COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Engineering Department Structures Research Seminars > The effect of stereotomy on the shape of the thrust line and the minimum thickness of masonry arches

## The effect of stereotomy on the shape of the thrust line and the minimum thickness of masonry archesAdd to your list(s) Download to your calendar using vCal - Professor Nicos Makris - University of Patras, Greece
- Friday 01 November 2013, 15:00-16:00
- Cambridge University Engineering Department, LR5.
If you have a question about this talk, please contact Lorna Everett. More than a century ago Milutin Milankovitch presented a remarkable formulation for the thrust-line of arches that do not sustain tension, and by taking radial cuts and a polar coordinate system he published for the first time the correct and complete solution for the theoretical minimum thickness, t, of a monolithic semicircular arch with radius R. In this seminar we show that Milankovitch’s solution, t/R=0.1075, is not unique and that it depends on the stereotomy exercised. The adoption of vertical cuts which are associated with a cartesian coordinate system yields a neighboring thrust-line and a different, slightly higher value for the minimum thickness (t/R=0.1095) than the value computed by Milankovitch. We show that this result can be been obtained with a geometric and a variational formulation. The Milankovitch minimum thrust-line derived with radial stereotomy and our minimum thrust-line derived with vertical stereotomy are two distinguishable, physically admissible thrust-lines which do not coincide with R. Hooke’s catenary that meets the extrados of the arch at the three extreme points. Furthermore, the seminar shows that the catenary (the “hanging chain”) is not a physically admissible minimum thrust-line of the semicircular arch although it is a neighboring line to the aforementioned physically admissible thrust-lines. The minimum thickness of a semicircular arch that is needed to accommodate the catenary curve is t/R=0.1117―a value that is even higher than the enhanced minimum thickness t/R=0.1095 computed in this work after adopting a vertical stereotomy; therefore, it works towards the safety of the arch. As in the case of gravity loads, the value of the minimum horizontal acceleration that is needed to convert an arch into a four-hinge mechanism depends on the direction of rupture at the imminent hinge locations. Vertical ruptures yield the minimum rupture acceleration. This talk is part of the Engineering Department Structures Research Seminars series. ## This talk is included in these lists:- All Talks (aka the CURE list)
- Cambridge University Engineering Department Talks
- Cambridge University Engineering Department, LR5
- Cambridge talks
- Centre for Smart Infrastructure & Construction
- Civil Engineering Talks
- Computational Continuum Mechanics Group Seminars
- Engineering Department Structures Research Seminars
- Featured lists
- Interested Talks
- School of Technology
- Trust & Technology Initiative - interesting events
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge Neurological Society CRASSH events DAMTP atmosphere-ocean Life Science Interface Seminars Arrol Adam Lecture Series Plant Sciences Departmental Seminars## Other talksAn SU(3) variant of instanton homology for webs A compositional approach to scalable statistical modelling and computation Short-Selling Restrictions and Returns: a Natural Experiment International Snowballing and the Multi-Sited Research of Diplomats Mesembs - Actual and Digital The Ambonese Rumphius and his inter-island information networks Graded linearisations for linear algebraic group actions The ‘Easy’ and ‘Hard’ Problems of Consciousness Statistical Methods in Pre- and Clinical Drug Development: Tumour Growth-Inhibition Model Example Black and British Migration Towards bulk extension of near-horizon geometries Glanville Lecture 2017/18: The Book of Exodus and the Invention of Religion |