Copy of 102102122 Belt Tension

8/3/2019 Copy of 102102122 Belt Tension

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The following excel file will calculate estimated V belt tension based on operator inp

This is Method 1 as described in the instructions for setting proper belt tensionThe governing equation is Ts = ((HP * K) / Q * (S/1000)) + Tc

User inputs the necessary information in column C

USER

INPUT VARIABLES INPUT

Driven Horsepower HP 10.00 HP

RPM of Driving Pulley RPM 1760.00 RPM

Pitch Diameter Driving Pulley d 9.25 in

Pitch Diameter of Driven Pulley D 19.50 in

Center Distance Between Pulleys C 19.50 in

Number of Belts Q 2.00

Select Appropriate Belt Type Note: See the procedfor a complete

Also see image

CALCULATIONS

(D-d)/C 0.53

K Factor K 28.27

Belt Span Length L 18.81 in

Belt Speed (ft/min) / 1000 S/1000 4.26536 (ft/min)/1000

Centrifugal Tension Add-On Value Tc 9.10 lbs

V Belt Tension per Belt Ts 42.2 lbs

Notes

The value of K is obtained by calculating the value of (D-d)/C and inputting into the curve fit function of the tabl

The value of Tc is obtained by calculating the value of S/1000 and inputting into the appropriate V belt curve fit

B or BX


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Standard V belts


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(C) Banded V belt


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t of specific data -

ure (Guidelines for Belt Tension - Vee Belts.doc)

isting/identification of various types of belts and their sizes.

s below

shown on Sheet 2

function of the applicable table shown on Sheet 3


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Table 29 Factors Table

Arc of Contact (D-d)/C K

180 0.000 24.750

179 0.017 24.843

178 0.035 24.937

177 0.052 25.032

176 0.070 25.129

175 0.087 25.227

174 0.105 25.326173 0.122 25.427

172 0.140 25.529

171 0.157 25.632

170 0.174 25.737

169 0.192 25.844

168 0.209 25.952

167 0.226 26.061

166 0.244 26.172

165 0.261 26.285

164 0.278 26.399

163 0.296 26.515

162 0.313 26.633161 0.330 26.752

160 0.340 26.873

159 0.364 26.996

158 0.382 27.120

157 0.399 27.247

156 0.416 27.375

155 0.433 27.505

154 0.450 27.638

153 0.467 27.772

152 0.484 27.908

151 0.501 28.046

150 0.518 28.187

149 0.534 28.329

148 0.551 28.474

147 0.568 28.621

146 0.585 28.771

145 0.601 28.992

144 0.618 29.076

143 0.635 29.233

142 0.651 29.39234.000

36.000

38.000

40.000


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141 0.668 29.553

140 0.684 29.718

139 0.700 29.884

138 0.717 30.054

137 0.733 30.226

136 0.749 30.402

135 0.765 30.580134 0.781 30.761

133 0.797 30.945

132 0.813 31.132

131 0.829 31.323

130 0.845 31.516

129 0.861 31.713

128 0.877 31.914

127 0.892 32.118

126 0.908 32.325

125 0.939 32.752

123 0.954 32.970

122 0.970 33.193121 0.985 33.420

120 1.000 33.651

119 1.015 33.886

118 1.030 34.126

117 1.045 34.370

116 1.060 34.618

115 1.075 34.871

114 1.089 35.130

113 1.104 35.393

112 1.118 35.661

111 1.133 35.934

110 1.147 36.213

109 1.161 36.497108 1.176 36.787

107 1.190 37.083

106 1.204 37.385

105 1.218 37.693

104 1.231 38.008

103 1.245 38.328

102 1.259 38.656

101 1.272 38.991

24.000

26.000

28.000

30.000

32.000

0.000

K


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v

K factor as function of (D-d)/C

K Poly. (K)


