On the Carrying Capacity of Redundant Structures

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Abstract
It has been shown previously (1) how the inclusion of certain nonlinear terms in the analysis of redundant trusses affects the predicted behavior of such structures in the postbuckling range. In particular, it was demonstrated that the nonlinear theory predicts states of axial stress corresponding to a general stiffening of the structure compared with the results of the classical linear analysis. After establishing a generalized minimum-strain-energy principle, this paper describes a series of tests which corroborates experimentally the predictions of the nonlinear theory. For example, the predicted (and measured) ultimate load of the test model amounts to about three times the load at which the linear theory predicts collapse through instability. A similar theory (2) dealing with the response of redundant trusses to primary bending moments is extended to certain types of singular cases which were excluded from the previous paper. It is shown analytically and verified by experiment that a constant ultimate state of axial stress may be reached already for finite applied couples. Elastic behavior is assumed throughout the paper.

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