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A New Equilibrium Solution for Masonry Spiral Stairs by Maurizio Angelillo; Carlo Olivieri; Matthew J. DeJong is a Engineering article available to read on EtoBox.

What is A New Equilibrium Solution for Masonry Spiral Stairs about?

This paper considers stone or brick staircases that appear to cantilever from an exterior wall as they spiral upward. A new equilibrium solution is proposed that does not rely on cantilevering from the wall. Unlike previously proposed membrane solutions, the proposed new analytical solution, called Linear Arch Static Analysis (LASA), is based on a 1D no-tension filament, or a set of such 1D filaments (that -by following Rankine's definition-we call space linear arches), and is therefore particularly efficient. Each space linear arch represents a compressive element that spirals down the staircase, simulating a compressive force that is transferred through and between each stair. In addition, the equilibrium of each filament requires the contribution of horizontal uniaxial compressive forces which are provided by the exterior wall support and transmitted horizontally through each stair. The lines of action of such uniaxial compressive stresses are entirely contained inside the masonry. The new solution is applied to both circular and elliptical stairs to demonstrate the new equilibrium solutions, but also to quantify and highlight the magnitude of resulting forces and the efficiency

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Author

Maurizio Angelillo; Carlo Olivieri; Matthew J. DeJong

Publisher

Elsevier BV

Published

2021

Language

EN

Field

Engineering (Physical Sciences)