Given: Data in Figure 7–28. Input sprocket speed = 1400 rpm
a. Pitch diameters: From Table 7–4,
P32-8MGT-30 sprocket: 32 teeth; Pitch diameter = 3.208 in
P80-8MGT-30 sprocket: 80 teeth; Pitch diameter = 8.020 in
b. Velocity ratio: Using Equation (7–4) in Section 7–2,
V R=\frac{n_{\text {driving }}}{n_{\text {driven }}}=\frac{N_{\text {driven }}}{N_{\text {driving }}}=\frac{80}{32}=2.50
Driven speed of the driven sprocket:
n_{\text {driven }}=\frac{n_{\text {driving }}}{V R}=\frac{1400 \mathrm{rpm}}{2.5}=560 \mathrm{rpm}
c. Belt speed: Using Equation (7-3) in Section 7-2,
v_{\text {bell }}=\frac{P D_{\text {driving }}}{2} n_{\text {driving }}=\frac{3.208 \mathrm{in}}{2} \cdot 1400 \frac{\mathrm{rev}}{\mathrm{min}} \cdot \frac{2 \pi \mathrm{rad}}{\mathrm{rev}} \cdot \frac{1.0 \mathrm{ft}}{12 \mathrm{in}}=1175.8 \mathrm{ft} / \mathrm{min}
d. Center distance: From Table 7-7, using 32 and 80 teeth and 1200-8 \mathrm{MGT}-30 belt,
C D=14.61 \mathrm{in}
TABLE 7–4 Sprockets with 8 mm Belt Pitch |
|
Dim’s all widths |
20-mm Wide belt |
30-mm Wide belt |
50-mm Wide belt |
85-mm Wide belt |
No. of
teeth |
Pitch
dia. |
Flange dia. |
Sprocket
number |
Bushing
size |
Sprocket
number |
Bushing
size |
Sprocket
number |
Bushing
size |
Sprocket
number |
Bushing
size |
22 |
2.206 |
2.559 |
P22-8MGT-20 |
1108 |
P22-8MGT-30 |
1180 |
N/A |
N/A |
N/A |
N/A |
24 |
2.406 |
2.756 |
P24-8MGT-20 |
1108 |
P24-8MGT-30 |
1180 |
N/A |
N/A |
N/A |
N/A |
26 |
2.607 |
2.953 |
P26-8MGT-20 |
1108 |
P26-8MGT-30 |
1180 |
N/A |
N/A |
N/A |
N/A |
28 |
2.807 |
3.15 |
P28-8MGT-20 |
1108 |
P28-8MGT-30 |
1180 |
P28-8MGT-50 |
MPB |
N/A |
N/A |
30 |
3.008 |
3.346 |
P30-8MGT-20 |
1210 |
P30-8MGT-30 |
1210 |
P30-8MGT-50 |
1210 |
N/A |
N/A |
32 |
3.208 |
3.543 |
P32-8MGT-20 |
1210 |
P32-8MGT-30 |
1210 |
P32-8MGT-50 |
1210 |
N/A |
N/A |
34 |
3.409 |
3.819 |
P34-8MGT-20 |
1610 |
P34-8MGT-30 |
1610 |
P34-8MGT-50 |
1610 |
P34-8MGT-85 |
1615 |
36 |
3.609 |
3.937 |
P36-8MGT-20 |
1610 |
P36-8MGT-30 |
1610 |
P36-8MGT-50 |
1610 |
P36-8MGT-86 |
1615 |
38 |
3.81 |
4.134 |
P38-8MGT-20 |
1610 |
P38-8MGT-30 |
1610 |
P38-8MGT-50 |
1610 |
P38-8MGT-87 |
1610 |
40 |
4.01 |
4.331 |
P40-8MGT-20 |
1610 |
P40-8MGT-30 |
2012 |
P40-8MGT-50 |
2012 |
P40-8MGT-88 |
2012 |
44 |
4.411 |
4.764 |
P44-8MGT-20 |
2012 |
P44-8MGT-30 |
2012 |
P44-8MGT-50 |
2012 |
P44-8MGT-89 |
2012 |
48 |
4.812 |
5.157 |
