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SUPPORT AND REINFORCEMENT DESIGN

                                        of rock mass classification-based design rules and more comprehensive numerical
                                        analyses. Quite often in practice, these approaches are used in combination.

                                        Rock-support interaction calculations. These may be carried out using the meth-
                                        ods discussed in section 11.3 and the calculation procedures set out in Appendix C.
                                        Although idealisations of the problem have to be made, and some factors and tech-
                                        niques cannot be specifically allowed for in the calculations, use of this approach
                                        permits the designer to develop a clear understanding of the relative merits of can-
                                        didate reinforcement systems in a particular application. In most cases, it will be
                                        necessary to carry out a series of calculations for a number of trial designs before an
                                        appropriate design can be selected for a field trial.

                                        Empirical design rules. A wide range of empirical support and reinforcement design
                                        rules have been developed over the last 50 years. These rules, which are based on
                                        precedent practice, generally apply to permanent underground excavations rather than
                                        to temporary mining excavations such as stopes. They are geometrically based and
                                        do not account explicitly for the stress field induced around the excavation or for the
                                        quality of the rock mass. For these reasons, they must be used with extreme caution
                                        and only for making preliminary estimates which must be checked by making more
                                        complete assessments.
                                          The range of empirical design rules available has been reviewed by Stillborg (1994)
                                        and by Rachmad et al. (2002) in the context of their application to the support and
                                        reinforcement of production drifts in a block caving mine. One of the most useful
                                        and long-lived set of empirical design rules is that developed by Lang (1961) for
                                        pattern rockbolting of permanent excavations during the construction of the Snowy
                                        Mountains Hydro-electric Scheme in Australia. Although Lang’s rules are described
                                        here as empirical, they were established on the basis of a range of laboratory, field
                                        and theoretical studies which have been reviewed by Brown (1999a). Lang (1961)
                                        gives the minimum bolt length, L, as the greatest of
                                        (a) twice the bolt spacing, s;
                                        (b) three times the width of critical and potentially unstable rock blocks defined by
                                            the average discontinuity spacing, b;or
                                        (c) 0.5B for spans of B < 6m, 0.25 B for spans of B = 18–30 m.
                                          For excavations higher than 18 m, the lengths of sidewall bolts should be at least
                                        one fifth of the wall height. The maximum bolt spacing, s, is given by the least of
                                        0.5L and 1.5b. When weld or chain mesh is used, a bolt spacing of more than 2 m
                                        makes attachment of the mesh difficult if not impossible.
                                          Figure 11.18 shows a preliminary layout of a rockbolting pattern for a horse-shoe-
                                        shaped excavation in jointed rock, prepared using Lang’s rules. This figure also illus-
                                        trates the basis on which Lang’s rules were developed, namely the establishment of a
                                        self-supporting compressed ring or arch around the excavation. If a highly compress-
                                        ible feature such as a fault or a clay seam crosses the compression ring, it is possible
                                        that the required compression will not be developed and that the reinforcement will
                                        be inadequate.

                                        Rock mass classification schemes. Schemes such as those due to Barton et al.
                                        (1974) and Bieniawski (1973, 1976) were developed as methods of estimating support
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