1,721,096 research outputs found
ArchLab: a MATLAB tool for the Thrust Line Analysis of masonry arches
No full textAccording to Heyman’s safe theorem of the limit analysis of masonry structures, the safety of masonry arches can be verified by finding at least one line of thrust entirely laying within the masonry and in equilibrium with external loads. If such a solution does exist, two extreme configurations of the thrust line can be determined, respectively referred to as solutions of minimum and maximum thrust
Analytical integration of elasto-plastic uniaxial constitutive laws over arbitrary sections
No full textWe present the preliminary results of a novel approach to the state determination of polygonal sections of arbitrary shape endowed with elasto-plastic uniaxial constitutive laws.
By means of a suitable application of Gauss theorem, we prove that the normal stress resultants can be computed analytically as sum of finite quantities evaluated solely at the vertices of the section. For this reason, the proposed approach has been termed fiber-free to emphasize the fact that it does not require any subdivision of the section in fibers.
Numerical results show that the fiber approach is grossly inaccurate and that the number of fibers required to achieve a degree of accuracy comparable with that entailed by the fiber-free approach is at least one order of magnitude greater than the one commonly suggested in commercial software for nonlinear frame analysi
An improved flexibility-based nonlinear frame element endowed with the fiber-free formulation
No full textReformulation and extension of the thrust network analysis
No full textWe address the Thrust Network Analysis (TNA), i.e. the methodology for modeling masonry vaults as a discrete network of forces in equilibrium with gravitational loads, first contributed by O'Dwyer and fully developed by Block and coworkers. Reducing the bias by the quoted authors in favor of a graphical interpretation of the method, we reformulate the original version of the TNA by discarding the dual grid and focusing only on the primal grid, thus significantly enhancing the computational performances. The proposed reformulation of the TNA is also extended by including horizontal forces in the analysis as well as holes or free edges in the vault. Furthermore, the coefficient matrices entering the solution scheme are obtained by assembling the separate contribution of each branch, thus avoiding the ad hoc node numbering and branch orientation required by alternative implementations. Numerical examples, some of which referred to vaults having a particularly complex geometry, show the effectiveness and robustness of the proposed approach in assessing the safety conditions of existing masonry vaults or in designing new ones
Investigation on the properties of the numerical integration schemes for displacement-based nonlinear beam elements
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On the solution of a thermo-mechanical contact problem for isotropic elastic half-spaces
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