Limit Analysis of Structures

by Dusan Krajcinovic,

Serial Information: Journal of the Structural Division, 1969, Vol. 95, Issue 9, Pg. 1901-1909

Document Type: Journal Paper


The method proposed represents an analytical way of the superposition of mechanisms having three distinct advantages in comparison with the classical Symonds and Neale method. First, the equations of virtual work are set forth only for elementary mechanisms; secondly, superposition of mechanism is performed entirely analytically and thirdly, the procedure makes it sure that all possible collapse modes are considered. The objective function is defined as a nondimensional collapse load being a function of modal ratios. The actual collapse load, determined as the minimal value of the objective function, is obtained through a simple comparison of a finite number of its numerical values. Being analytical in nature the proposed method is suitable for the application of computers in case of large numbers of possible collapse modes. Two examples illustrate the exposed procedure.

Subject Headings: Failure loads | Limit analysis | Structural analysis | Comparative studies | Failure modes | Numerical methods | Computer analysis | Computer software

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