Undrained seismic bearing capacity of strip footing adjacent to a heterogeneous excavation
Ramin VALI1(), Saeed KHOSRAVI2, Majid BEYGI3
1. Department of Civil Engineering, Technical and Vocational University, Tehran 1435761137, Iran 2. Department of Mining Engineering, Shahid Bahonar University of Kerman, Kerman 7616913439, Iran 3. Department of Civil Engineering, Yazd University, Yazd 8915818411, Iran
The analysis of the bearing capacity of strip footings sited near an excavation is critical in geotechnics. In this study, the effects of the geometrical features of the excavation and the soil strength properties on the seismic bearing capacity of a strip footing resting on an excavation were evaluated using the lower and upper bounds of the finite element limit analysis method. The effects of the setback distance ratio (L/B), excavation height ratio (H/B), soil strength heterogeneity (kB/cu), and horizontal earthquake coefficient (kh) were analyzed. Design charts and tables were produced to clarify the relationship between the undrained seismic bearing capacity and the selected parameters.
A V Lyamin, S W Sloan. Lower bound limit analysis using non-linear programming. International Journal for Numerical Methods in Engineering, 2002, 55(5): 573–611 https://doi.org/10.1002/nme.511
2
A V Lyamin, S W Sloan. Upper bound limit analysis using linear finite elements and non-linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(2): 181–216 https://doi.org/10.1002/nag.198
H S Yu, R Salgado, S W Sloan, J M Kim. Limit analysis versus limit equilibrium for slope stability. Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(1): 1–11 https://doi.org/10.1061/(ASCE)1090-0241(1998)124:1(1
6
C M Martin. The use of adaptive finite-element limit analysis to reveal slip-line fields. Géotechnique Letters, 2011, 1(2): 23–29 https://doi.org/10.1680/geolett.11.00018
7
B Ukritchon, S Yoang, S Keawsawasvong. Undrained stability of unsupported rectangular excavations in non-homogeneous clays. Computers and Geotechnics, 2020, 117: 103281 https://doi.org/10.1016/j.compgeo.2019.103281
8
M Beygi, R Vali, R Porhoseini, A Keshavarz, E Maleksaeedi. The effect of rotational stiffness on the behaviour of retaining wall. International Journal of Geotechnical Engineering, 2021, 15(7): 845–856 https://doi.org/10.1080/19386362.2018.1517927
9
J S Shiau, R S Merifield, A V Lyamin, S W Sloan. Undrained stability of footings on slopes. International Journal of Geomechanics, 2011, 11(5): 381–390 https://doi.org/10.1061/(ASCE)GM.1943-5622.0000092
10
Q Chen, M Abu-Farsakh. Ultimate bearing capacity analysis of strip footings on reinforced soil foundation. Soil and Foundation, 2015, 55(1): 74–85 https://doi.org/10.1016/j.sandf.2014.12.006
11
S Ghosh, L Debnath. Seismic bearing capacity of shallow strip footing with Coulomb failure mechanism using limit equilibrium method. Geotechnical and Geological Engineering, 2017, 35(6): 2647–2661 https://doi.org/10.1007/s10706-017-0268-y
12
C M Jadar, S Ghosh. Seismic bearing capacity of shallow strip footing using horizontal slice method. International Journal of Geotechnical Engineering, 2017, 11(1): 38–50 https://doi.org/10.1080/19386362.2016.1183074
13
M Veiskarami, R Jamshidi Chenari, A A Jameei. Bearing capacity of strip footings on anisotropic soils by the finite elements and linear programming. International Journal of Geomechanics, 2017, 17(12): 04017119 https://doi.org/10.1061/(ASCE)GM.1943-5622.0001018
14
J T Chavda, G R Dodagoudar. Finite element evaluation of ultimate capacity of strip footing: Assessment using various constitutive models and sensitivity analysis. Innovative Infrastructure Solutions, 2018, 3(1): 1–10 https://doi.org/10.1007/s41062-017-0121-4
15
