Page 380 - Analysis and Design of Machine Elements
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Analysis and Design of Machine Elements
                   358
                        Steps             Computation                           Results    Units
                        19. Compute the   According to    and B/d, from Table 12.4, by  f = 0.00582
                        coefficient of friction  interpolating, we have
                                          C = 4.349
                                           f
                                          f = C    =4.349 × 0.001339 = 0.00582
                                              f
                        20. Select the    According to the ratio of width to diameter B/d, and  C = 0.0541
                                                                                  Q
                        coefficient of oil flow  ratio of eccentricity    = 0.676, from Table 12.3, we
                                          have the coefficient of oil flow C = 0.0541.
                                                                Q
                                                                    7.85 × 2
                                                   3
                                                                                             3 −1
                        21. Calculate oil flow  Q = C     d = 0.0541 × 0.001339 ×  Q = 2.56 ×  m s
                                              Q
                        rate                  3        −5  3 −1       0.15      10 −5
                                          × 0.15 = 2.56 × 10  m s
                                                                           −3
                        22. Compute the   Assuming the density of lubricant    = 900 kg m ,  Δt = 17.54  ∘ C
                        temperature rise of  specific heat capacity of lubricant is
                                                   ∘
                                                      −1
                        the lubricant from  c = 1800 J (kg C) , heat transfer coefficient of
                                                               −1
                        inlet to outlet   lubricant is    = 80 W (m 2 ∘ C) . From Eq. (12.26),
                                                   s
                                                  f  p
                                                    
                                          Δt =
                                                 d
                                              2c   C +       s
                                                 B  Q    v
                                                    0.00582  × 1.511 × 10 6
                                                    0.001339
                                          =
                                            2 × 1800 × 900 ×  0.15  × 0.0541 +    ×80
                                               ∘        0.075       0.001339×7.85
                                          = 17.54 C
                                                 Δt      17.54    ∘
                        23. Compute the oil  t = t −  = 50 −  = 41.23 C
                                          i
                                             m
                                                          2
                                                 2
                        inlet temperature        Δt      17.54     ∘    ∘
                                          t = t +  = 50 +    = 58.77 C < 80 C
                                          o   m  2        2
                                                            ∘
                                          Since normally t = 35–45 C, the inlet temperature
                                                     i
                                          is acceptable
                        24. Select tolerance  According to the diametral clearance Δ= 0.20 mm,
                        and fit            the tolerance and fit is selected as F6/d7 according to
                                          GB/T 1801-1979. The diameter of the bearing bore
                                          is   150 +0.068  the diameter of the journal is   150 −0.145
                                                                           −0.185
                                               +0.043
                        25. Compute the   Δ max  =0.068 − (−0.185) = 0.253mm    Δ min  = 0.188  mm
                        minimum diametrical  Δ  =0.043 − (−0.145) = 0.188mm     Δ   = 0.253  mm
                        clearance and the  min                                    max
                        maximum diametrical  Since Δ= 0.20 mm is between Δ min  and Δ max ,
                        clearance         therefore the tolerance is acceptable
                        26. Check the     At the maximum clearance              h min  = 0.02943 mm
                                             Δ
                        minimum film          =  max  =  0.253  = 0.0016867
                        thickness at the       d    150
                        maximum clearance  From
                                              F    2  17000 ×(0.0016867) 2
                                          C =     =                   = 1.5212
                                           p
                                              2  vB  2 × 0.027 × 7.85 × 0.075
                                          According to C and B/d,from
                                                    p
                                          Table 12.2, we have    = 0.7674
                                          From
                                               d        150
                                          h min  =  2    (1 −   )=  2  × 0.0016867 ×(1 − 0.7674)
                                          = 0.02943 mm
                                          Since h  > [h], the design at maximum clearance is
                                               min
                                          satisfactory.
                                                                                       (continued)
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