Journal
THIN-WALLED STRUCTURES
Volume 137, Issue -, Pages 527-540Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2019.01.008
Keywords
Tapered beams; Thin-walled hollow sections; Analytical solution; Box girder; Conical beam
Categories
Funding
- Innovation Fund Denmark (IFD) [5189-00210B]
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Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.
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