Abstract
Corner effects significantly affect the deformation behavior of braced excavation, and the effect of temperature on the strut forces cannot be ignored in braced excavation. This paper studies the excavation deformation characteristics in soft soil and the temperature correction method of strut forces. The wall deformation characteristics and corner effects on the excavation deformations were studied. And the prediction model of plane strain ratio of braced excavation in soft soil was established. Further, the concept of temperature coefficient K was proposed to measure the temperature effect on the strut by the least square method. The prediction method of strut force considering different materials, depths, and types was proposed, and the correction formula excluding temperature effect was established. We found that corner effects existed in braced excavation at Dongle Road Station and the inflection point is mostly at the range of 1–6 m. The relationship between δhm normalized by H at Dongle Road Station is basically between δhm = 0.02%H and δhm = 0.3%H, and Hm falls between Hm = H − 5 and Hm = H + 5. The maximum temperature effect on strut forces of braced excavation at Dongle Road Station is 8.3%, which is less than 10–20% of the code value. The proposed temperature correction method can effectively eliminate the temperature effect on strut force. The results help to eliminate the stress generated by the diurnal temperature difference on the strut and provide a reference for the design of braced excavation.
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Abbreviations
- \(\delta_{p}\) :
-
Wall or soil displacement at the excavation corner (m)
- \(\delta_{m}\) :
-
Wall or soil displacement at the excavation middle (m)
- L :
-
Distance from the excavation edge (m)
- H :
-
Excavation depth (m)
- δ hm :
-
The maximum wall displacement (m)
- H m :
-
Depth of the maximum displacement (m)
- K :
-
Temperature coefficient (kN/℃)
- t i :
-
Measured ambient temperature (℃)
- P i :
-
Measured strut force (kN)
- n :
-
The number of monitoring
- \(\overline{t}\) :
-
Average temperature (℃)
- \(\overline{P}\) :
-
Average strut force (kN)
- \(\alpha\) :
-
Depth coefficient ((kN/℃)/m)
- \(n^{\prime }\) :
-
The number of struts
- h i :
-
Strut depth (m)
- \(\overline{h}\) :
-
Average strut depth (m)
- \(\overline{K}\) :
-
Average temperature coefficient (kN/℃)
- K x :
-
Unknown temperature coefficient (kN/℃)
- h x :
-
Unknown strut depth (m)
- h :
-
Known strut depth (m)
- P x :
-
Predicted strut forces (kN)
- P i :
-
Strut force at the i-th measurement (kN)
- P 0 :
-
Strut force at initial measurement (kN)
- t i :
-
Ambient temperature near the strut at the i-th measurement (℃)
- t 0 :
-
Ambient temperature at initial measurement (℃)
- \(\beta\) :
-
Correction coefficient of K
- P s :
-
Strut forces eliminating the temperature influence (kN)
- P c :
-
Measured strut force (kN)
- t c :
-
Measured ambient temperature (℃)
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Acknowledgements
The authors are grateful for the financial and technical support provided by the National Key R&D Program of China (Grant No. 2018YFC1505302) and the Colleges and Universities in Jiangsu Province Plans to Graduate Research and Innovation (Grant No. KYCX19-0098).
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Han, M., Li, Z., Mei, G. et al. Deformation Characteristics for Subway Excavation in Soft Soil and Temperature Correction Method in Strut Force. Arab J Sci Eng 48, 4357–4380 (2023). https://doi.org/10.1007/s13369-022-06965-5
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DOI: https://doi.org/10.1007/s13369-022-06965-5