Exact Solution of Spatial Warping Curved Beams in Natural Coordinates

ZHU Li-li; ZHAO Ying-hua

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ZHU Li-li, ZHAO Ying-hua. Exact Solution of Spatial Warping Curved Beams in Natural Coordinates[J]. Applied Mathematics and Mechanics, 2008, 29(7): 846-854.

Citation:

ZHU Li-li, ZHAO Ying-hua. Exact Solution of Spatial Warping Curved Beams in Natural Coordinates[J]. Applied Mathematics and Mechanics, 2008, 29(7): 846-854.

Citation:

ZHU Li-li, ZHAO Ying-hua. Exact Solution of Spatial Warping Curved Beams in Natural Coordinates[J]. Applied Mathematics and Mechanics, 2008, 29(7): 846-854.

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Exact Solution of Spatial Warping Curved Beams in Natural Coordinates

ZHU Li-li^1,2,
ZHAO Ying-hua¹

1.
Institute of Road and Bridge Engineering, Dalian Maritime University, Dalian 116026, P. R. China;

Received Date: 2008-01-14
Rev Recd Date: 2008-04-28
Publish Date: 2008-07-15

Abstract

Abstract

The purpose is to present an exact analytical solution of the spatial curved beam under multiple loads based on the existed theory.The transverse shear deformation and torsion-related warping effects are taken into account.By sing this solution,a plane curved beam subjected to uniform vertical loads and torsions was analyzed.The accuracy and the efficiency of present theory were demonstrated by comparing its numerical results with Heins.solution.Besides,the effects of the transverse shear deformation and torsion-related warping on the deformations of the beam were discussed.
- curved beam,
- multiple load,
- warping,
- natural coordinate,
- analytical solution

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References(13)

References

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