Question

Machine design problem.

Problem 3 a). For the rotating shaft with a conical roller loaded with the normal to the conical surface force R as shown in figure below), determine the support reactions, b). Determine the rating life for the bearing No. 6306 used as a left hand side support. Note that this is not a shaft of a bevel gear! c). What is a rating life of this bearing if used at the right hand side support of the shaft? Assume: R=20kN, a-30°, a = 80 mm, b = 120 mm, r = 45 mm, d - 30 mm (this diameter is given only for information and is not necessary for calculation) Attention - Look at the units of C and Ce! BAM is sok 602 42 i 6535 15 116 e ou de 125 122 248 * -88 89 1.1811 1638346 = Factors V, X, and Y for Radial Bearings Ia Raticato the Lead the leser Ring Single Row Baaria 15 2) Bearing Type Double Ruw Bearings . .> Rotat-Stani . B 096 100 DOO 150 0084 0.11 200 0.56 1 0 .56 500 750 1000 82- ODO For single row bearings, when . S us X-1 and Y - 0

Answer 1

b) For left Berming, 33354N 1 Fa = booon Fy= 28867.50 For 6306, C = 5000 kg $ Cor 34ooky Co= 3400X9:8) = 499500 fos 490 594 16 = 333540 . c = g® 5000X9-8) = 0 29050W C = 49050 W) tal = 10000. 0-2998 0:28 From we table we take e=0.38 FOI G=028 Falusi = 10000 (u=1 9 shaft is 28867.5 - 0.346 Ze ::*=), Y=o (from table) Eqüvalent load () = XVF+ YfQ 33354 P= 1X1X28867-5 TPE 28867.57 Scanned with CamScanner

b) For left Berming, 33354N 1 Fa = booon Fy= 28867.50 For 6306, C = 5000 kg $ Cor 34ooky Co= 3400X9:8) = 499500 fos 490 594 16 = 333540 . c = g® 5000X9-8) = 0 29050W C = 49050 W) tal = 10000. 0-2998 0:28 From we table we take e=0.38 FOI G=028 Falusi = 10000 (u=1 9 shaft is 28867.5 - 0.346 Ze ::*=), Y=o (from table) Eqüvalent load () = XVF+ YfQ 33354 P= 1X1X28867-5 TPE 28867.57 Scanned with CamScanner

her life= (%* 49050 ( 288675) - 4.906 c) 'we right hand becoming fazo Fy= 15438 C= 490 50nd, Co = 333549) Falco=0 take it as 2014 e = 0.19 FO/UR = 0.20-19 :: X=), y=0 .. equivalent. toad, P= XUFT YFA = 1x1x11547 = 115470 to life= (40)² / 49050 L 11547 , = 76.649 Scanned with CamScanner