1,721,138 research outputs found
Two-dimensional numerical analysis on the rock/bolt interaction considering shear and normal relative displacements
Fully-grouted passive bolts are widely used in underground or surface rock excavations and in particular in stabilizing potentially unstable blocks of rock due to sliding on natural discontinuities. Their operating mechanism is complex, but it is possible to consider two stabilizing forces that each bolt applies to the block of rock. These forces depend on the mechanical parameters governing the bolt-rock interaction, which are difficult to evaluate. In this work, specific numerical analyses have been developed, able of evaluating the bolt-rock interaction (in shear and perpendicular to the interface that separates them) for numerous cases that were obtained by varying the main geometric parameters of the bolt, the mechanical properties of the binder material and rock. Thanks to this complex study, it was possible to describe the variability of the interaction parameters and to define, through graphs, the trend of the stabilization forces as the main geometric and mechanical parameters that can be encountered in practice change. The graphs obtained are a useful tool for the correct design of fully-grouted passive bolts and the stabilization of potentially unstable rock blocks on the walls of underground cavities or on the faces of surface excavations
The characteristics of the two-component grout on the stress-state in segmental lining
In this work, the effective influence of the mechanical characteristics of the filling material on the safety factors of the support system is analyzed. Through an extensive parametric analysis, developed by adopting proven analytical methods, on 243 different cases of tunnels excavated using a TBM in a soil mass, at different depths and with different excavation radii, it was possible to identify the conditions in which the safety factors can be effectively low. In all these cases, therefore, it is necessary to intervene on the mechanical characteristics of the filling material, requiring elastic modules and strengths such as to guarantee higher values of the safety factors, avoiding risks on the possible failure of the concrete that makes up the segmental lining and of the same filling material that connects the support system to the tunnel wall
A probabilistic approach for the evaluation of the stabilizing forces of fully grouted bolts
The essential task of the ground reinforcement techniques is to keep the rock as stable as possible. In particular passive rock bolt should resist the rock movements along its entire length and through the resulting reaction forces, to improve the load-bearing capacity of the rock. Among different calculation techniques, the calculations based on Block Reinforcement Procedure (BRP) was used in this paper, also adopting some simplified equations available in the scientific literature. However, parameters influencing the interaction are difficult to evaluate. Therefore, the problem of the reliable definition of the parameters that most influence the behavior of the bolts and the evaluation of the stabilizing forces of the potentially unstable block of rock remains. A new probabilistic approach is presented in this article, able to appropriately manage the uncertainties present on the fundamental parameters of the bolt-rock interaction and on the mechanical characteristics of the sliding surface of the block. Through the use of a Monte Carlo procedure, in fact, it was possible to obtain different samples of the safety factors of the rock block, one for each diameter of the steel bars used for its stabilization. Finally, the probabilistic management of the safety factor samples allowed the correct design of the steel bars, by evaluating the probability that the safety factor of the block with regard to potential slipping has a value lower than a pre-established limit. The probabilistic approach developed was applied to a real problem of stabilization of a potentially unstable rock block due to planar sliding, present on a municipal road in North Italy
A simplified mathematical approach for the evaluation of the stabilizing forces applied by a passive cemented bolt to a sliding rock block
Passive bolting is used to stabilise unstable rock blocks in surface and underground structures due to the various advantages it offers. Despite its use, the design phase still presents aspects of considerable complexity because the fact that the load of the bolt and therefore, its static action depends on its interaction with the block and the stable rock. In the present work, a mathematical model was developed which is capable of directly calculating the stabilisation forces as a function of the characteristic parameters of the bolt and of its interaction with the rock. This discussion is based on a simplified hypothesis of bolt behaviour, which provides negligible errors, and on the observation that the critical point is positioned at the intersection of the bolt with one of the lateral surfaces that separate it from the portion of stable rock. The formulation of the stabilisation forces obtained made it possible to evaluate the static contribution of each single bolt to the stability of the rock block, by varying the diameter of the steel bar and then designing the bolting operation to achieve acceptable stability conditions for the rock block. The application of stabilising equations to a real case, for which the results of load tests on bolt tests were available, allowed us to outline steps to be taken in the bolt design process
Statistical and mathematical preliminary interpretation of mechanical test results on sands grouted with colloidal silica
Colloidal silica is a relatively new grouting low-carbon material used in soil improvement projects. A series of mechanical tests on a sand with different solid contents of the binder, i.e. 40, 30 and 20% solid content have been performed. Unconfined compressive strength at 7, 28 and 56 days, shear tests and permeability tests at 7 days were assessed. A statistical interpretation of these data has been performed and values were interpreted. A mathematical prediction model was suggested to estimate the mechanical strength of the grouted sand as the dilution grade varies. Furthermore, some considerations useful for geotechnical design on the evolution over time of the mechanical characteristics of the grouted sands have been carried out. Results show, from a statistical and mathematical view, that colloidal silica is a promising binder for ground improvement applications
Statistical Interpretation of Jet Grouting Field Data Regarding Its Strength and Stiffness
