Abstract
The presented research deals with the stability of the rock slopes in the foundation of selected medieval castles in Slovakia.
In the first part a static analysis of the 45 selected medieval castle rock slopes was carried out, where more than 12,000 potentially unstable blocks were analyzed and factor of safety in static condition was calculated using key block theory implemented in the Kbslope module of PTworkshop software.
Based on the results of the static stability analysis a pseudo-static analysis was performed adopting the seismic acceleration in accordance to the Slovak technical norm -Seismic actions on structures. This was implemented by calculating vectors of horizontal force acting upon the shear failure in the direction of slope face with the zero vertical component. The obtained results showed, that if we do not take into account the tapered blocks which represented 81% from the 12,217 investigated blocks in the static conditions, 14% of blocks were unstable. This figure further increased to 23% in the pseudo-static condition, when the seismic acceleration was taken into account.
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References
Giani GP (1992) Rock slope stability analysis. Balkema, Rotterdam, 361 9
Goodman RE, Shi GH (1985) Block theory and its application to rock engineering. Prentice Hall Inc, London, 338p
Haswanto WA, Abd-Ghani R (2008) Kinematic and block theory applications to rock slope stability analysis at Fraser’s hill Pahang Malaysia. Elect J Geotech Eng 13(D)
Heliot D (1988) generating a blocky rock mass. Int J Rock Mech Min Sci 25(3):127–138
Hocking GA (1976) A method for distinguishing between single and double plane sliding of tetrahedral wedges. Int J Rock Mech Min Sci 13(7):225–226
Hoek E, Bray JW (1981) Rock slope engineering. Institute of Mining and Metallurgy, London, 358p
Huang TK, Chen JC, Chang CC (2003) Stability analysis of rock slopes using block theory. J Chinese Instit Eng 26(3):353–359
Jeongi-gi U, Kulatilake PHSW (2001) Kinematic and block theory analyses for shiplock slope of the three gorges dam site in China. Geotech Geol Eng 19(1):21–42
Klaus WJ (1968) Graphical stability analysis of slope in jointed rock. J Soil Mech Found Eng Division. ASCE. 94(2):497–526
Lin D, Fairhurst C (1988) Static analysis of the stability of three-dimensional blocky systems around excavations in rock. Int J Rock Mech Min Sci 25(3):139–147
Lucas JM (1980) A general stereographic method for determining the possible mode of failure of any tetrahedral rock wedge. Int J Rock Mech Min Sci 17(1):57–61
Mauldon M, Goodman RE (1990) Rotational kinematics and equilibrium of block in a rock mass. Int J Rock Mech Min Sci Geomech Abst 27(4):91–301
Pantechnica (2001) Pantechnica, PT Workshop (Kbslope), Pantechnica Corp., Chaska
Priest SD (1980) The use of inclined hemisphere projection methods for the determination of kinematic feasibility, slide direction and volume of rock blocks. Int J Rock Mech Min Sci 17(1):1–23
Shi GH (1996) Simplex integration for manifold method, FEM, DDA and analytical solutions. In: Proceedings of the first international forum on discontinuous deformation analysis DDA and simulations of discontinuous media, Berkeley, TSI Press, Albuquerque, pp 205–262
STN 73 0036 Seismic actions on structures
Vlcko et al (1998) Engineering geological inventory of selected historical objects. Final report, Min Environ. Slovak Republic, 36 p
Warburton PM (1981) Vector Stability Analysis of an Arbitrary Polyhedral Rock Block with any Number of Free Faces. Int J Rock Mech Min Sci 18(5):415–427
Warburton P M (1983) Application of a new computer mode for reconstructing blocky rock geometry, analyzing single block stability and identifying keystones. In: Proceedings of 5th international congress on rock mechanics, Melbourne. Balkema, Rotterdam pp 225–230
Acknowledgments
This work was supported by a grant from the Slovak Ministry of Education VEGA (contract no. 1/0331/09) and partly by the EU FP7 project “SAFER” (contract no. 218802) and Grants of the Slovak Research and Development Agency (contract no. DO7RP-0012-09 and APVV-0330-10).
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Greif, V., Drotar, T. (2013). Static and Pseudo Static Stability Analysis of the Medieval Castle Rock Slopes in Slovakia. In: Margottini, C., Canuti, P., Sassa, K. (eds) Landslide Science and Practice. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31319-6_58
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DOI: https://doi.org/10.1007/978-3-642-31319-6_58
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