The paper aims to analyze the elasticity-plasticity of a flat steel frame structure with a beam-column connection that is a semi-rigid connection; three-spring semi-rigid link models (two linear displacement springs and one rotating displacement spring); It includes hard areas at the beam-column position, with an ideal flexible-plastic material model. Based on that, it developed algorithms by PTHH method using step-by-step applying load method and programmed to determine displacement-internal force when make semi-rigid nonlinear connection in MATLAB programming language; consider the melting conditions of the section, including the influence of moments, vertical force and shear force. Make a numerical illustration with a two stage-one span steel frame.
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