Abstract
Axially loaded members play an important role in such structures as trusses or braced frames. Clarification of the performance of these structures reqires the knowledge of the load-deformation characteristics of the members. Plastic action in axially loaded members ordinarily takes precedence over flexurally loaded members because of the predominance in stiffness of the former over the latter. An axially resistant member in such structures is often subjected to variable repeated loading; loads due to winds, earthquakes, cranes, transportation vehicles and some machine parts are applied repeatedly in nature, and they may act in different or opposite directions. The member may buckle under compression, deform plastically, but may partially recover in a subsequent tension. It may undergo plastic elongation and as a result get loosened, reducing the overall stiffness of the structure. This series of investigations is concerned with the analytic behaviour of a prismatic elastic-plastic bar of an effective length subjected primarily to repeated axial loading, tension and/or compression. In the present paper, Part 1, basic equations are derived in a closed form to be shown through examples of application in part 2 that these are adequate to determine the hysteretic behaviour for any given history of axial loading.
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