Researcher Upends Basic Construction Rule
Researcher upends basic construction rule. An Aston University researcher challenged a long-standing construction rule. For centuries, engineers have referred to a hanging chain as an analogy to explain the stability of masonry arches. According to Robert Hooke’s seventeenth-century theory, the shape of a hanging chain should mimic that of an upright rigid arch. Nevertheless, Aston University’s College of Engineering and Physical Sciences conducted research indicating that this belief is incorrect.
Dr. Haris Alexakis utilized the transition from Newtonian to Lagrangian mechanics to demonstrate, with mathematical rigor, that the hanging chain and the arch are two mechanically incompatible systems.
In his paper “Vector analysis and the stationary potential energy for assessing equilibrium of curved masonry structures,” he highlights that the two systems function within distinct spatial frameworks. Consequently, the equilibrium of the hanging chain relies solely on translational force, while the inverted arch requires both translational and rotational forces, leading to fundamentally different solutions.
Dr. Alexakis’s analysis brought to light subtle inconsistencies in the interpretation and application of Hooke’s analogy throughout history, particularly in the design and safety assessment of arches. By doing so, he emphasized the practical limitations of relying solely on this analogy.
Researcher upends basic construction rule: Curved structures
The analogy between inverted hanging chains and the optimal shape of masonry arches has been deeply ingrained in structural analysis practices. Curved structures, such as arches, have been instrumental in enabling masons, engineers, and architects to support heavy loads and span large areas using low-tensile strength materials, contributing to the world’s architectural heritage.
Despite its long-standing history, the quest for optimal curved structures and safety remains relevant. Today, interest grows in preserving history and adopting sustainable construction, reducing material use and carbon footprint with eco-friendly alternatives.
Dr. Alexakis’s paper proposes a novel structural analysis approach published in Mathematics and Mechanics of Solids. This new method offers several advantages, including increased speed, greater flexibility, and the ability to handle more complex geometries. With this approach, analysts achieve rigorous solutions without considering individual block equilibrium or describing thrust force load paths geometrically.
The implications of this research are significant. It introduces new opportunities to assess the safety of heritage structures and construct sustainable curved designs like vaults and shells. These structures offer appealing aesthetics and support net-zero construction and sustainability.
Read the original article on sciencedaily.com
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