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- W2003048284 abstract "The second-order finite element formulations of linearly tapered beam-column elements are derived. Different tapering types such as width changing only, height changing only, width and height changing at the same rate and different rates for various section shapes are incorporated into the formulations. The stiffness matrices are formed using the shape functions considering various tapering types. The derived second-order stiffness matrices are the simple addition of the small-displacement stiffness matrices and a few other component matrices. The small-displacement stiffness matrices are derived into the closed form and other component matrices are formed by the Gauss numerical integration method. The standard finite element approach presented in this paper makes the beam-column elements compatible with other finite elements and can be easily incorporated into the existing finite element programs. The application of the developed tapered beam elements is illustrated with an example of a simply supported beam with axial restraints." @default.
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- W2003048284 date "1993-03-01" @default.
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- W2003048284 title "Second-order tapered beam-column elements" @default.
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- W2003048284 doi "https://doi.org/10.1016/0045-7949(93)90154-6" @default.
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