P48-8MGT-20 |
2012 |
P48-8MGT-30 |
2012 |
P48-8MGT-50 |
2012 |
P48-8MGT-90 |
2012 |
56 |
5.614 |
5.945 |
P56-8MGT-20 |
2012 |
P56-8MGT-30 |
2012 |
P56-8MGT-50 |
2517 |
P56-8MGT-91 |
2517 |
64 |
6.416 |
6.772 |
P64-8MGT-20 |
2012 |
P64-8MGT-30 |
2517 |
P64-8MGT-50 |
2517 |
P64-8MGT-92 |
2517 |
72 |
7.218 |
7.598 |
P72-8MGT-20 |
2012 |
P72-8MGT-30 |
2517 |
P72-8MGT-50 |
2517 |
P72-8MGT-93 |
3020 |
80 |
8.02 |
8.386 |
P80-8MGT-20 |
2517 |
P80-8MGT-30 |
2517 |
P80-8MGT-50 |
2517 |
P80-8MGT-94 |
3020 |
90 |
9.023 |
N/A |
P90-8MGT-20 |
2517 |
P90-8MGT-30 |
2517 |
P90-8MGT-50 |
3020 |
P90-8MGT-95 |
3020 |
112 |
11.229 |
N/A |
N/A |
N/A |
P112-8MGT-30 |
2517 |
P112-8MGT-50 |
3020 |
P112-8MGT-96 |
3020 |
144 |
14.437 |
N/A |
N/A |
N/A |
P144-8MGT-30 |
2517 |
P144-8MGT-50 |
3020 |
P144-8MGT-97 |
3535 |
192 |
19.249 |
N/A |
N/A |
N/A |
N/A |
N/A |
P192-8MGT-50 |
3020 |
P192-8MGT-98 |
3535 |
TABLE 7–7 8-mm Pitch GT Drive Selection Table |
Sprocket
combinations |
|
Center distance (inches) |
Driver |
Driven |
Velocity
ratio |
920-8MGT P.L. 36.220 115 teeth |
960-8MGT P.L. 37.795 120 teeth |
1040-8MGT P.L. 40.945 130 teeth |
1064-8MGT P.L. 41.890 133 teeth |
1120-8MGT P.L. 44.094 140 teeth |
1160-8MGT P.L. 45.669 145 teeth |
1200-8MGT P.L. 47.244 150 teeth |
1224-8MGT P.L. 48.189 153 teeth |
1280-8MGT P.L. 50.394 160 teeth |
1440-8MGT P.L. 56.693 180 teeth |
1512-8MGT P.L. 59.528 189 teeth |
1584-8MGT P.L. 62.362 198 teeth |
1600-8MGT P.L. 62.992 200 teeth |
1760-8MGT P.L. 69.291 220 teeth |
1800-8MGT P.L. 70.866 225 teeth |
2000-8MGT P.L. 78.740 250 teeth |
22 |
22 |
1.000 |
14.65 |
15.43 |
17.01 |
17.48 |
18.58 |
19.37 |
20.16 |
20.63 |
21.73 |
24.88 |
26.3 |
27.72 |
28.03 |
31.18 |
31.97 |
35.9 |
24 |
24 |
1.000 |
14.33 |
15.12 |
16.69 |
17.17 |
18.27 |
19.06 |
19.84 |
20.32 |
21.42 |
24.57 |
25.98 |
27.4 |
27.72 |
30.87 |
31.65 |
35.59 |
26 |
26 |
1.000 |
14.02 |
14.8 |
16.38 |
16.85 |
17.95 |
18.74 |
19.53 |
20 |
21.1 |
24.25 |
25.67 |
27.09 |
27.4 |
30.55 |
31.34 |
35.28 |
28 |
28 |
1.000 |
13.7 |
14.49 |
16.06 |
16.54 |
17.64 |
18.43 |
19.21 |
19.69 |
20.79 |
23.94 |
25.35 |
26.77 |
27.09 |
30.24 |
31.02 |
34.96 |
30 |
30 |
1.000 |
13.39 |
14.17 |
15.75 |
16.22 |
17.32 |
18.11 |
18.9 |
19.37 |
20.47 |
23.62 |
25.04 |
26.46 |
26.77 |
29.92 |
30.71 |
34.65 |
32 |
32 |
1.000 |
13.07 |
13.86 |
15.43 |
15.91 |
17.01 |
17.8 |
18.58 |
1906 |
