Page 20 - Failure Analysis Case Studies II
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                                     30 -



                                     20-
                                            f                                       fi.2





                                               I     I     I      I     I
                                              5     10     15    20    25       AI  [mml
                                             Fig. 7.  Behaviour of bolted joints in tension tests.



                         Specimens B. 1, B.2, C. 1 and C.2 were tested for the strength of the bolted joints. From Fig. 7, it
                       can be seen that they started to yield  between loads of  15 and 25 kN, and that the deformation
                       before fracture was in most cases more than 25 mm.

                       2.4. Determination of the density of the slurry
                         Four samples E gave an average density of  1.035 kgl-'.  Sample D taken from the site had  a
                       density of 1.05 kgl-I.


                                              3.  NUMERICAL  EVALUATIONS
                       3.1. Determination of$lling  level from records of the user
                         After the accident, the user of the silo supplied notes of deliveries, from which the theoretical
                       filling level at the time of the accident could be calculated (Table 3).
                         This height corresponds to filling up to the upper edge of ring 7 (counted from the top).


                       3.2. Stress analysis of boltedjoint
                         The average values for yield and ultimate strength are provided by the tensile tests on the sheet
                       material, with Rpo.2 = 283 MPa and R, = 330 MPa. This gives for shear:

                                                   z0.2,pem = 3 163 MPa,
                                                             =

                                                          Rm   191MPa.
                                                   zm*-   = fi =
                         For one bolt, at a distance of 25.4mm from the edge of the sheet, one obtains
                                             Fo.2 = ~~.2,~,,,, x 2.4 x 25.4 x 2 = 19.9 kN,      (3)



                                              Table 3.  Calculation of filling level from records
                                            Contents according to bookkeeping notes  407,790  kg
                                            Density according to tests, maximum   1.05 kgl-'
                                            Base area of silo (inside)   27.98m2
                                            Theoretical level           13.9m
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