Abstract
The effect of the soil spatial variability on the structural assessment is explored in a context of statically indeterminate beams. The differential settlement among the four footings of a continuous beam is probabilistically determined considering various levels of soil spatial variability using the random finite element method. The settlement-induced beam internal forces, in terms of the transverse shear force and bending moment, are solved by using the force method. The variation of shear force and bending moment within a statically indeterminate beam, which is induced by the soil spatial variability, is systematically quantified using this probabilistic framework. This study points to the importance of properly addressing the effect of spatially varied soil conditions on structural design and promotes the integrated geotechnical and structural design.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bong T, Son Y (2018) A stochastic dual response surface method for reliability analysis considering the spatial variability. KSCE Journal of Civil Engineering 22(9):3524–3533, DOI: https://doi.org/10.1007/s12205-018-0803-2
Chen J (2014) Random field-based reliability analysis of prestressed concrete bridges. KSCE Journal of Civil Engineering 18(6):1436–1445, DOI: https://doi.org/10.1007/s12205-014-0253-4
Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, New York, NY, USA
Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. Journal of Geotechnical and Geoenvironmental Engineering 130(5):507–518, DOI: https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
Haciyev VC, Sofiyev AH, Kuruoglu N (2018) Free bending vibration analysis of thin bidirectionally exponentially graded orthotropic rectangular plates resting on two-parameter elastic foundations. Composite Structures 184:372–377, DOI: https://doi.org/10.1016/j.compstruct.2017.10.014
Haciyev VC, Sofiyev AH, Kuruoglu N (2019) On the free vibration of orthotropic and inhomogeneous with spatial coordinates plates resting on the inhomogeneous viscoelastic foundation. Mechanics of Advanced Materials and Structures 26(10):886–897, DOI: https://doi.org/10.1080/15376494.2018.1430271
Javankhoshdel S, Luo N, Bathurst RJ (2017) Probabilistic analysis of simple slopes with cohesive soil strength using RLEM and RFEM. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 11(3):231–246, DOI: https://doi.org/10.1080/17499518.2016.1235712
Kim HJ, Mission JL (2011) Probabilistic evaluation of economical factor of safety for the geotechnical design of pile axial load capacity. KSCE Journal of Civil Engineering 15(7):1167–1176, DO: https://doi.org/10.1007/s12205-011-0948-8
Luo N, Bathurst RJ (2017) Reliability bearing capacity analysis of footings on cohesive soil slopes using RFEM. Computers and Geotechnics 89:203–212, DOI: https://doi.org/10.1016/j.compgeo.2017.04.013
Luo N, Bathurst RJ (2018a) Probabilistic analysis of reinforced slopes using RFEM and considering spatial variability of frictional soil properties due to compaction. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 12(2):87–108, DOI: https://doi.org/10.1080/17499518.2017.1362443
Luo N, Bathurst RJ (2018b) Deterministic and random FEM analysis of full-scale unreinforced and reinforced embankments. Geosynthetics International 25(2):164–179, DOI: https://doi.org/10.1680/jgein.17.00040
Luo Z, Hu B (2019) Probabilistic design model for energy piles considering soil spatial variability. Computers and Geotechnics 108:308–318, DOI: https://doi.org/10.1016/j.compgeo.2019.01.003
Luo Z, Li Y, Zhou S, Di H (2018) Effect of vertical spatial variability on supported excavations in sands considering multiple geotechnical and structural failure modes. Computers and Geotechnics 95:16–29, DOI: https://doi.org/10.1016/j.compgeo.2017.11.017
Nour A, Slimani A, Laouami N (2002) Foundation settlement statistics via finite element analysis. Computers and Geotechnics 29(8):641–672, DOI: https://doi.org/10.1016/S0266-352X(02)00014-9
Sofiyev AH (2016) Large amplitude vibration of FGM orthotropic cylindrical shells interacting with the nonlinear Winkler elastic foundation. Composites Part B: Engineering 98:141–150, DOI: https://doi.org/10.1016/j.compositesb.2016.05.018
Vanmarcke EH (1983) Random fields: Analysis and synthesis. MIT Press, Cambridge, MA, USA
Wang L, Wu C, Li Y, Liu H, Zhang W, Chen X (2019) Probabilistic risk assessment of unsaturated slope failure considering spatial variability of hydraulic parameters. KSCE Journal of Civil Engineering 23(12):5032–5040, DOI: https://doi.org/10.1007/s12205-019-0884-6
Wu Z, Luo Z (2020) Life-cycle system reliability-based approach for bridge pile foundations under scour conditions. KSCE Journal of Civil Engineering 24(2):412–423, DOI: https://doi.org/10.1007/s12205-020-0916-2
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Luo, N., Luo, Z. Structural Responses of Statically Indeterminate Beams Induced by Soil Spatial Variability. KSCE J Civ Eng 25, 1778–1789 (2021). https://doi.org/10.1007/s12205-021-0929-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-021-0929-5