Masonry Arches: Thrust Line and Strength

Overview

The thrust line method constitutes a foundational analytical framework for evaluating masonry arch and vault behavior under load conditions. The method's theoretical development integrates historical conceptualizations—specifically the line of resistance and line of pressure—with contemporary formulations that incorporate material-specific properties, particularly compressive strength limitations. This integration enables limit analysis approaches that bridge classical structural mechanics with modern material science considerations.

Methods and approach

The paper synthesizes historical contributions to thrust line theory with recent methodological advances. The analysis focuses on formulations that explicitly account for compressive strength as a material property constraint in arch and vault systems. The approach traces the conceptual evolution from classical line of resistance and line of pressure notions toward integrated frameworks suitable for contemporary limit analysis applications. The work examines how these theoretical developments translate into practical analytical tools for structural assessment.

Key Findings

The synthesis demonstrates that thrust line methodology has evolved from primarily geometric and equilibrium-based approaches to formulations that systematically incorporate material strength constraints. Historical developments established the geometric and force-based foundations through line of resistance and line of pressure concepts. Recent formulations extend these foundations by explicitly integrating compressive strength properties, thereby providing more realistic predictions of arch and vault capacity and failure modes. The evolution represents a progressive refinement toward comprehensive limit analysis capable of addressing both geometric and material constraints simultaneously.

Implications

The integration of compressive strength considerations into thrust line methodology enhances the predictive capability of limit analysis for masonry structures. This advancement enables more accurate assessment of structural capacity and failure mechanisms in arch and vault systems, moving beyond purely geometric and equilibrium considerations. The formulations become applicable to a broader range of masonry materials and construction conditions where strength limitations prove critical to structural behavior.

Scope and limitations

This summary is based on the study abstract and available metadata. It does not include a full analysis of the complete paper, supplementary materials, or underlying datasets unless explicitly stated. Findings should be interpreted in the context of the original publication.