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K = 2.9348x4 - 3.2965x3 + 4.4327x2 + 4.8082x + 24.77

where x is the value of (D-d)/C

.200 0.400 0.600 0.800 1.000 1.200

(D-d)/C


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1.400


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Table 31 Tc Add-On Value

Table 31 - Value of Tc as function of belt speed/1000 and type of belt

Power Wedge Cog Belt Super Power Wedge Super Blue Ri

S (ft/min)/1000 3VX 5VX 8VX 5V 8V AP or AK

0.5 0.05 0.13 0.44 0.15 0.41 0.08

0.75 0.11 0.30 0.98 0.34 0.92 0.19

1 0.19 0.54 1.74 0.61 1.64 0.33

1.25 0.30 0.84 2.72 0.96 2.56 0.52

1.5 0.44 1.21 3.92 1.38 3.69 0.75

1.75 0.59 1.65 5.34 1.88 5.02 1.02

2 0.78 2.16 6.97 2.45 6.56 1.33

2.25 0.98 2.73 8.82 3.10 8.30 1.68

2.5 1.21 3.37 10.89 3.83 10.24 2.08

2.75 1.47 4.08 13.18 4.63 12.40 2.513 1.75 4.85 15.68 5.51 14.75 2.99

3.25 2.05 5.70 18.41 6.47 17.31 3.51

3.5 2.38 6.61 21.35 7.50 20.08 4.07

3.75 2.73 7.58 24.51 8.61 23.05 4.67

4 3.11 8.63 27.88 9.80 26.23 5.31

4.25 3.51 9.74 31.48 11.06 29.61 6.00

4.5 3.93 10.92 35.29 12.40 33.19 6.73

4.75 4.38 12.17 39.32 13.82 36.98 7.49

5 4.85 13.48 43.57 15.31 40.98 8.30

5.25 5.35 14.86 48.03 16.88 45.18 9.15

5.5 5.87 16.31 52.72 18.53 49.58 10.05

5.75 6.42 17.83 57.62 20.25 54.19 10.986 6.99 19.41 62.74 22.05 59.01 11.96

6.25 7.58 21.06 68.07 23.93 64.03 12.97

6.5 8.20 22.78 73.63 25.88 69.25 14.03

6.75 8.84 24.57 79.40 27.91 74.68 15.13

7 9.51 26.42 85.39 30.01 80.32 16.27

y = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044y = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044

1.00

2.00

3.00

4.00

5.00

6.00

7.008.00

9.00

10.00

Tc

3VX


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Tc = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044

Tc = -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149

.0 1 2 3 4 5 6 7 8

S (fpm)/1000

y = -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149

0.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

0 1 2 3 4 5 6 7

Tc

S (fpm)/1000

5V

y = -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069

0.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00

18.00

0 1 2 3 4 5 6 7

T

c

AP or AK


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Tc = -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069

y = -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007

The Following Listing are the Curve Functions From All The Curves On This Page

The Formulas are shown in column C and the values (depending on the belt speed S) are shown in column

V or Banded Belt Designator Curve Fit (Trend) Function From Tables/Curves

Single V Belt 3VX 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044

Single V Belt 5VX 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052

Single V Belt 8VX 4E-05x4 - 0.0007x3 + 1.7472x2 - 0.0102x + 0.0062

Single V Belt 5V -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149

Single V Belt 8V 2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x - 0.0003

Single V Belt AP or AK -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069

Single V Belt BP or BK 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052

Single V Belt CP or CK -3E-05x4 + 0.0003x3 + 0.9872x2 - 0.0025x + 0.0045

Single V Belt DP 4E-05x4 - 0.0007x3 + 1.8715x2 - 0.0081x + 0.0057Single V Belt A or AX -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007

Single V Belt B or BX 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102

Single V Belt C or CX 6E-05x4 - 0.0008x3 + 0.8921x2 - 0.0048x + 0.0014

Single V Belt D or DX 0.0001x4 - 0.0017x3 + 1.9923x2 - 0.0138x + 0.0079

Banded Belt R3V 2E-05x4 - 6E-05x3 + 0.2534x2 + 0.1327x + 0.0103

Banded Belt R5V 1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358

Banded Belt R8V -2E-07x4 + 1E-05x3 + 0.1184x2 + 0.2386x + 0.1165

Banded Belt RBP -0.0002x4 + 0.0031x3 + 0.677x2 + 0.0201x - 0.0113

S (fpm)/1000

y = -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007

0.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00

0 1 2 3 4 5 6 7

Tc

S (fpm)/1000

A or AX


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Banded Belt RCP -0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.2378

Banded Belt RDP 9E-05x4 - 0.0013x3 + 2.1499x2 - 0.0089x - 0.0016

Banded Belt RBX -0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108

Banded Belt RCX -0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.0663

Banded Belt RDX 0.0001x4 - 0.0018x3 + 2.2864x2 - 0.0139x + 0.0006

Table 31 - Value of Tc as function of belt speed/1000 and type of belt (these are banded belts)

