PSI - Issue 11

Cyrille Denis Tetougueni et al. / Procedia Structural Integrity 11 (2018) 452–459 Tetougueni et al./ Structural Integrity Procedia 00 (2018) 000 – 000

458

7

d)

c)

e)

Fig. 7. Parameter γ for different cases: (a) β = 180° , (b) β = 155° , (c) β = 125° , (d) β = 90° , (e) β = 45°

4. Conclusion There are a large stock of arch structures still existing around the world. Most of them are facing high loads or seismic loads that were not properly considered in the design. For this reason, it is important to focus our attention on this topic. The aim of this work was to study the effect of irregularities that could not be avoided on arch structures. In particular, arches with different height of abutments and discontinuous arch thickness have been considered. The results from Limit analysis show effectively that the geometric irregularities modify the internal stress states of the arch . In conclusion, it has been observed that the β S1 /β ratio has a great impact for arch es with discontinuous thickness while the significant parameter for arches with non-uniform abutment height is H L / H.

References

Cavalagli, N., Gusella, V., & Severini, L. (2016). Lateral loads carrying capacity and minimum thickness of circular and pointed masonry arches. International Journal of Mechanical Sciences, 115-116, 645-656. doi:10.1016/j.ijmecsci.2016.07.015 Clemente, P. (1998). Introduction to dynamics of stone arches. Earthquake Engineerinf and Structural Dynamics(27), 513-522. Da Porto , F., Zampieri, P., Modena, C., & Prota, A. (2016). Simplified seismic assessment of railway masonry arche bridges by limit analysis. Structure and Infrastructure Engineering(12), 567-591. doi:10.1080/15732479.2015.1031141 De Luca, A., Giordano, A., & Mele , E. (s.d.). A simplified procedure for assessing the seismic capacity of masonry arches. Engineering Structures(26), 13. doi:10.1016/j.engstruct.2004.07.003. Dimitri, R., & Tornabene, F. (2015). A parametric investigation of the seismic capacity for masonry arches and portals of different shapes.