Jet-grouting technique is one of the most widespread methods for soil reinforcement, used to make soil suitable to withstand forces transmitted by structures or the redistribution of stresses following excavations. The result of the treatment however is influenced by several factors, including type of treatment, type of soil, original stress state of the soil, machine operating parameters, and water-to-cement ratio. In particular, the strength of the treated material and its stiffness are very useful for designing the intervention for a specific case. Due to the uncertainty of the final strength and stiffness values, a test field is almost always required. But the design of the test field itself and the subsequent design of the intervention require some preliminary information on the expected values of the strength and the elastic modulus. An in-depth analysis of the scientific and technical literature was conducted, allowing for the selection of a significant number of cases. For each case, the type of treatment, the type of soil, uniaxial compressive strength (UCS), and elastic modulus (E) values were recorded. It was possible to determine the trend of the average UCS values and the E/UCS ratio for each type of analyzed soil and for the two studied jet-grouting techniques. In addition to the average values, the variability intervals, centered on the mean, capable of enclosing 90% of the data in the sample were identified. The obtained graphs represent a useful tool for obtaining a preliminary estimate of the strength and stiffness of the treated soil using the jet-grouting technique
Probabilistic estimation of the advancement rate of the Tunnel Boring Machines on the basis of rock mass characteristics
Abstract: The prediction of the advancement rate of a Tunnel Boring Machine (TBM) is one of the most important aspects of the design phase of a rock tunnel. Many authors have deepened the argument, coming to estimate this value as a function of some characteristics of the rock and of the excavation machine. Among the many developed systems, one of the most complete and effective is the one proposed by Norwegian University of Science and Technology (NTNU). Unfortunately, the complexity of the phenomenon studied requires evaluating many characteristic parameters of the rock mass in some cases not known or known only with poor precision. In this work a new probabilistic procedure is developed, based on the study of the NTNU, able to estimate the variability interval of the advancement of the TBM per revolution of the TBM head i, with the associated reliability, referring to the most common characteristic parameters of the rock mass: number of discontinuity sets, type of discontinuities, average spacing between discontinuities, uniaxial compressive strength of the intact rock (UCS). Some abacuses have been pre-arranged in order to facilitate the evaluation for all the practical cases that can be encountered in the excavation of rock tunnels. An application to the well-known case of the Tunnel of Varzo (North-West of Italy) made it possible to compare the results of the probabilistic study with the net rate actually measured on the TBM. Article highlights: The NTNU system is one of the most important prediction model for advancement rate for TBM.A new probabilistic procedure is developed, based on the NTNU model.The variability interval of i is estimated considering some characteristic parameters of the rock mass
A Parametric Analysis on the Influence of the Binder Characteristics on the Behaviour of Passive Rock Bolts with the Block Reinforcement Procedure
An extensive parametric analysis of 729 typical cases was developed with a calculation procedure allowing to simulate in detail the behavior of the passive bolts and their interaction with the surrounding rock. The parametric analysis allowed to evaluate the effectiveness of the bolts, on the basis of the extent of the stabilization forces produced, in relation to the geometric and mechanical characteristics of the binder used in the realization of the bolts. Different bolt diameters and lengths, binder thickness and elastic moduli and block displacement values with respect to the horizontal plane have been considered. It has been possible to detect how such parameters have a great influence on the mechanical behavior of the bolt and on the extent of the stabilizing forces which are applied to the potentially unstable rock block. For this reason, therefore, the definition of the characteristics of the binder (and in particular the thickness of the binder around the steel bar and the elastic modulus of the binder itself) cannot be assessed only in relation to application aspects, but it must be able to consider the effects on the efficiency of the bolt and in particular on the stabilization forces on the potentially unstable rock block
Effect of Gravity of the Plastic Zones on the Behavior of Supports in Very Deep Tunnels Excavated in Rock Masses
The vertical load acting on a support structure is affected by the loss of self-bearing capacity of the rock inside the plastic zone.
This load can then be accounted for by analytical calculation methods capable of evaluating the stresses in the tunnel support system to proceed
with the tunnel design. Generally, the effect of the rock’s own weight in the plastic zone is considered in a simplistic way by evaluating an
additional vertical load given by the weight of the rock due to the thickness of the plastic zone. This approach leads to a significant increase in
the vertical load with the risk of overdesigning the support structure. In this work, the effect of the rock’s own weight in the plastic zone was
considered by modifying the numerical solution of the convergence-confinement method for tunnels built in rock. In this way, through the
intersection of the characteristic curve of the tunnel and the intersection line of the support structure, it is possible to determine both the vertical
loads (with the effect of the weight of the rock) and the horizontal load (without the effect of weight of the rock). The application of the method
to a project in the Alps allowed the detection of the magnitude of the percentage increase of the vertical load and a significant increase in the
thickness of the plastic zone and determination of the consequences that this may have on the designing of the radial bolting length in that
zone. Increasing the plastic radius led to an increase in the length of the bolts. This is interesting because, in the area of the crown where the
weight of the plasticized rock is considered, the bolts are usually installed with a greater length. In the final part of the study, a new procedure
was illustrated to define the vertical and horizontal loads acting on the support structures, starting from the convergence-confinement curves
obtained for the crown and for the lateral areas (sides)
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