Steel and Composite Structures

  • 제29권4호
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  • Pages.483-491
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  • 2018
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analytical determination of shear correction factor for Timoshenko beam model

  • Moghtaderi, Saeed H. (Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University) ;
  • Faghidian, S. Ali (Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University) ;
  • Shodja, Hossein M. (Department of Civil Engineering, Sharif University of Technology)
  • 투고 : 2018.04.27
  • 심사 : 2018.10.23
  • 발행 : 2018.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Timoshenko beam model is widely exploited in the literature to examine the mechanical behavior of stubby beam-like components. Timoshenko beam theory is well-known to require the shear correction factor in order to recognize the nonuniform shear distribution at a section. While a variety of shear correction factors are appeared in the literature so far, there is still no consensus on the most appropriate form of the shear correction factor. The Saint-Venant's flexure problem is first revisited in the frame work of the classical theory of elasticity and a highly accurate approximate closed-form solution is presented employing the extended Kantorovich method. The resulted approximate solution for the elasticity field is then employed to introduce two shear correction factors consistent with the Cowper's and energy approaches. The mathematical form of the proposed shear correction factors are then simplified and compared with the results available in the literature over an extended range of Poisson's and aspect ratios. The proposed shear correction factors do not exhibit implausible issue of negative values and do not result in numerical instabilities too. Based on the comprehensive discussion on the shear correction factors, a piecewise definition of shear correction factor is introduced for rectangular cross-sections having excellent agreement with the numerical results in the literature for both shallow and deep cross-sections.

키워드

참고문헌

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