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146    CHAPTER 6 Failure analysis of concrete sleepers/bearers




                          Table 6.2 Adjusted Rail Seat Loading for Bearer Spacing 621 mm
                                          Maximum Rail Seat Load     Maximum Rail Seat Load
                          Method          (kN, 760 mm)               (kN, 621 mm)

                          Three adjacent          q r ¼0.50P                q r ¼0.50P a
                          method
                          BOEF model              q r ¼0.43P                q r ¼0.35P
                          AREA method             q r ¼0.60P                q r ¼0.49P
                          ORE method              q r ¼0.65P                q r ¼0.53P
                          a
                           Three adjacent method is a constant 0.50P regardless of spacing.
                         for a sleeper spacing of 621 mm can be approximated by adjusting for the sleeper spac-
                         ing, which is proportional in the earlier equations, with the results shown in Table 6.2.
                            Determining the contribution of the design and track layout to the failure of the
                         bearer requires an assumption of the worst-case scenario. As seen in Figure 6.18,
                         the bearer which failed in the diamond has been designed so that the rail wheel passes
                         over a gap upon the track. Assuming worst-case scenario, the whole axle load would be
                         taken upon the remaining wheel on the other rail, exerting a total P equivalent to the
                         axle load. This is unlikely in real life, as the axle is normally apart of a bogey system
                         comprising two axles. So the most likely scenario in this situation is that the load will
                         be shared among the remaining wheels and not taken upon by the single wheel.
                            The Standards used within New South Wales, Australia, specify a maximum axle
                         loadof295 kNforlocomotivesand230 kNforrollingstock,dependingonthetrackclass
                         (i.e., track class one is for freight trains, while track class two is for passenger trains).
                         Again, assuming the worst-case scenario, the load of 295 kN will be used in the analysis
                         [18]. The distance of the load from the bearer end can be found using the concrete tie
                         layout detail drawing, with the specifications outlined below in Figure 6.19.The load
                         is assumed to be approximately in the middle of the plate (numbered 9-10-11-12).






















                         FIGURE 6.18
                         Track layout and point of failure (red), and gap in rail (green).
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