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Structural Engineering and Mechanics
  Volume 2, Number 2, June 1994, pages 185-196

Spline function solution for the ultimate strength of member structures
Qi-Lin Zhang and Zu-Yan Shen

    In this paper a spline function solution for the ultimate strength of steel members and member structures is derived based on total Lagrangian formulation. The displacements of members along longitudinal and transverse directions are interpolated by one-order B spline functions and three-order hybrid spline functions respectively. Equilibrium equations are established according to the principle of virtual work. All initial imperfections of members and effects of loading, unloading and reloading of material are taken into account. The influence of the instability of members on structural behavior analyze the elasto-plastic large deflection problems of planar steel member and member structures.
Key Words
    member structures; spline function solution; ultimate strength.
College of Structural Engineering, Tongji University, Shanghai, China

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