R Vali, M Saberian, J Li, G Shams, P van Gelder. Properties of geogrid-reinforced marine slope due to the groundwater level changes. Marine Georesources and Geotechnology, 2018, 36(6): 735–748 https://doi.org/10.1080/1064119X.2017.1386741
J Graham, M Andrews, D H Shields. Stress characteristics for shallow footings in cohesionless slopes. Canadian Geotechnical Journal, 1988, 25(2): 238–249 https://doi.org/10.1139/t88-028
19
J S ShiauJ F Watson. 3D bearing capacity of shallow foundations located near deep excavation sites. In: Proceedings of the 2008 International Conference on Deep Excavation (ICDE 2008). Singapore: International Tunnelling and Underground Space Association (ITA), 2008
20
K Georgiadis. The influence of load inclination on the undrained bearing capacity of strip footings on slopes. Computers and Geotechnics, 2010, 37(3): 311–322 https://doi.org/10.1016/j.compgeo.2009.11.004
21
K Georgiadis. Undrained bearing capacity of strip footings on slopes. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(5): 677–685 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000269
22
M Salih Keskin, M Laman. Model studies of bearing capacity of strip footing on sand slope. KSCE Journal of Civil Engineering, 2013, 17(4): 699–711 https://doi.org/10.1007/s12205-013-0406-x
23
R Vali, G Shams, R Porhoseini, M Saberian, M Beygi. Lateral behaviour of pile located on top of a slope. Australian Geomechanics Journal, 2019, 54: 103–114
24
J Mofidi Rouchi, O Farzaneh, F Askari. Bearing capacity of strip footings near slopes using lower bound limit analysis. Civil Engineering Infrastructures Journal, 2014, 47: 89–109 https://doi.org/10.7508/CEIJ.2014.01.007
25
B Leshchinsky, Y Xie. Bearing capacity for spread footings placed near c′−φ′ slopes. Journal of Geotechnical and Geoenvironmental Engineering, 2017, 143(1): 06016020 https://doi.org/10.1061/(ASCE)GT.1943-5606.0001578
26
K Halder, D Chakraborty, S Kumar Dash. Bearing capacity of a strip footing situated on soil slope using a non-associated flow rule in lower bound limit analysis. International Journal of Geotechnical Engineering, 2019, 13(2): 103–111 https://doi.org/10.1080/19386362.2017.1325119
27
H Zhou, G Zheng, X Yin, R Jia, X Yang. The bearing capacity and failure mechanism of a vertically loaded strip footing placed on the top of slopes. Computers and Geotechnics, 2018, 94: 12–21 https://doi.org/10.1016/j.compgeo.2017.08.009
28
R Jamshidi Chenari, H Kamyab Farahbakhsh, A Izadi. Continuous slip surface method for stability analysis of heterogeneous vertical trenches. Scientia Iranica, 2020, 27(6): 2657–2668 https://doi.org/10.24200/sci.2019.21227
29
A Keshavarz, M Beygi, R Vali. Undrained seismic bearing capacity of strip footing placed on homogeneous and heterogeneous soil slopes by finite element limit analysis. Computers and Geotechnics, 2019, 113: 103094 https://doi.org/10.1016/j.compgeo.2019.103094
30
S M Gourvenec, D S K Mana. Undrained vertical bearing capacity factors for shallow foundations. Géotechnique Letters, 2011, 1(4): 101–108 https://doi.org/10.1680/geolett.11.00026
31
R Jamshidi Chenari, N Zhalehjoo, A Karimian. Estimation on bearing capacity of shallow foundations in heterogeneous deposits using analytical and numerical methods. Scientia Iranica, 2014, 21: 505–515
32
R Jamshidi Chenari, M Zamanzadeh. Uncertainty assessment of critical excavation depth of vertical unsupported cuts in undrained clay using random feld theorem. Scientia Iranica, 2016, 23: 864–875
33
S W Sloan. Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61–77 https://doi.org/10.1002/nag.1610120105
34
S W Sloan. Upper bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 1989, 13(3): 263–282 https://doi.org/10.1002/nag.1610130304
35
A Foroutan Kalourazi, R Jamshidi Chenari, M Veiskarami. Bearing capacity of strip footings adjacent to anisotropic slopes using the lower bound finite element method. International Journal of Geomechanics, 2020, 20(11): 04020213 https://doi.org/10.1061/(ASCE)GM.1943-5622.0001858