20.16 |
23.31 |
24.72 |
26.14 |
26.46 |
29.61 |
30.39 |
34.33 |
34 |
34 |
1.000 |
12.76 |
13.54 |
15.12 |
15.59 |
16.69 |
17.48 |
18.27 |
18.74 |
19.84 |
22.99 |
24.41 |
25.83 |
26.14 |
29.29 |
30.08 |
34.02 |
36 |
36 |
1.000 |
12.44 |
13.23 |
14.8 |
15.28 |
16.38 |
17.17 |
17.95 |
18.43 |
19.53 |
22.68 |
24.09 |
25.51 |
25.83 |
28.98 |
29.76 |
33.7 |
38 |
38 |
1.000 |
12.13 |
12.91 |
14.49 |
14.96 |
16.06 |
16.85 |
17.64 |
18.11 |
19.21 |
22.36 |
23.78 |
25.2 |
25.51 |
28.66 |
29.45 |
33.39 |
40 |
40 |
1.000 |
11.67 |
12.46 |
14.03 |
14.5 |
15.61 |
16.39 |
17.18 |
17.65 |
18.76 |
21.91 |
23.32 |
24.74 |
25.06 |
28.21 |
28.99 |
32.93 |
44 |
44 |
1.000 |
11.18 |
11.97 |
13.54 |
14.02 |
15.12 |
15.91 |
16.69 |
17.17 |
18.27 |
21.42 |
22.83 |
24.25 |
24.57 |
27.72 |
28.5 |
32.44 |
48 |
48 |
1.000 |
10.55 |
11.34 |
12.91 |
13.39 |
14.49 |
15.28 |
16.06 |
16.54 |
17.64 |
20.79 |
22.21 |
23.62 |
23.94 |
27.09 |
27.87 |
31.81 |
56 |
56 |
1.000 |
9.29 |
10.08 |
11.65 |
12.13 |
13.23 |
14.02 |
14.8 |
15.28 |
16.38 |
19.53 |
20.95 |
22.36 |
22.68 |
25.83 |
26.61 |
30.55 |
64 |
64 |
1.000 |
8.03 |
8.82 |
10.39 |
10.87 |
11.97 |
12.76 |
13.54 |
14.02 |
15.12 |
18.27 |
19.69 |
21.1 |
21.42 |
24.57 |
25.35 |
29.29 |
72 |
72 |
1.000 |
|
|
9.13 |
9.61 |
10.71 |
11.5 |
12.28 |
12.76 |
13.86 |
17.01 |
18.43 |
19.84 |
20.16 |
23.31 |
24.1 |
28.03 |
80 |
80 |
1.000 |
|
|
|
|
9.45 |
10.24 |
11.02 |
11.5 |
12.6 |
15.75 |
17.17 |
18.58 |
18.9 |
22.05 |
22.84 |
26.77 |
24 |
30 |
1.250 |
13.85 |
14.64 |
16.22 |
16.69 |
17.79 |
18.58 |
19.37 |
19.84 |
20.94 |
24.09 |
25.51 |
26.93 |
27.24 |
30.39 |
31.18 |
35.12 |
32 |
40 |
1.250 |
12.43 |
13.22 |
14.8 |
15.27 |
16.37 |
17.16 |
17.95 |
18.42 |
19.52 |
22.67 |
24.09 |
25.51 |
25.82 |
28.97 |
29.76 |
33.7 |
64 |
80 |
1.250 |
|
|
9.1 |
9.57 |
10.68 |
11.47 |
12.26 |
12.73 |
13.84 |
16.99 |
18.41 |
19.83 |
20.14 |
23.29 |
24.08 |
28.02 |
72 |
90 |
1.250 |
|
|
|
|
9.25 |
10.04 |
10.83 |
11.3 |
12.41 |
15.56 |
16.98 |
18.4 |
18.72 |
21.87 |
22.66 |
26.6 |
24 |
32 |
1.333 |
13.7 |
14.48 |
16.06 |
16.53 |
17.63 |
18.42 |
19.21 |
19.68 |
20.78 |
23.93 |
25.35 |
26.77 |
27.08 |
30.23 |
31.02 |
34.96 |
30 |
40 |
1.333 |
12.59 |
13.38 |
14.95 |
15.42 |
16.53 |
17.32 |
18.1 |
18.58 |
19.68 |
22.83 |
24.25 |
25.66 |
25.98 |
29.13 |
29.92 |
33.85 |
36 |
48 |
1.333 |
11.48 |
12.27 |
13.85 |
14.32 |
15.42 |
16.21 |
17 |
17.47 |
18.57 |
21.72 |
23.14 |
24.56 |
24.87 |
28.03 |
28.81 |
32.75 |
48 |
64 |
1.333 |
9.26 |
10.05 |
11.63 |
12.1 |
13.2 |
13.99 |
14.78 |
15.25 |
16.36 |
19.51 |
20.93 |
22.35 |
22.66 |
25.81 |
26.6 |
30.54 |
24 |
36 |
1.500 |
13.36 |
14.15 |
15.73 |
16.2 |
17.3 |
18.09 |
18.88 |
19.35 |
20.46 |
23.61 |
25.02 |
26.44 |
26.76 |
29.91 |
30.7 |
34.63 |
32 |
48 |
1.500 |
11.78 |
12.57 |
14.15 |
14.62 |
15.73 |
16.52 |
17.3 |
17.78 |
18.88 |
22.03 |
23.45 |
24.87 |
25.18 |
28.34 |
29.12 |
33.06 |
48 |
72 |
1.500 |
8.58 |
9.37 |
10.96 |
11.43 |
12.54 |
13.33 |
14.12 |
14.6 |
15.7 |
18.86 |
20.28 |
21.7 |
22.01 |
25.17 |
25.96 |
29.9 |
22 |
44 |
2.000 |
12.87 |
13.66 |
15.24 |
15.71 |
16.81 |
17.6 |
18.39 |
18.87 |
19.97 |
23.12 |
24.54 |
25.96 |
26.28 |
29.43 |
30.22 |
34.16 |
24 |
48 |
2.000 |
12.38 |
13.17 |
14.75 |
15.23 |
16.33 |
17.12 |
17.91 |
18.39 |
19.49 |
22.65 |
24.06 |
25.48 |
25.8 |
28.95 |
29.74 |
33.68 |
28 |
56 |
2.000 |
11.41 |
12.2 |
13.79 |
14.26 |
15.37 |
16.16 |
16.95 |
17.42 |
18.53 |
21.69 |
23.11 |
24.53 |
24.84 |
28 |
28.79 |
32.73 |
32 |
64 |
2.000 |
10.43 |
11.22 |
12.81 |
13.29 |
14.4 |
15.19 |
15.98 |
16.46 |
17.56 |
20.73 |
22.15 |
23.57 |
23.88 |
27.04 |
27.83 |
31.77 |
36 |
72 |
2.000 |
9.43 |
10.24 |
11.83 |
12.31 |
13.42 |
14.22 |
15.01 |
15.49 |
16.6 |
19.76 |
21.18 |
22.61 |
22.92 |
26.08 |
26.87 |
30.81 |
40 |
80 |
2.000 |
8.42 |
9.23 |
10.84 |
11.32 |
12.44 |
13.23 |
14.03 |
14.51 |
15.62 |
18.79 |
20.22 |
21.64 |
21.96 |
25.12 |
25.91 |
29.85 |
56 |
112 |
2.000 |
|
|
|
|
|
9.18 |
10 |
10.94 |
11.63 |
14.85 |
16.29 |
17.73 |
18.05 |
21.23 |
22.03 |
25.99 |
72 |
144 |
2.000 |
|
|
|
|
|
|
|
|
|
|
12.22 |
13.7 |
14.02 |
17.26 |
18.06 |
22.07 |
32 |
80 |
2.500 |
8.97 |
9.78 |
11.4 |
11.88 |
13.01 |
13.81 |
13.81 |
15.08 |
16.2 |
19.38 |
20.81 |
22.23 |
22.55 |
25.71 |
26.51 |
30.46 |
36 |
90 |
2.500 |
7.71 |
8.55 |
10.19 |
10.68 |
11.82 |
1.62 |
12.62 |
13.91 |
15.03 |
18.22 |
19.66 |
21.09 |
21.4 |
24.58 |
25.37 |
29.32 |
24 |
72 |
3.000 |
10.27 |
11.08 |
12.69 |
13.17 |
14.29 |
15.08 |
15.08 |
16.36 |
17.47 |
20.65 |
22.07 |
23.5 |
23.82 |
26.98 |
27.77 |
31.72 |
30 |
90 |
3.000 |
8.1 |
8.94 |
10.6 |
11.09 |
12.23 |
13.04 |
13.85 |
14.33 |
15.46 |
18.65 |
20.09 |
21.52 |
21.84 |
25.02 |
25.81 |
29.77 |
48 |
144 |
3.000 |
|
|
|
|
|
|
|
|
|
12.29 |
13.81 |
15.31 |
15.64 |
18.92 |
19.73 |
23.76 |