Project - Auto Filter Cleaning Machine ( DMRC)
Project No. - GEL-C-306
Calculation of shaft dia & rpm for filter cleaning machine :-
Driver pulley dia. (d1) = 76.2 mm
Driven pulley dia.(D2) = 533.2 mm
N1 = 1440 RPM
N2 = ?
d1N1 = D2N2
N2 = d1 x N1 / D2 = 76.2 x 76.2 / 533.2
   = 205.7 RPM SO i say = 206 RPM
velocity = π x d1 x N1 / 60 x1000
         = π x 76.2 x 1440 / 60 x1000
         = 5.57 m/s
Length of belt = c =1240
L = 2c + π(D2+d1)/2 + (D2-d1)2 /4c
 = 2 x1240 + π( 533.2+76.2)/2 + (533.2 - 76.2)2/4 X1240
 = 2480 +957.2 + 42.1
 = 3479.3 so , i say 3480 mm
Motor (P) = 2.238 kw
N = 206 rpm
P = 2 x π x N x T / 60
T = P x 60 / 2 x π x n = 2.238 x60 / 2 x π x 206 = 103744.2 N-mm
Shaft Material = SS-304
UTS = 515 MPA = 515 N/MM2
Allowable Tensile Stress ( take factor of safety = 6) = 515/6 =85.83 N/MM2
Allowable shear stress ( 40 %) = 34.33 N/MM2
(D)3 = 16 x T / fs x π
 D = 16 x 103744.2 / 34.33 x π = 15390.7 = 24.8 = 25mm
However using 30 mm dia (minimum)