This paper presents the numerical application of a form-find two-pin arch shape with constant cross-section made of concrete. This investigation is carried out for arches with any span to height (L:h) ratio and any ratio of uniformly distributed load (UDL) to self-weight (SW) in which the geometry is a function of loading. The form-find arch shape is the one comprising only axial forces named momentless arch in this paper. The contribution of such a form-find arch is shown in a case study firstly through comparing its deflection with the most favourable arch shape under UDL:SW > 1 which known as parabolic form. Secondly, the fi rst failure of arch cross-section for form-find arch is evaluated against parabolic one subjected to the same permanent load. Results show the maximum vertical displacement of the form-find arch to be almost half of the maximum vertical displacement of its parabolic equal. To have the same maximum displacement, the thickness of the form-find arch could be reduced to half of its initial value leading to mass reduction. Furthermore, the former arch shows the first cross-sectional failure for 24% higher vertical displacement at the arch crown compared to parabolic arch.
Pournaghshband A, (2016). Form-fi nding of arch
structures. U . Warwick, UK: University of Warwick.
Curtin WG. Shaw G. Beck JK. Bray WA, (2006). Structural Masonry Designers’ Manual, 3rd. Massachusetts, USA: Blackwell Publishing Inc..
Otto F. Rasch B, (1995). Finding Form: Towards an Architecture of the Minimal, 3rd. Deutsche Werkbund Bayen: Axel Menges,.
Megson T H G, (2006). Structural and Stress Analysis, 2nd. Oxford, UK: Elsevier.
Millais M, (2005). Building Structures: From concepts to design, 2nd. Abingdon, UK: Spon Press.
Huerta S, (2006). Structural Design in the Work of Gaudi. Architectural Science Review, 45(4), 324- 339.
Tomlow J. Graefe R. Otto F. Szeemann H, (1989). Das Modell / The Model / El Modelo. Stuttgart, Germany: Institut für Leichte Flächentragwerke.
Killian A. Ochsendorf J, (2005). Particle-Spring Systems for Structural Form Finding. Journal of the International Association for Shell and Spatial Structures, 46(2), 77-84.