## Abstract

In this paper, a finite element method is developed to numerically evaluate the shear coefficient of Timoshenko's beam with multiply connected cross section. With focus on analyzing shear stresses distributed at the neutral axis of the beam, an improved definition of the shear coefficient is presented. Based on this definition, a Galerkin-type finite element formulation is proposed to analyze the shear stresses and shear deflections. Numerical solutions of the examples for some typical cross-sections are compared with the theoretical results. The shear coefficient of tower sections of the Tsing Ma Bridge is calculated by use of the proposed approach, so that the finite element modeling of the bridge can be developed with the accurate values of the sectional properties.

Original language | English |
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Pages (from-to) | 48-57 |

Number of pages | 10 |

Journal | Acta Mechanica Solida Sinica |

Volume | 14 |

Issue number | 1 |

Publication status | Published - 1 Dec 2001 |

## Keywords

- Elasticity theory
- Engineering structures
- Finite element method
- Multiply connected cross section
- Shear coefficient
- Timoshenko's beam

## ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering