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shaft_bending.xls
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To help design shafts in bending at stress concentration region
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By Alex Slocum, last modified 2/12/2004 by Alex Slocum
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Enters numbers in BOLD, Results in RED
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Large diameter, D14Case 1: with radius between diametersCase 2: with radius undercut between diameters
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Small diameter, d8
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Bending moment (N-m)10
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Major shaft diameter14
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Transition radius (mm)0.5
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Fillet stress concentration factor, Kt2.89
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Undercut stress concentration factor, Kt1.99
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Inertia I at fillet shaft diameter (mm^4)201radius r (mm)KtStress (Mpa) t/GShaft min dKtStress (Mpa) t/G
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Inertia I at undercut shaft diameter (mm^4)1180.111.16222.17.802.6657.10
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Fillet design bending stress (MPa)5750.25.93117.97.602.4055.62
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Undercut design bending stress (MPa)5920.34.2284.07.402.2155.67
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0.43.3967.47.202.0956.95
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0.52.8957.57.001.9959.15
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0.62.5651.06.801.9262.15
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0.72.3346.46.601.8665.90
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0.82.1642.96.401.8170.42
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0.92.0240.26.201.7775.76
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11.9238.16.001.7482.01
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Case 3: with hole in the middleCase 4: with slab in the middle, where corner radius is r, width is b=D/4, and depth is t=D/8
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Hole d (mm)KtStress (Mpa) t/Gradius r (mm)KtStress (Mpa) t/G
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11.315.5511.515.61
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21.386.7721.324.92
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31.438.3231.254.63
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41.4610.5341.214.47
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51.4914.0551.184.37
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62.7437.2961.164.29
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