M Beygi, A Keshavarz, M Abbaspour, R Vali, M Saberian, J Li. Finite element limit analysis of the seismic bearing capacity of strip footing adjacent to excavation in c−φ soil. Geomechanics and Geoengineering, 2022, 17(1): 246–259 https://doi.org/10.1080/17486025.2020.1728396
38
R Vali, F Foroughi Boroujeni. Ground surface displacements and failure mechanisms induced by EPB shield tunneling method and groundwater levels changes. Transportation Infrastructure Geotechnology, 2022, 2022: 1–23 https://doi.org/10.1007/s40515-022-00239-1
39
R Vali, M Saberian, M Beygi, R Porhoseini, M Abbaspour. Numerical analysis of laterally loaded single-pile behavior affected by urban metro tunnel. Indian Geotechnical Journal, 2020, 50(3): 410–425 https://doi.org/10.1007/s40098-019-00375-5
40
M Beygi, R Vali, A Keshavarz. Pseudo-static bearing capacity of strip footing with vertical skirts resting on cohesionless slopes by finite element limit analysis. Geomechanics and Geoengineering, 2022, 17(2): 485–498 https://doi.org/10.1080/17486025.2020.1794058
41
R Vali, M Beygi, M Saberian, J Li. Bearing capacity of ring foundation due to various loading positions by finite element limit analysis. Computers and Geotechnics, 2019, 110: 94–113 https://doi.org/10.1016/j.compgeo.2019.02.020
42
A Izadi, A Foroutan Kalourazi, R Jamshidi Chenari. Effect of roughness on seismic bearing capacity of shallow foundations near slopes using the lower bound finite element method. International Journal of Geomechanics, 2021, 21(3): 06020043 https://doi.org/10.1061/(ASCE)GM.1943-5622.0001935
43
M Beygi, A Keshavarz, M Abbaspour, R Vali. 3D numerical study of the piled raft behaviour due to groundwater level changes in the frictional soil. International Journal of Geotechnical Engineering, 2020, 14(6): 665–672 https://doi.org/10.1080/19386362.2019.1677326
44
H Fathipour, M Payan, R Jamshidi Chenari, B Fatahi. General failure envelope of eccentrically and obliquely loaded strip footings resting on an inherently anisotropic granular medium. Computers and Geotechnics, 2022, 146: 104734 https://doi.org/10.1016/j.compgeo.2022.104734
45
T Chen, S Xiao. An upper bound solution to undrained bearing capacity of rigid strip footings near slopes. International Journal of Civil Engineering, 2020, 18(4): 475–485 https://doi.org/10.1007/s40999-019-00463-w
46
A Foroutan Kalourazi, A Izadi, R Jamshidi Chenari. Seismic bearing capacity of shallow strip foundations in the vicinity of slopes using the lower bound finite element method. Soil and Foundation, 2019, 59(6): 1891–1905 https://doi.org/10.1016/j.sandf.2019.08.014
47
B Ukritchon, A J Whittle, C Klangvijit. Calculations of bearing capacity factor Nγ using numerical limit analyses. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(5): 468–474 https://doi.org/10.1061/(ASCE)1090-0241(2003)129:6(468
48
M Hjiaj, A V Lyamin, S W Sloan. Numerical limit analysis solutions for the bearing capacity factor Nγ. International Journal of Solids and Structures, 2005, 42(5−6): 1681–1704 https://doi.org/10.1016/j.ijsolstr.2004.08.002
J Kumar. The variation of Nγ with footing roughness using the method of characteristics. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(2): 275–284 https://doi.org/10.1002/nag.716
51
J Kumar, D Chakraborty. Seismic bearing capacity of foundations on cohesionless slopes. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139(11): 1986–1993 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000909
52
P Pakdel, R Jamshidi Chenari, M Veiskarami. An estimate of the bearing capacity of shallow foundations on anisotropic soil by limit equilibrium and soft computing technique. Geomechanics and Geoengineering, 2019, 14(3): 202–217 https://doi.org/10.1080/17486025.2019.1581276