{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T09:15:40Z","timestamp":1769505340767,"version":"3.49.0"},"reference-count":57,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T00:00:00Z","timestamp":1711152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41831286"],"award-info":[{"award-number":["41831286"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>After the excavation and unloading of deep-buried soft rock tunnels, support structures often experience deformation-related disasters such as concrete cracking, steel frame bending and twisting, and primary support instability under different forms of load. Accurately calculating the load borne by the primary support structure is the key to ensuring design rationality and construction safety. Especially in layered soft surrounding rock formations, the magnitude and distribution of the loads are different from those of conventional rock and soil masses, resulting in limited applicability of existing load calculation methods to similar formations. Therefore, based on the measured deformation of the tunnel structure, while considering the different geometric forms of the primary support structure during partial excavation, this paper proposes a deformation-structure (D-S) load calculation method. By comparing the calculation results of this method and a large number of sample data for typical deep-buried layered soft rock tunnels, the reliability of the D-S load calculation method is verified. In addition, the variation law of the loads during the tunnel construction period is enunciated, and the magnitude and distribution of the loads acting on the primary support are clarified. The D-S load calculation method provides a theoretical basis for load calculation in deep-buried layered soft rock tunnels.<\/jats:p>","DOI":"10.3390\/sym16040383","type":"journal-article","created":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T12:47:11Z","timestamp":1711370831000},"page":"383","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Load Calculation Method for Deep-Buried Layered Soft Rock Tunnel Based on Back-Analysis of Structural Deformation"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-7440-0400","authenticated-orcid":false,"given":"Lixin","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Lijun","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Jianxun","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Yanbin","family":"Luo","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Huijie","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Yang","family":"Zhai","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]},{"given":"Pengkun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Highway, Chang\u2019an University, Xi\u2019an 710064, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,23]]},"reference":[{"key":"ref_1","unstructured":"Sun, J., and Hou, X.Y. 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