Graduate Thesis Or Dissertation
 

Stability of elastically restrained framed structures by matrix analysis

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  • It has been undertaken here to use the matrix method of structural analysis for the determination of the stability of elastically restrained, simple portal frames. This involves the formulation of the stiffness matrix of the structure in terms of the axial force in the members. The stability criterion, when applied to the stiffness matrix, yields the critical load that may be applied to the structure. The use of this method, when applied to an example frame, yielded results within 0.1 per cent of a classical approach for the limiting conditions of restraint. These conditions were: (1) no restraint, which produced the side-sway mode of failure and (2) sufficient restraint, which produced the non-sway mode of failure.
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