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shaft_bending

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  • pg 1
									                           shaft_bending.xls
     To help design shafts in bending at stress concentration region
      By Alex Slocum, last modified 2/12/2004 by Alex Slocum
              Enters numbers in BOLD, Results in RED

Large diameter, D                                                        14          Case 1: with radius between diameters
Small diameter, d                                                         8
Bending moment (N-m)                                                     10                                  r
Major shaft diameter                                                     14        D
Transition radius (mm)                                                  0.5
Fillet stress concentration factor, Kt                                 2.89
Undercut stress concentration factor, Kt                               1.99
Inertia I at fillet shaft diameter (mm^4)                               201     radius r (mm)          Kt
Inertia I at undercut shaft diameter (mm^4)                             118                0.1       11.16
Fillet design bending stress (MPa)                                      575                0.2        5.93
Undercut design bending stress (MPa)                                    592                0.3        4.22
                                                                                           0.4        3.39
                                                                                           0.5        2.89
                                                                                           0.6        2.56
                                                                                           0.7        2.33
                                                                                           0.8        2.16
                                                                                           0.9        2.02
                                                                                             1        1.92

                                                                                         Case 3: with hole in the middle

                                                                                                        d
                                                                                  D

                                                                              Hole d (mm)              Kt
                                                                                            1                1.31
                                                                                            2                1.38
                                                                                            3                1.43
                                                                                            4                1.46
                                                                                            5                1.49
                                                                                            6                2.74
dius between diameters                  Case 2: with radius undercut between diameters


                  d                     D                                             d
                                                           r
                Stress (Mpa) t/G     Shaft min d               Kt           Stress (Mpa) t/G
                      222.1              7.80                 2.66                57.10
                      117.9              7.60                 2.40                55.62
                       84.0              7.40                 2.21                55.67
                       67.4              7.20                 2.09                56.95
                       57.5              7.00                 1.99                59.15
                       51.0              6.80                 1.92                62.15
                       46.4              6.60                 1.86                65.90
                       42.9              6.40                 1.81                70.42
                       40.2              6.20                 1.77                75.76
                       38.1              6.00                 1.74                82.01
                                    Case 4: with slab in the middle, where corner radius is r,
h hole in the middle                          width is b=D/4, and depth is t=D/8
                                                                     r
                                              D


                Stress (Mpa) t/G     radius r (mm)             Kt            Stress (Mpa) t/G
                             5.55                    1                1.51         5.61
                             6.77                    2                1.32         4.92
                             8.32                    3                1.25         4.63
                           10.53                     4                1.21         4.47
                           14.05                     5                1.18         4.37
                           37.29                     6                1.16         4.29

								
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