JOURNAL OF ROCK MECHANICS

JOURNAL OF ROCK MECHANICS

Reliability Analysis of Bearing Capacity of Foundations on Rock Masses Using Monte Carlo Method

Document Type : Original Article

Authors
1 Professor of Civil Engineering of Shahid Bahinar University, Kerman, Iran.
2 Ph.D. Candidate of Geotechnical Engineering, Shahid Bahinar University, Kerman, Iran.
Abstract
Among the possible options for building the foundations of huge structures, we can mention the foundations located on the rock mass. The bearing capacity of this type of foundation is one of the important issues of engineers' attention. Due to the non-homogeneous nature of the rock mass and the uncertainty of its parameters, the confidence factor cannot be logically and alone relied upon in the analysis of such issues. In this article, considering a footing on a rock mass as a case study and assigning a range of possible values ​​for the effective parameters, the reliability of the bearing capacity of the foundation has been investigated. The results of the studies show that if reliability methods are used, the output of the design will be more reliable and the structures will be economically more economical in addition to maintaining stability and safety.
Keywords

[1] LRFD Design and Construction of Shallow Foundations for Highway Bridge Structures. )2010(. NCHRP report 651, Washington DC.
[2] Fenton, G.A. et al. (2015). Influence of embedment, self-weight and anisotropy on bearing capacity reliability using the random finite element method. Computers and Geotechnics, 67, 229–238.
[3] Yazhou, Xu. & Guoliang, Bai. (2013). Random buckling bearing capacity of super-large cooling towers considering stochastic material properties and wind loads. Probabilistic Engineering Mechanics, 33, 18–25
[4] Shahin, M. A. & Cheung, E. M. (2011). Probabilistic Analysis of Bearing Capacity of Strip Footings. Proceeding of ISGSR.
[5] Suchomel, R. & Mašín, D. (2011). Probabilistic analyses of a strip footing on horizontally stratified sandy deposit using advanced constitutive model. Computers and Geotechnics, 38, 363–374.
[6] Thomas, M. & Tina, K. (2011). Reliability analysis of the bearing failure problem considering uncertain stochastic parameters. Computers and Geotechnics, 37, 299–310.
[7] Cherrubini & et al. (2009). Application of Random Finite Element Method to Bearing Capacity Design of Strip Footing. Journal of GeoEngineering, 4(3), 103- 112.
[8] Dasaka, S. & Rao, R. (2005). Reliability analysis of allowable pressure of strip footing in spatially varying cohesionless soil. Proceeding of ICOSSAR, Rotterdam.
[9] Phoon, K. & Kulhawy, H. (2003). Evaluation of model uncertainties for reliability-based foundation design. Applications of Statistics and Probability in Civil Engineering, Millpress, Rotterdam, ISBN 90 5966 004 8.
[10] fenton, A. & Griffiths, D.V. (2002). Bearing Capacity of Rough Rigid Strip Footing on Cohesive Soil: Probabilistic Study. Journal of Geotechnical and Geoenvironmental Engineering, 128(9), 743-755.
[13] Wyllie, D.C. (1999). Foundations on Rock. FN spon, London.
[14] Hoek, E. (2007). A Brief History of the HoekBrown Failure Criterion,. Soils and Rocks, 2, 23-35.
[15] fenton, A. & Griffiths, D.V. (2008). Risk Assessment in Geotechnical Engineering. John Wiley & Sons. ISBN: 9780470178201
[16] Beacher, G.B. & Christian, J.T. (2003). Reliability and Statistics in Geotechnical Engineering. John Wiley & Sons. ISBN: 978-0-471-49833-9
[18] Christian, J.T. & Beacher, G.B. (1992). Reliability and Probability in Stability Analysis. ASCE, Geotechnical Spatial Publication. 1071 – 1111
[19] Subra, A. (2012). Probabilistic Analysis and Design of Strip Foundations Resting on Rocks Obeying Hoek–Brown Failure Criterion. International Journal of Rock Mechanics & Mining Sciences. 49, 45–58.
[21] Mehmet, S. (2010). Estimating rock mass properties using Monte Carlo simulation: Ankara andesites. Computers & Geosciences 36, 959–969.
[22] Beacher, G.B. (1982). Statistical methods in site characterization. Santa Barbara. California. 463-492.