Wedge Band Super Vee-Band

R3V R5V R8V RBP RCP RDP

0.5 0.06 0.16 0.47 0.17 0.29 0.540.75 0.14 0.37 1.07 0.39 0.66 1.21

1 0.25 0.65 1.90 0.68 1.15 2.10

1.25 0.40 1.03 2.97 1.08 1.82 3.35

1.5 0.57 1.48 4.27 1.55 2.62 4.82

1.75 0.78 2.02 5.81 2.11 3.57 6.57

2 1.02 2.64 7.59 2.76 4.66 8.58

2.25 1.29 3.34 9.61 3.49 5.90 10.85

2.5 1.59 4.12 11.86 4.31 7.28 13.40

2.75 1.92 4.99 14.35 5.22 8.81 16.21

3 2.29 5.94 17.08 6.21 10.48 19.29

3.25 2.69 6.97 20.05 7.29 12.30 22.64

3.5 3.12 8.08 23.25 8.45 14.27 26.26

3.75 3.58 9.28 26.69 9.71 16.38 30.154 4.07 10.56 30.37 11.04 18.63 34.30

4.25 4.60 11.92 34.28 12.47 21.04 38.72

4.5 5.15 13.36 38.43 13.98 23.58 43.41

4.75 5.74 14.89 42.82 15.57 26.28 48.37

5 6.36 16.50 47.45 17.25 29.12 53.60

5.25 7.01 18.19 52.31 19.02 32.10 59.09

5.5 7.70 19.96 57.41 20.88 35.23 64.85

5.75 8.41 21.82 62.75 22.88 38.51 70.88

6 9.16 23.76 68.33 24.85 41.93 77.18

6.25 9.94 25.78 74.14 26.96 46.49 83.74

6.5 10.75 27.88 80.19 29.16 49.21 90.58

6.75 11.60 30.07 86.47 31.45 53.06 97.687 12.47 32.34 93.00 33.82 57.07 105.05

R3V


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-0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108

Below are the Sheet 1 backup calculations in case it gets inadvertantly deleted

CALCULATIONS

(D-d)/C #DIV/0!

K Factor K 24.77

Belt Span Len L 0.00 in

Belt Speed (ft/ S/1000 0 (ft/min)/1000

Centrifugal Te Tc 11.63 lbs

V Belt Tension Ts #VALUE! lbs

y = -0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108

0.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

0 1 2 3 4 5 6 7

Tc

S (fpm/1000)

RBX


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bon & Aramax Gold Label Cog & Super II

BP or BK CP or CK DP AX or A BX or B CX or C DX or D

0.13 0.25 0.47 0.08 0.13 0.22 0.50

0.30 0.56 1.05 0.17 0.28 0.50 1.12

0.54 0.99 1.87 0.31 0.50 0.89 1.98

0.84 1.54 2.92 0.48 0.78 1.39 3.10

1.21 2.22 4.20 0.69 1.13 2.00 4.46

1.65 3.03 5.72 0.94 1.53 2.72 6.08

2.16 3.95 7.47 1.23 2.00 3.55 7.94

2.73 5.00 9.46 1.55 2.53 4.50 10.05

3.37 6.17 11.67 1.91 3.13 5.55 12.40

4.08 7.47 14.12 2.32 3.78 6.72 15.014.85 8.89 16.81 2.76 4.50 8.00 17.86

5.70 10.43 19.73 3.23 5.29 9.39 20.96

6.61 12.10 22.88 3.75 6.13 10.89 24.31

7.58 13.89 26.27 4.31 7.04 12.50 27.90

8.63 15.80 29.88 4.90 8.01 14.22 31.75

9.74 17.84 33.74 5.53 9.04 16.05 35.84

10.92 20.00 37.82 6.20 10.13 17.99 40.18

12.17 22.29 42.14 6.91 11.29 20.05 44.77

13.48 24.69 46.69 7.66 12.51 22.21 49.61

14.86 27.23 51.48 8.44 13.79 24.49 54.69

16.31 29.88 56.50 9.26 15.14 26.88 60.02

17.83 32.66 61.75 10.13 16.54 29.38 65.6019.41 35.56 67.24 11.03 18.01 31.99 71.43

21.06 38.59 72.96 11.96 19.55 34.71 77.51

22.78 41.73 78.91 12.94 21.14 37.54 83.83

24.57 45.01 85.10 13.95 22.80 40.49 90.41

26.42 48.40 91.52 15.01 24.52 43.54 97.23

y = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.

