Limit Analysis: Collection of Examples of Applications
Tutor / director / evaluatorMolins i Borrell, Climent
Document typeMaster thesis
Rights accessOpen Access
Limit Analysis constitutes a simplified method for the assessment of masonry historical constructions. A series of examples of application of both static and kinematic limit analysis are presented with detailed explanations so as to be used by future SAHC students and others interested in understanding the principles and operation of these approaches. A state of art on the concepts underlying limit analysis is presented as well as a selection of real case studies of different typology of structures such as a single span arch bridge, a barrel vault over buttresses, a multi-span two level arch bridge (aqueduct), the last arch in a series of arches façade, and a tower. Each case is shown in a step-by-step scheme following the sequence of assumptions and procedures followed with the use of graphic statics. The examples include cases of structures subjected to dead loading, live loading and earthquake. For each case a specific objective was defined which included verifying an experimentally known solution for an arch bridge that was tested to failure, comparing two mechanisms in the kinematic approach and finding a safe condition for the most critical one in the case of a convent church, obtaining a thrust line for the exterior buttress of a four story building, evaluating the seismic behavior for the transversal section of an aqueduct, and applying the kinematic approach for designing the strengthening with tie rods of a façade in a tower.