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Article

Determination of Axial Force in Tie Rods of Historical Buildings Using the Model-Updating Technique

Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia
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Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(17), 6036; https://doi.org/10.3390/app10176036
Received: 7 August 2020 / Revised: 27 August 2020 / Accepted: 28 August 2020 / Published: 31 August 2020
Tie rods are structural elements that transfer axial tensile loads and are typically used on walls, vaults, arches, and buttresses in historical buildings. To verify their load-bearing capacity and identify possible structural damage risks, the forces transferred by tie rods and the corresponding stresses must be determined. However, this is often a challenging task due to the lack of project documentation for historical buildings. Uncertainties like complex boundary conditions or unknown material and geometrical properties make it hard to assess the tie rods’ load level. This paper presents a methodology for the determination of axial forces in tie rods that combines on-site experimental research and a numerical model-updating technique. Along with the common approach based on a determination of the natural frequency of tie rods, this paper presents an approach based on tie rods’ mode shapes. Special emphasis is placed on the boundary conditions coefficient, which is a crucial parameter in the analytical solution for axial forces determination based on the conducted on-site experiments. The method is applied in a historical building case study. View Full-Text
Keywords: tie rod; structural health monitoring (SHM); natural frequencies; mode shapes; root-mean-square error (RMSE) tie rod; structural health monitoring (SHM); natural frequencies; mode shapes; root-mean-square error (RMSE)
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MDPI and ACS Style

Duvnjak, I.; Ereiz, S.; Damjanović, D.; Bartolac, M. Determination of Axial Force in Tie Rods of Historical Buildings Using the Model-Updating Technique. Appl. Sci. 2020, 10, 6036. https://doi.org/10.3390/app10176036

AMA Style

Duvnjak I, Ereiz S, Damjanović D, Bartolac M. Determination of Axial Force in Tie Rods of Historical Buildings Using the Model-Updating Technique. Applied Sciences. 2020; 10(17):6036. https://doi.org/10.3390/app10176036

Chicago/Turabian Style

Duvnjak, Ivan, Suzana Ereiz, Domagoj Damjanović, and Marko Bartolac. 2020. "Determination of Axial Force in Tie Rods of Historical Buildings Using the Model-Updating Technique" Applied Sciences 10, no. 17: 6036. https://doi.org/10.3390/app10176036

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