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| Series solution of temperature difference self-stress in wide-flange beams |
| Received:April 09, 2009 Revised:November 13, 2009 |
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| DOI：10.7511/jslx201101017 |
| KeyWord:wide-flange beam temperature difference self-stress series solution plane stress problem Airy stress function |
| Author | Institution |
| 张元海 |
兰州交通大学 土木工程学院,兰州 |
| 李乔 |
西南交通大学 土木工程学院,成都 |
| 蔺鹏臻 |
兰州交通大学 土木工程学院,兰州 |
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| Abstract: |
| In order to reveal fully the distribution of the temperature difference self-stress in wide-flange beams and improve the conventional beam-based analysis method, a refined analytical method is presented which is based on the mechanics of elasticity. The flange and web plates are considered to be in a state of plane stress under temperature difference. The condition of the deformation compatibility and equilibrium at the connection of the flange and web plates is used to establish additional equations by which the constants of integration in the Airy stress function are evaluated. The analytical expressions of the temperature difference stress and displacement in the flange and web plates are derived. Numerical results of a wide-flange T-shape beam show that, the longitudinal self-stress in the flange plate under temperature difference to web plate is distributed very non-uniformly along its width. Greater stress occurs near the fixed edge while much smaller stress at the free edge in the flange plate. This distribution characteristic of the temperature difference self-stress can’t be reflected by the conventional analytical method based on the beam theory. |