Abstract
The present study pertains to the probabilistic analysis of conically shaped excavation in purely cohesive soil with the incorporation of the randomness of undrained shear strength of cohesive soil (Cu). Axisymmetric lower bound finite elements limit analysis technique is employed to compute the stability number (Ns = γH/Cu) of conical excavation which is a function of slope angle (β) and ratio of excavation height to bottom radius of the excavation (H/b). Failure probability (pF) of the conical excavation is computed by using random field theory in conjugation with Monte Carlo simulation. Probabilistic design charts are presented for various combinations of coefficient of variation of Cu (CoVcu), correlation distance (δ), β and H/b. Design charts indicate that the value of Ns increases with the increment in the value of H/b but reduces with the increase in slope inclination. The magnitude of pF is found to be increasing with an increase in CoVcu value for a particular value of δ.
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Halder, K., Chakraborty, D. (2020). Probabilistic Stability Analysis of Conical Excavation. In: Latha Gali, M., P., R.R. (eds) Geotechnical Characterization and Modelling. Lecture Notes in Civil Engineering, vol 85. Springer, Singapore. https://doi.org/10.1007/978-981-15-6086-6_73
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