5.00

10.00

15.00

20.00

25.00

30.00

Tc

5VX


20/39

Tc = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052

Tc =2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x - 0.0003

.0 1 2 3 4 5 6

S (fpm)/1000

8

y = 2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x -

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

0 1 2 3 4 5 6

Tc

S (fpm)/1000

8V

8

y = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0

0.00

5.00

10.00

15.00

20.00

25.00

30.00

T

c

BP or BK


21/39

Tc = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052

y = 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102

H

Curve Fit Value (Based on Belt Speed/1000)

3.531363472

9.791953872

31.70893915

11.12314973

29.82470612

6.042140425

9.8124276

17.96760875

33.952343415.575642473

9.100760463

16.16894457

36.09671949

5.188458323

13.45545123

3.292114983

12.56565884

S (fpm)/1000

8

y = 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102

0.00

5.00

10.00

15.00

20.00

25.00

30.00

0 1 2 3 4 5 6 7

Tc

S (fpm)/1000

B or BX


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21.18584795

39.00311361

11.6267501

19.04215339

41.43188119

Gold Label Cog-Band

RBX RCX RDX

0.16 0.26 0.570.36 0.59 1.28

0.63 1.05 2.25

1.00 1.64 3.56

1.44 2.36 5.12

1.96 3.21 6.97

2.55 4.19 9.11

3.23 5.31 11.53

3.99 6.56 14.23

4.83 7.93 17.22

5.75 9.43 20.50

6.74 11.07 24.06

7.82 12.84 27.90

8.96 14.47 32.0310.21 16.77 36.44

11.53 18.93 41.14

12.93 21.23 46.12

14.40 23.65 51.39

15.96 26.20 56.94

17.69 28.89 62.77

19.31 31.71 68.90

21.11 34.66 75.30

22.98 37.73 81.99

24.94 40.94 88.97

26.97 44.29 96.23

29.09 47.76 103.7731.28 51.36 111.60

R5V


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1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358

-0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.2378

y = 1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358

0.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

0 1 2 3 4 5 6

Tc

S (fpm/1000)

8

8

y = -0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.23

0.00

10.00

20.00

30.00

40.00

50.00

60.00

0 1 2 3 4 5 6

Tc

S (fpm/1000)

RCP


24/39

-0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.0663

8

y = -0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.06

0.00

10.00

20.00

30.00

40.00

50.00

60.00

0 1 2 3 4 5 6

Tc

S (fpm/1000)

RCX


25/39

Wedge Band Super Vee-Band Gold Label Cog-Band

R3V R5V R8V RBP RCP RDP RBX RCX RDX

0.06 0.16 0.47 0.17 0.29 0.54 0.16 0.26 0.57

0.14 0.37 1.07 0.39 0.66 1.21 0.36 0.59 1.28

0.25 0.65 1.90 0.68 1.15 2.10 0.63 1.05 2.25

0.40 1.03 2.97 1.08 1.82 3.35 1.00 1.64 3.56

0.57 1.48 4.27 1.55 2.62 4.82 1.44 2.36 5.12

0.78 2.02 5.81 2.11 3.57 6.57 1.96 3.21 6.97

1.02 2.64 7.59 2.76 4.66 8.58 2.55 4.19 9.11

1.29 3.34 9.61 3.49 5.90 10.85 3.23 5.31 11.53

1.59 4.12 11.86 4.31 7.28 13.40 3.99 6.56 14.23

1.92 4.99 14.35 5.22 8.81 16.21 4.83 7.93 17.222.29 5.94 17.08 6.21 10.48 19.29 5.75 9.43 20.50

