Determination of the reliability coefficient by responsibility for the purpose of the architectural monuments structures calculating

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Abstract

Architectural monuments are buildings and structures built mainly a hundred or more years ago, when there were no modern norms for new construction objects. The non-compliance of cultural heritage objects with modern norms in many cases proves to be an obstacle to simultaneously preserving its structures authenticity and ensuring mechanical safety, provoking excessive modern intrusion into the structure historical substance. It is noted that monuments can be classified as a separate type of structures based on a number of characteristics, including structural similarity, the presence of accumulated sediments exceeding the limits regulated by modern norms, the operation duration exceeding the service life according to modern norms, construction in a “pre-regulatory” era based on experience passed down from generation to generation. For such a specific type of structure modern norms allow additional requirements to be considered for the purpose of normative and calculated load values, as well as reliability coefficients. Particular attention is paid to determining the reliability coefficient by responsibility, which is related to ensuring the structures mechanical safety depending on the number of visitors in them. It is shown that ensuring acceptable social risk (which is equivalent to ensuring the required reliability) can be achieved not only by strengthening structural elements but also by limiting the number of visitors to individual premises, which is reflected in the value of the reliability coefficient by responsibility. The dependence allowing to determine the value of this coefficient is proposed. This approach makes it possible to preserve the authenticity of the protected structural elements without compromising the architectural monument reliability.

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About the authors

N. A. Evseev

Institute “Georeconstruction”; St. Petersburg State University of Architecture and Civil Engineering

Author for correspondence.
Email: 3763380@gmail.com

Candidate of Sciences (Engineering)

Russian Federation, 4, Izmailovsky ave., Saint Petersburg, 190005; 4, 2nd Krasnoarmeyskaya Str., Saint Petersburg, 190005

V. A. Shashkin

Institute “Georeconstruction”; St. Petersburg State University of Architecture and Civil Engineering

Email: vashashkin@pi-georeconstruction.ru

Candidate of Sciences (Engineering)

Russian Federation, 4, Izmailovsky ave., Saint Petersburg, 190005; 4, 2nd Krasnoarmeyskaya Str., Saint Petersburg, 190005

A. G. Shashkin

Institute “Georeconstruction”; St. Petersburg State University of Architecture and Civil Engineering

Email: 9563513@gmail.com

Doctor of Sciences (Geology)

Russian Federation, 4, Izmailovsky ave., Saint Petersburg, 190005; 4, 2nd Krasnoarmeyskaya Str., Saint Petersburg, 190005

References

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  2. Shashkin A.G., Shashkin V.A. Is it possible to ensure the preservation of monuments based on standards for new construction? Geotechnica. 2021. Vol. 13. No. 2, pp. 20–31. (In Russian). EDN: TUKFZN. https://doi.org/10.25296/2221-5514-2021-13-2-20-30
  3. Tiunov O.V. Rakhmanov: the art of restoration. Saint. Petersburg: Georeconstructsia. 2022. 448 p.
  4. Shashkin V.A. Accumulated deformations of the historical buildings of St. Petersburg. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2023. No. 12, pp. 32–45. (In Russian). EDN: CITCIO. https://doi.org/10.31659/0044-4472-2023-12-32-45
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  6. Shashkin V.A., Shashkin A.G. Limited operational technical condition as the norm for architectural monuments. Geotechnica. 2024. Vol. 16. No. 1, pp. 6–22. (In Russian). EDN: ZYDYNN. https://doi.org/10.25296/2221-5514-2024-16-1-6-22
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  10. Plechkova I.L., Shashkin A.G., Shashkin K.G., Shashkin V.A., Evseev N.A. Ensuring the safety of the foundation of the structures of the Snetogorsky Monastery. Geotechnica. 2020. No. 2, pp. 52–66. (In Russian). EDN: HNOKEP. https://doi.org/10.25296/2221-5514-2020-12-2-52-66

Supplementary files

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2. Fig. 1. Probability density distribution curves for random variables: loads p(F) – red, strengths p(R) – green, reserve strength p(ψ) – orange; Fm and Rm – median load and strength; Fd and Rd – calculated load and calculated resistance; Fn, Rn – corresponding normative values; ψm=Rm–Fm – the strength reserve mathematical expectation; ψn=Rn–Fn – the strength reserve normative value; ψd=Rd–Fd – the strength reserve estimated value

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3. Fig. 2. Distribution curves of random variables: load P(F) – red, strength P(R) – green, reserve strength P(ψ) – orange; the designations explanation is given in the caption to Fig. 1

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4. Fig. 3. The probability of structural failure depending on the parameters r, CvF and CvR under normal laws of strength and load distribution

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5. Fig. 4. Criteria of acceptable social risk in various European countries [18]

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6. Fig. 5. Diagrams of the structural failure probability dependence on the parameters r, CvF and CvR for values N=1,2,5,10 (people): the points where the actual failure probability Q exceeds the marginal probability [Q] are highlighted in red, and the points where condition (5) is satisfied are green

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7. Fig. 6. Distributive curve of the strength reserve value probability p(ψ)

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8. Fig. 7. Diagrams of the γn structure dependence on the parameters rd, γf and γm/γc for values N=2–5 (people): orange circles circle the points where varying the values of γn can help eliminate the calculated reserve strength deficit

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9. Fig. 8. Illustration of the reliability coefficient by responsibility determination, which provides an acceptable social risk according to criterion (25) for the simplest building visitors

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