On the exact equilibrium configuration of an elastic cable spanned, the potential of uniform self-weight and the strain energy in stretching are analytically estimated. Those quantities are related to the work done by the chord force into an energy conservation. By the differentiation of the energy relation with respect to the span elongation, the chord force is separated into two components reflecting the sag effect and the elastic elongation. In a numerical analysis, it is shown that a characteristic magnitude of the stretching exists between the slackened and the tightened states.
In the global buckling of a framed structure, members are examined for their own stabilities. It is shown that, besides the actual member forces exerted, there can be considered a critical axial force of each member determined by its displacement mode in the global buckling. The effective lengths of members are defined for those critical forces. The stability state of each member is qualified by the actual axial force acting on that effective length. The global buckling is explained as an assembly of those stability states of members.
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