Generalization of Mauldon's and Goodman's Vector Analysis of Keyblock Rotations
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 124, Issue 10
Abstract
Development of the three-dimensional vector analysis of keyblock rotations is presented and described for tetrahedral blocks. The possibility to incorporate loads of every kind is introduced by using rigid body dynamics. This allows the designer to take into account couples and forces that are not applied to the centroid of the block, such as those caused by reinforcement, seepage, and external water pressures. Closed-form solutions are propounded for conditions for rotatability, mode analysis, and stability analysis. It is shown that this procedure can be added easily to the usual block theory analysis. From a design point of view, it needs to address only those keyblocks that are either stable to translation even without friction (type III) or stable to translation with sufficient friction (type II). Also it is found that blocks actually can be unstable, even if regarded as stable according to previous theories that either disregarded rotatability or assumed that the point of application of the resultant be the centroid of the block. A numerical example taken from a practical field case rounds off the presentation of the procedure.
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References
1.
Chiffi, A. (1983). Analisi matematica, volume secondo. Editrice Alceo, Padova, Italy.
2.
Goodman, R. E.(1995). “Block theory and its application—the 1995 Rankine lecture.”Geotechnique, London, England, 45(3), 381–423.
3.
Goodman, R. E., and Shi, G. H. (1985). Block theory and its application to rock engineering. Prentice-Hall Intl., London, England.
4.
Grioli, G. (1988). Lezioni di meccanica razionale. Edizioni Libreria Cortina, Padova, Italy.
5.
Mammino, A., and Tonon, F. (1997). Opere strutturali per l'ingegneria territoriale, Vol. 1, Tomo 2—Le opere in sotterraneo in roccia: Alcuni metodi di progetto e di verifica. Alinea, Firenze, Italy.
6.
Mammino, A., Tonon, F., Cadrobbi, L., and Valle, C. (1996). “Stabilization of a huge rock block overhanging the inhabited area of Zambana Vecchia (Province of Trento, Italy).”Proc., ISRM Int. Symp. on Prediction and Performance in Rock Mech. and Rock Engrg. EUROCK '96, A. A. Balkema, Rotterdam, The Netherlands, 589–596.
7.
Mauldon, M., and Goodman, R. E.(1996). “Vector analysis of keyblock rotations.”J. Geotech. Engrg., ASCE, 122(12), 976–987.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Oct 1, 1998
Published in print: Oct 1998
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