Authors have proposed an analytical method for H-shaped steel beam-column involving local buckling behavior. And we have studied methods to analyze the elastoplastic buckling behavior of truss members. In this paper, we will extend both methods for H-shaped steel truss member. Then, we will propose a consistent and convenient truss element for H-shaped steel member involving overall and local buckling behavior. This truss element is formulated based on thermodynamics. In formulating, the yield function and the evolution equation considering local buckling are confirmed by analytical results of discrete model. And the softening property caused by local buckling is given from study on plate buckling behavior. Finally we will examine the validity and usefulness of our method through some numerical examples.
