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On the shear centre in Saint-Venant beam theory |
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| Affiliation: | 1. School of Civil Engineering and Transportation, South China University of Technology, 510640 Guangzhou, Guangdong, China;2. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong;3. City University of Hong Kong Shenzhen Research Institute, Shenzhen, P. R. China;1. Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Jr. Medrano Silva 165, Barranco, Lima, Perú;2. University of New Mexico, Department of Mechanical Engineering, Albuquerque, New Mexico, U.S.A. |
| Abstract: | The notion of shear centre in Saint-Venant beam theory was introduced by Robert Maillart who envisaged it to explain the results of experimental tests on beams with C-shaped sections. In literature, the location of the shear centre is provided in terms of flexure functions. The new result is a formula for the shear centre, based on the knowledge of the sole twist warping function of the cross-section. |
| Keywords: | Saint-Venant beam Shear centre Twist centre Twist warping Laplace–Neumann problem |
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