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8/12/2019 Bus Bar Working
1/7
Ampacities and Mechanical Properties ofRectangular Copper Bus Bars
The ampacity tables presented here are for rectangular bus bars of Copper No. 110whose surface condition is similar to that of busses at typical installations. Ampacities
were calculated using a nominal conductivity of 99% IACS and should also beapplicable to other coppers with the same electrical conductivity. Listed for 60 Hz attemperature rises of 30, 60, and 65 C ambient, they ere determined from accurateemissivity coefficients measured by calorimetriC techniques. The methods aredescribed in "Electrical Coils and Conductors", by H.B. Dwight (McGraw-HillPublishing Co., New York, 1945, Chapter 19).
Am p ac i t y Cal cu la t io n s- Accurate emissivity is essential because it isused to calculate the heat dissipated by radiation, a factor in the generalequation for ampacity:
where I is ampacity (amp), WR is heat dissipated by radiation (watts), WCis heat dissipated by natural convection (watts), and R is resistance (ohms)at operating temperature and 60 Hz.
Table 1. Ampacities of Copper No. 110 Bus Bars- Ampacities in this table are forbus bars having an emissivity of 0.4.
This was observed on samples exposed for 60 days in an industrial environment, and itis probably identical to that of bus bars in service.
Direct-current ampacities may differ from AC ampacities because of AC skin effect:
where I DC is DC ampacity at 60 Hz (amp), and S is the skin effect ratio at 60 Hz.
Table 2. Mechanical Properties of Copper No. 110 Bus Bars- This table listsproperties useful in calculating such characteristics as stiffness and deflection that areoften required by designers of bus bar systems.
Table 3. Quick Bus Bar Selector- Knowing the ampacity, designers and estimatorscan get the approximate bus bar size. Ampacity of the bus bar selected must then beverified by checking table 1.
Table 4. Effect of Emissivity and Number of Busses on Ampacity- Data here showhow higher emissivities improve ampacity. Multiple busses also affect ampacity in anonlinear relationship. Ampacity may be raised by increasing heat dissipation throughthe use of convection cooling or surface treatments. Surface treatments whichemissivity are available.
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Table 1. Ampacities of Copper No. 110Bus Bars
Dimensions,
In.
Area
WeightPer
Foot,Lb
DCResistanceat 20 C,Microhms
Per Ft
30 C Rise 50 C Rise 65 C Rise
SquareIn.
CircularMils,
Thousands
SkinEffectRatio
at70 C
60-HzAmpacity,*
Amp
SkinEffectRatio
at90 C
60-HzAmpacity,*
Amp
SkinEffect
Ratioat
105C
60-HzAmpacity,*
Amp
1/16 x 1/21/16 x 3/41/16 x 1
1/16 x 1 1/21/16 x 2
0.03120.04690.0625
0.09380.125
39.759.779.6
119159
0.1210.1810.241
0.3620.483
264.0175.0132.0
87.765.8
1.001.001.00
1.001.01
103145187
270345
1.001.001.00
1.001.01
136193250
355460
1.001.001.00
1.001.01
157225285
410530
1/8 x 1/21/8 x 3/41/8 x 1
1/8 x 1 1/21/8 x 21/8 x 2 1/2
1/8 x 31/8 x 3 1/21/8 x 4
0.06250.09380.125
0.1880.2500.312
0.3750.4380.500
79.6119159
239318397
