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Structural Engineering and Mechanics Volume 59, Number 3, August10 2016 , pages 527-537 DOI: https://doi.org/10.12989/sem.2016.59.3.527 |
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Warping stresses of a rectangular single leaf flexure under torsion |
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Nghia Huu Nguyen, Ji-Soo Kim and Dong-Yeon Lee
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| Abstract | ||
| We describe a stress analysis of a single leaf flexure under torsion in which the warping effect is considered. The theoretical equations for the warping normal stress (oxx) and shear stresses (oxz and oxy) are derived by applying the warping function of a rectangular cross-sectional beam and the twist angle equation that includes the warping torsion. The results are compared with those of the non-warping case and are verified using finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and verified via FEA. The results show that the errors between the theory of warping stress results and the FEA results are lower than 4%. This indicates that the proposed theoretical stress analysis with warping is accurate in the torsion analysis of a single leaf flexure. | ||
| Key Words | ||
| torsion; warping; warping normal stress; leaf flexure; warping shear stress | ||
| Address | ||
| Nghia Huu Nguyen: Faculty of Mechanical Engineering, Nha Trang University, Khanh Hoa Province, Vietnam Ji-Soo Kim: Research Institute, OSG Korea, Daegu 704-946, Republic of Korea Dong-Yeon Lee: School of Mechanical Engineering, Yeungnam University, Gyeongsan 712-749, Republic of Korea | ||