horizontal loading due to earthquakes. New material-efficient arch shapes are obtained by considering

both horizontal and gravitational acceleration in the form finding process. By interpreting the

obtained forms, insights into the influence of form on the earthquake resistance of the arches are presented.

The form finding algorithm relies on two simplified, first-order equilibrium methods: thrust line

analysis and kinematic limit state analysis, which present respectively a lower- and upper-bound

approach to the analytic problem of arch stability under gravity and horizontal loading. Through a

methodological application of a series of geometric manipulations of the thrust line, shapes are obtained

that can resist the design acceleration by guaranteeing a compression-only load path. Forms are obtained

for horizontal accelerations of 0.15, 0.3 and 0.45g, as well as for arches of different rise-to-span ratios

(1/2, 1/4 and 1/8). The obtained shapes require up to 65% less material than circular arches with constant

thickness that are designed to withstand the same horizontal acceleration and self-weight, regardless of

acceleration magnitude. The findings of this research will thus allow more material-efficient design of

masonry arches in seismic areas. ]]>

L. Coar, M. Cox, S. Adriaenssens, L. de Laet, ‘The design and construction of bending active framed fabric formed ice shells utilizing principle stress patterns’, in *IASS 2017: Interfaces*, Hamburg, Germany, 2017.

S. Gabriele, S. Adriaenssens, V. Varano, G. Tomasello, ‘Modal funicularity of shell structures’ in *IASS 2017: Interfaces*, Hamburg, Germany, 2017 .

A. Niewiarowski, S. Adriaenssens,R.M. O. Pauletti, K. Addi ‘ Cable net systems under dynamic loading: an overview of appropriate numerical modeling techniques’ in *IASS 2017: Interfaces, *Hamburg, Germany, 2017.

T. Michiels, S. Adriaenssens, J.J. Jorquera-Lucerga ‘ Form Finding of Shells in Earthquake Zones’ in *IASS 2017: Interfaces, *Hamburg, Germany, 2017.

R.M. O. Pauletti, S. Adriaenssens, A. Niewiarowski, V. Charpentier, M. Coar, T. Huynh, X. Li’ A minimal Surface Membrane Sculpture’ in *IASS 2017: Interfaces, *Hamburg, Germany, 2017.

the mechanical principles of shape morphing plant tissues. ]]>