2.69 6.97 20.05 7.29 12.30 22.64 6.74 11.07 24.06

3.12 8.08 23.25 8.45 14.27 26.26 7.82 12.84 27.90

3.58 9.28 26.69 9.71 16.38 30.15 8.96 14.47 32.03

4.07 10.56 30.37 11.04 18.63 34.30 10.21 16.77 36.44

4.60 11.92 34.28 12.47 21.04 38.72 11.53 18.93 41.14

5.15 13.36 38.43 13.98 23.58 43.41 12.93 21.23 16.12

5.74 14.89 42.82 15.57 26.28 48.37 14.40 23.65 51.39

6.36 16.50 47.45 17.25 29.12 53.60 15.96 26.20 56.94

7.01 18.19 52.31 19.02 32.10 59.09 17.69 28.89 62.77

7.70 19.96 57.41 20.88 35.23 64.85 19.31 31.71 68.90

8.41 21.82 62.75 22.88 38.51 70.88 21.11 34.66 75.309.16 23.76 68.33 24.85 41.93 77.18 22.98 37.73 81.99

9.94 25.78 74.14 26.96 46.49 83.74 24.94 40.94 88.97

10.75 27.88 80.19 29.16 49.21 90.58 26.97 44.29 96.23

11.60 30.07 86.47 31.45 53.06 97.68 29.09 47.76 103.77

12.47 32.34 93.00 33.82 57.07 105.05 31.28 51.36 111.60

0052 y = 4E-05x4 - 0.0007x3 + 1.7472x2

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

Tc

8VX


26/39

Tc = 4E-05x4 - 0.0007x3 + 1.7472x2 - 0.0102x + 0.0062

7 80.00

0 1 2 3 4 5

S (fpm)/1000

0.0003

7 8

052

y = -3E-05x4 + 0.0003x3 + 0.9872xy = -3E-05x4 + 0.0003x3 + 0.9872x

0.00

10.00

20.00

30.00

40.00

50.00

60.00

Tc

CP or CK


27/39

Tc = -3E-05x4 + 0.0003x3 + 0.9872x2 - 0.0025x + 0.004

Tc =6E-05x4 - 0.0008x3 + 0.8921x2 - 0.0048x + 0.0014

S (fpm)/1000

8

y = 6E-05x4 - 0.0008x3 + 0.89

0.00

5.00

10.0015.00

20.00

25.00

30.00

35.00

40.00

45.00

50.00

0 1 2 3 4 5

Tc

S (fpm)/1000

C or CX


28/39

R8V


29/39

-2E-07x4 + 1E-05x3 + 0.1184x2 + 0.2386x + 0.1165

9E-05x4 - 0.0013x3 + 2.1499x2 - 0.0089x - 0.0016

7 8

y = -2E-07x4 + 1E-05x3 + 0.1184x2 + 0.23

0.00

20.00

40.00

60.00

80.00

100.00

120.00

0 5 10 15 20

Tc

S (fpm/1000)

8

7 8

y = 9E-05x4 - 0.0013x3 + 2.1499x2 - 0.

0.00

20.00

40.00

60.00

80.00

100.00

120.00

0 1 2 3 4 5

Tc

S (fpm/1000)

RDP


30/39

0.0001x4 - 0.0018x3 + 2.2864x2 - 0.0139x + 0.0006

63

7 8

y = 0.0001x4 - 0.0018x3 + 2.2864x2 - 0.

0.00

20.00

40.00

60.00

80.00

100.00

120.00

0 1 2 3 4 5

Tc

S (fpm/1000)

RDX


31/39


32/39

6 7 8

2 - 0.0025x + 0.00452 - 0.0025x + 0.0045

y = 4E-05x4 - 0.0

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00

0 1 2 3

T

c

DP


33/39

Tc =4E-05x4 - 0.0007x3 + 1.8715x2 - 0.0081

Tc 0.0001x4 - 0.0017x3 + 1.9923x2 -

S (

1x2 - 0.0048x + 0.0014

6 7 8

y = 0.0001x4

0.00

20.00

40.00

60.00

80.00

100.00

120.00

0 1 2 3

Tc

S

D or


34/39


35/39

6x + 0.1165

25 30

.0089x - 0.0016

6 7 8


36/39

139x + 0.0006

6 7 8


37/39


38/39

07x3 + 1.8715x2 - 0.0081x + 0.0057

4 5 6 7 8


39/39

+ 0.0057

0.0138x + 0.0079

(fpm)/1000

- 0.0017x3 + 1.9923x2 - 0.0138x + 0.0079

4 5 6 7 8

(fpm)/1000

X

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Copy of 102102122 Belt Tension