| Summary: | 碩士 === 國立臺灣海洋大學 === 河海工程學系 === 94 === The purpose of this paper in extending the analytical method of the rectangular section of planar steel frames, behavior of applying to non-linear analysis of I-shaped wide flange steel frame structures.And it includes six parts:(1) To infer the relation of moment,axial force,curvature and axial strain of the rectangular section from the exact.(2) From the above point to establish the relation of the end of force of the simple beam-column element and the end of displacement:First, it is needed to acquire the curvature area of the fundamental unit-beam and the shape of centroid by the exact.Then,it can acquire the equation of the end of force of the simple beam-column element and the end of displacement by using the conjugate beam method.(3) Find out the tangent flexibility matrix:In addition to the tangent flexibility coefficient of the axial degrees of freedom is acquired by the axial strain to axial force from the partial,the rest of the tangent flexibility coefficient through exact,and depend on the simplificative way to indicate the end of force,the end of displacement,the end of curvature,or the end of axial strain.(4) Inverse the tangent flexibility matrix to get the tangent stiffness matrix,and to get the geometry stiffness of the element.(5) Using unit-beam, it simplify to explains behavior of plactic of the end of force reach plastic II.(6) To infer numerical analysis methods of non-linear：The acquired non-linear equation of the end of increment of force and the end of increment of displacement to establish the approximate linear relation of the end of increment of force and displacement,which is to predict the external shaft force.And it can acquire the behavior of geometry and material non-linear of planar steel frames from this part.
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