The Application of the Limit Analysis Theorem and the AdaptationTheorem for Determining the Failure Load of Continuous Beams

 

Bojan Milošević

Marina Mijalković

Žarko Petrović

Mirza Hadžimujović

 

By applying the limit theorem analysis of structures it is possible to determine the limit line load of the systems that are exposed to the load which increases proportionally to the formation failure mechanism. In the case when the linear systems are subjected to repeated load, the limit theorem does not provide an adequate solution, so alongside were developed theorems of adaptation that have enabled the determination of the safe limit loads. This paper presents a method for determining the load that leads to failure of continuous beams on two fields using the limit theorem and the theorem of adaptation and the limit of the breaking load change and breaking load incremental depending on the length of the field of the beam.

Key words: failure mechanic, failure mechanism, continuous beam, beam bending, bending moment, critical force, adaptation method.