SHEAR STRESS ANALYSIS OF TIMOSHENKO'S BEAM WITH MULTIPLY CONNECTED CROSS SECTION |
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| Authors: | Li Zhaoxia Ko Janming Ni Yiqing |
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| Institution: | (1) College of Civil Engineering, Southeast University, 210018 Nanjing, China;(2) Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong |
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| Abstract: | In this paper, a finite element method is developed to numerically evaluate the shear coefficient of Timoshenko's beam with
multiply connectd 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. |
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| Keywords: | Timoshenko's beam multiply connected cross section shear coefficient elasticity theory finite element method engineering structures |
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