To take into account the flexibility resulting from sectional deformations of a thin-walled box beam, higher-order beam theories considering warping and distortional degrees of freedom (DOF) in addition to the Timoshenko kinematic degrees have been developed. The objective of this study is to derive the exact matching condition consistent with a 5-DOF higher-order beam theory at a joint of thin-walled box beams under out-of-plane bending and torsion. Here we use bending deflection, bending/shear rotation, torsional rotation, warping, and distortion as the kinematic variables. Because the theory involves warping and distortion that do not produce any force/moment resultant, the joint matching condition cannot be obtained just by using the typical three equilibrium conditions. This difficulty poses considerable challenges because all elements of the transformation matrix relating the field variables of one beam to those in another beam should be determined. The main contributions of the investigation are to propose additional necessary conditions to determine the matrix and to derive it exactly. The validity of the derived joint matching transformation matrix is demonstrated by showing good agreement between the shell finite element results and those obtained by the present box beam analysis in various angle box beams.
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e-mail: soomin0603@snu.ac.kr
e-mail: gwjang@sejong.ac.kr
e-mail: yykim@snu.ac.kr
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September 2012
Research Papers
Exact Matching Condition at a Joint of Thin-Walled Box Beams Under Out-of-Plane Bending and Torsion
Soomin Choi,
Soomin Choi
Graduate Research Assistant
School of Mechanical and Aerospace Engineering,
e-mail: soomin0603@snu.ac.kr
Seoul National University
, Shinlim-Dong, San 56-1, Kwanak-Gu, Seoul 151-742, Korea
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Gang-Won Jang,
Gang-Won Jang
Associate Professor
Faculty of Mechanical and Aerospace Engineering,
e-mail: gwjang@sejong.ac.kr
Sejong University
, 98 Gunja-Dong, Gwangjin-Gu Seoul 143-747, Korea
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Yoon Young Kim
Yoon Young Kim
Professor
WCU Multiscale Mechanical Design Division, School of Mechanical and Aerospace Engineering,
e-mail: yykim@snu.ac.kr
Seoul National University
, Shinlim-Dong, San 56-1, Kwanak-Gu, Seoul 151-742, Korea
Search for other works by this author on:
Soomin Choi
Graduate Research Assistant
School of Mechanical and Aerospace Engineering,
Seoul National University
, Shinlim-Dong, San 56-1, Kwanak-Gu, Seoul 151-742, Korea
e-mail: soomin0603@snu.ac.kr
Gang-Won Jang
Associate Professor
Faculty of Mechanical and Aerospace Engineering,
Sejong University
, 98 Gunja-Dong, Gwangjin-Gu Seoul 143-747, Korea
e-mail: gwjang@sejong.ac.kr
Yoon Young Kim
Professor
WCU Multiscale Mechanical Design Division, School of Mechanical and Aerospace Engineering,
Seoul National University
, Shinlim-Dong, San 56-1, Kwanak-Gu, Seoul 151-742, Korea
e-mail: yykim@snu.ac.kr
J. Appl. Mech. Sep 2012, 79(5): 051018 (11 pages)
Published Online: June 29, 2012
Article history
Received:
August 30, 2011
Revised:
January 21, 2012
Posted:
March 15, 2012
Published:
June 28, 2012
Online:
June 29, 2012
Citation
Choi, S., Jang, G., and Young Kim, Y. (June 29, 2012). "Exact Matching Condition at a Joint of Thin-Walled Box Beams Under Out-of-Plane Bending and Torsion." ASME. J. Appl. Mech. September 2012; 79(5): 051018. https://doi.org/10.1115/1.4006383
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