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THE ANALYSIS OF INTERNAL FORCE OF SEMI-RIGID STEEL FRAME

Jianfen Li

Open publisher page 5 citations

Abstract

A second-order nonlinear analysis is presented for the design of a semi-rigid steel frame, which includes the effects of the flexibility of the connections and the geometric nonlinearity of the members. The beam-column element stiffness matrix and the semi-rigid beam element stiffness matrix are given. The fixed-end moments equilibrium for the semi-rigid beam holds for concentrated, uniform, and linear loads on members. In the semi-rigid steel frame, the effective column-length factor must be considered. The connection flexibility has a significant effect on the drift in unbraced frames, it is shown that economical designs may be realized with semi-rigid connections by a variation of connection stiffness that balances the span and end moments in a beam.

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What this paper is about

A second-order nonlinear analysis is presented for the design of a semi-rigid steel frame, which includes the effects of the flexibility of the connections and the geometric nonlinearity of the members. The beam-column element stiffness matrix and the semi-rigid beam element stiffness matrix are given. The fixed-end moments equilibrium for the semi-rigid beam holds for concentrated, uniform, and linear loads on members. In the semi-rigid steel frame, the effective column-length factor must be considered. The connection flexibility has a significant effect on the drift in unbraced frames, it is shown that economical designs may be realized with semi-rigid connections by a variation of connection stiffness that balances the span and end moments in a beam.

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Available abstract

A second-order nonlinear analysis is presented for the design of a semi-rigid steel frame, which includes the effects of the flexibility of the connections and the geometric nonlinearity of the members. The beam-column element stiffness matrix and the semi-rigid beam element stiffness matrix are given. The fixed-end moments equilibrium for the semi-rigid beam holds for concentrated, uniform, and linear loads on members. In the semi-rigid steel frame, the effective column-length factor must be considered. The connection flexibility has a significant effect on the drift in unbraced frames, it is shown that economical designs may be realized with semi-rigid connections by a variation of connection stiffness that balances the span and end moments in a beam.

Key concepts: Flexibility method, Structural engineering, Stiffness, Stiffness matrix, Beam (structure), Flexibility (engineering), Direct stiffness method, Connection (principal bundle)

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