☆ 4.7 Article

Moment-less arches of constant axial stress: Implications for design

ENGINEERING STRUCTURES (2024)

Constant stress arches and their design space

Wanda J. Lewis

Summary: This study proposes constant axial stress as a design criterion for smooth, two-pin arches that are moment-less under permanent load. The research derives the equations for the center-line profile, horizontal reactions, and varying cross-section area of an asymmetric arch. It also provides a solution for structures of least weight and introduces the concept of a design space controlled by two non-dimensional input parameters.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2022)

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Article Engineering, Civil

Optimal arch shape of long-span open-spandrel arch bridges under vertical permanent loads

Guojing Zhang et al.

Summary: This paper presents a study on obtaining the optimal arch shape of long-span open-spandrel arch bridges. The proposed mathematical model accurately calculates the bending moments, stress ratios, eccentricities, and square sum of eccentricities in the optimal arch shape. The results demonstrate the advantages of the optimal arch shape and its wide range of applications in bridge engineering.

STRUCTURES (2022)

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Article Computer Science, Interdisciplinary Applications

Moment-less arches for reduced stress state. Comparisons with conventional arch forms

W. J. Lewis et al.

Summary: This paper studies the characteristics of moment-less two-pin arches of constant cross-section under prevalent load. Analytical form-finding was used to determine the arches' solutions and express reactions and axial forces. The accuracy of shape prediction for moment-less arches was found to be higher compared to elastic models.

COMPUTERS & STRUCTURES (2021)

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Article Engineering, Mechanical