477558636
0.2410.3620.483
0.7260.9661.21
1.451.691.93
132.087.765.8
43.832.926.4
21.918.816.5
1.001.001.01
1.011.021.02
1.031.041.04
153215270
385495600
710810910
1.001.001.01
1.011.021.02
1.031.031.04
205285360
510660800
9401,1001,200
1.001.001.01
1.011.021.02
1.031.031.04
235325415
590760920
1,1001,2501,400
3/16 x 1/23/16 x 3/4
3/16 x 13/16 x 1 1/23/16 x 2
3/16 x 2 1/23/16 x 33/16 x 3 1/2
3/16 x 4
0.09380.141
0.1880.2810.375
0.4690.5620.656
0.750
119179
239358477
597715835
955
0.3620.545
0.7261.091.45
1.812.172.53
2.90
87.758.4
43.829.321.9
17.514.612.5
11.0
1.001.01
1.011.021.03
1.041.051.07
1.09
195270
340480610
740870990
1,100
1.001.01
1.011.021.03
1.041.051.06
1.08
260360
455630810
9801,1501,300
1,450
1.001.01
1.011.021.03
1.031.041.06
1.07
300415
520730940
1,1501,3501,500
1,700
1/4 x 1/2
1/4 x 3/41/4 x 1
1/4 x 1 1/21/4 x 21/4 x 2 1/21/4 x 31/4 x 3 1/2
1/4 x 41/4 x 51/4 x 6
1/4 x 81/4 x 101/4 x 12
0.125
0.1880.250
0.3750.5000.6250.7500.875
1.001.251.50
2.002.503.00
159
239318
477637796955
1,110
1,2701,5901,910
2,5503,1803,820
0.483
0.7260.966
1.451.932.412.903.38
3.864.835.80
7.739.66
11.6
65.8
43.832.9
21.916.513.211.0
9.40
8.236.585.49
4.113.292.74
1.01
1.011.02
1.031.041.061.081.10
1.121.161.18
1.231.271.31
240
320400
560710850990
1,150
1,2501,5001,750
2,2502,7003,150
1.01
1.011.02
1.031.041.061.081.09
1.111.151.17
1.221.261.30
315
425530
740940
1,1501,3001,500
1,7002,0002,350
3,0003,6004,200
1.01
1.011.02
1.031.041.061.071.09
1.101.141.17
1.211.251.28
360
490620
8601,1001,3001,5501,750
1,9502,3502,700
3,4504,2004,900
3/8 x 3/43/8 x 1
3/8 x 1 1/23/8 x 23/8 x 2 1/2
3/8 x 33/8 x 3 1/23/8 x 4
3/8 x 53/8 x 63/8 x 8
3/8 x 103/8 x 12
0.2810.375
0.5620.7500.938
1.121.311.50
1.882.253.00
3.754.50
358477
715955
1,190
1,4301,6701,910
2,3902,8603,820
4,7705,730
1.091.45
2.172.903.62
4.355.065.80
7.268.69
11.6
14.517.4
29.321.9
14.611.0
8.77
7.356.285.49
4.383.662.74
2.191.83
1.021.03
1.051.081.12
1.151.181.20
1.241.271.33
1.381.42
415510
710880
1,050
1,2001,3501,500
1,8002,1002,650
3,2003,700
1.021.03
1.041.081.10
1.141.161.19
1.231.261.31
1.361.40
550680
9401,1501,400
1,6001,8002,000
2,4002,8003,550
4,3005,000
1.021.03
1.041.071.09
1.131.151.18
1.221.241.30
1.351.38
630790
1,1001,3501,600
1,8502,1002,350
2,8003,2504,100
4,9005,800
1/2 x 11/2 x 1 1/21/2 x 2
1/2 x 2 1/21/2 x 31/2 x 3 1/2
1/2 x 41/2 x 5
1/2 x 61/2 x 8
1/2 x 101/2 x 12
0.5000.7501.00
1.251.501.75
2.002.50
3.004.00
5.006 00
637955
1,270
1,5901,9102,230
2,5503,180
3,8205,090
6,3607 640
1.932.903.86
4.835.806.76
7.739.66
11.615.5
19.323 2
16.511.0
8.23
6.585.494.70
4.113.29
2.742.06
1.651 37
1.041.081.12
1.161.201.24
1.261.32
1.361.42
1.471 52
620830
1,000
1,2001,4001,550
1,7002,050
2,4003,000
3,6004 200
1.041.081.11
1.151.191.22
1.251.30
1.341.40
1.451 51
8201,1001,350
1,6001,8502,100
2,3002,750
3,1504,000
4,8005 600
1.041.071.10
1.141.181.21
1.241.29
1.331.39
1.441 50
9401,2501,550
1,8502,1502,400
2,6503,150
3,6504,600
5,5006 400
8/12/2019 Bus Bar Working
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Table 2. Mechanical Properties of CopperNo. 110 Bus Bars
Dimensions,In.
