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Title of Journal: Meccanica

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Abbravation: Meccanica

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Springer Netherlands

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1572-9648

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Limit analysis of masonry circular buttressed arch

Authors: Giuseppe Brandonisio Elena Mele Antonello De Luca
Publish Date: 2017/01/10
Volume: 52, Issue: 11-12, Pages: 2547-2565
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Abstract

Arches are among the most widely used and characterizing elements in masonry structures particularly in historical buildings and churches They are susceptible to severe damage due to seismic actions excessive vertical loads or support settlements While an exhaustive literature is available for the behaviour of arched structures under vertical loads and support settlements less attention has been devoted to their behaviour under horizontal seismic actions In this paper limit analysis approach to circular buttressed arches under horizontal loads is applied through a procedure developed by the authors based on nonlinear programming technique The suggested procedure is automatic and structural engineers can easily implement it in a computer algebra system to identify the failure mechanism and the position of the hinges that minimises the horizontal load multiplierThe expressions for the evaluation of weights horizontal and vertical components of displacements of the centroids of rigid bodies involved in the kinematical chains of Fig 7 are provided in the following subsections In particular with reference to the failure mechanisms II and III of Fig 6 these expressions can be used in Eq 1 for obtaining the horizontal collapse multipliers λ of the masonry buttressed arch

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