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Lateral Bracing Stiffness Requirements for Systems of Parallel Compression Members
Practical models have been developed to determine the threshold stiffness for lateral bracing components used in systems of parallel compression members or sub‐assemblages. Model formulation is based on the analysis of n parallel compression members with intermediate tie‐bracing and flexible anchorages. Intermediate bracing options include both continuous lateral tie‐bracing with flexible shear connectors, and discrete tie‐braces (blocking) directly linking adjacent members without connectors. Anchor bracing cases include both rigid and flexible braces and connectors, and both equal and unequal stiffnesses. Analytical solutions for the threshold stiffness were derived using equilibrium, compatibility, and constitutive relationships for a system that modeled bracing with linear‐elastic springs. The resulting eigenvalue problem is solved with computational efficiency and speed that far exceeds that of a root‐finding solution scheme reliant on symbolic computations. Two approximate expressions for the ideal tie‐brace stiffness have also been developed. Comparisons with the exact solutions indicate satisfactory accuracy for both approximations, with mean percent errors of 1% ‐ 2% for realistic variable values. A design procedure using these approximations is also proposed.
Lateral Bracing Stiffness Requirements for Systems of Parallel Compression Members
Practical models have been developed to determine the threshold stiffness for lateral bracing components used in systems of parallel compression members or sub‐assemblages. Model formulation is based on the analysis of n parallel compression members with intermediate tie‐bracing and flexible anchorages. Intermediate bracing options include both continuous lateral tie‐bracing with flexible shear connectors, and discrete tie‐braces (blocking) directly linking adjacent members without connectors. Anchor bracing cases include both rigid and flexible braces and connectors, and both equal and unequal stiffnesses. Analytical solutions for the threshold stiffness were derived using equilibrium, compatibility, and constitutive relationships for a system that modeled bracing with linear‐elastic springs. The resulting eigenvalue problem is solved with computational efficiency and speed that far exceeds that of a root‐finding solution scheme reliant on symbolic computations. Two approximate expressions for the ideal tie‐brace stiffness have also been developed. Comparisons with the exact solutions indicate satisfactory accuracy for both approximations, with mean percent errors of 1% ‐ 2% for realistic variable values. A design procedure using these approximations is also proposed.
Lateral Bracing Stiffness Requirements for Systems of Parallel Compression Members
Ziemian, Constance (Autor:in) / Ziemian, Ronald (Autor:in)
ce/papers ; 5 ; 1052-1059
01.09.2022
8 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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