Page 235 - Rock Mechanics For Underground Mining
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SUPPORT AND REINFORCEMENT OF MASSIVE ROCK

                                          Failure domains determined in the manner discussed are not described accurately.
                                        This can be appreciated from the observation that any rock failure causes a change
                                        in the geometry of the elastic domain, which can cause further failure. That is, the
                                        problem is a non-linear one, and the solution procedure suggested here examines only
                                        the initial, linear component of the problem. For mining engineering purposes, the
                                        suggested procedure is usually adequate.


                                        7.6  Support and reinforcement of massive rock

                                        Mining activity frequently takes place under conditions sufficient to induce exten-
                                        sive failure around mine access and production openings. An understanding of the
                                        mechanics of the techniques exploited to control the performance of fractured rock
                                        is therefore basic to effective mining practice under these conditions. In this section,
                                        some basic principles of rock support and reinforcement are introduced. This dis-
                                        cussion is extended and a discussion of practical methods and procedures is given in
                                        Chapter 11.
                                          In evaluating the possible mechanical roles of a support system, it is instructive to
                                        consider the effect of support on the elastic stress distribution in the rock medium.
                                        One function of support is taken to be the application or development of a support
                                        load at the excavation surface. It is assumed initially that this is uniformly distributed
                                        over the boundary.
                                          Figure 7.19a shows an elliptical opening with width/height ratio of 4, in a stress
                                        field with vertical stress 20 MPa and horizontal stress 8 MPa. Boundary stresses at
                                        points A and B in the sidewall and crown of the excavation may be calculated directly
                                        from equations 7.6 and 7.7, i.e.

                                                            A = 172.0MPa,     B =−8.0MPa

                                        If a set of vertical supports is installed, sufficient to generate a vertical load of
                                        1 MNm −2  uniformly distributed over the excavation surface, the boundary stresses
                                        around the supported excavation can be determined from the superposition scheme
                                        shown in Figure 7.19b. Thus

                                                            A1 =   A2 +   A3
                                                                           8

                                                             = 1 + 19 1 −    + 8
                                                                          19
                                                             = 161.0MPa
                                                            B1 =   B2 +   B3
                                                                       8       2 × 8  1

                                                             = 0 + 19    − 1 +      ×
                                                                       19       19    4
                                                             =−7.0MPa
                                          From these results, it is concluded that support pressure does not modify the elastic
                                        stress distribution around an underground opening significantly. If failure of the rock
                                        mass is possible in the absence of support, installation of support is unlikely to modify
                                        the stress distribution sufficiently to preclude development of failure. It is therefore
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