Area
WeightPer
Foot,
Lb
Horizontal Axis Vertical Axis
YieldLoad,*
Lb
Square
In.
Circular
Mils,Thous.
Momentof
InertiaIn.4
SectionModulus,
In.3
Radiusof
GyrationIn.
Momentof
InertiaIn.4
SectionModulus,
In.3
Radiusof
GyrationIn.
1/16 x 1/21/16 x 3/4
1/16 x 11/16 x 1 1/21/16 x 2
0.03120.0469
0.06250.09380.125
39.759.7
79.6119159
0.121 0.181
0.241 0.362 0.483
0.000651 0.00220
0.00521 0.0176 0.0417
0.000260 0.00586
0.0104 0.0234 0.0417
0.1440.217
0.2890.4330.577
0.00001020.0000153
0.00002030.00003050.0000407
0.0003260.000488
0.0006510.0009770.00130
0.01800.0180
0.01800.01800.0180
7801,170
1,5602,3403,120
1/8 x 1/21/8 x 3/41/8 x 1
1/8 x 1 1/21/8 x 21/8 x 2 1/2
1/8 x 31/8 x 3 1/21/8 x 4
0.06250.09380.125
0.1880.2500.312
0.3750.4380.500
79.6119159
239318397
477558636
0.241 0.362 0.483
0.726 0.966 1.21
1.45 1.69 1.93
0.00130 0.00440 0.0104
0.0352 0.0833 0.163
0.281 0.447 0.667
0.00521 0.0117 0.0208
0.0469 0.0833 0.130
0.188 0.255 0.333
0.1440.2170.289
0.4330.5770.722
0.8661.011.16
0.00008140.0001220.000163
0.0002440.0003260.000407
0.0004880.0005700.000651
0.001300.001950.00260
0.003910.005210.00651
0.007810.009120.0104
0.03610.03610.0361
0.03610.03610.0361
0.03610.03610.0361
1,5602,3403,120
4,6906,2507,810
9,38010,94012,500
3/16 x 1/23/16 x 3/4
3/16 x 13/16 x 1 1/23/16 x 2
3/16 x 2 1/23/16 x 33/16 x 3 1/2
3/16 x 4
0.09380.141
0.1880.2810.375
0.4690.5620.656
0.750
119179
239358477
597715835
955
0.362 0.545
0.726 1.09 1.45
1.81 2.17 2.53
2.90
0.00195 0.00659
0.0156 0.0527 0.125
0.244 0.422 0.670
1.00
0.00781 0.0176
0.0312 0.0703 0.125
0.195 0.281 0.383
0.500
0.1440.217
0.2890.4330.577
0.7220.8661.01
1.16
0.0002750.000412
0.0005490.0008240.00110
0.001370.001650.00192
0.00220
0.002930.00440
0.005860.008790.0117
0.01460.01760.0205
0.0234
0.05410.0541
0.05410.05410.0541
0.05410.05410.0541
0.0541
2,3403,520
4,6907,0319,380
11,70014,10016,400
18,800
1/4 x 1/2
1/4 x 3/41/4 x 11/4 x 1 1/2
1/4 x 21/4 x 2 1/21/4 x 3
1/4 x 3 1/21/4 x 41/4 x 5
1/4 x 61/4 x 81/4 x 101/4 x 12
0.125
0.1880.2500.375
0.5000.6250.750
0.8751.001.25
1.502.002.503.00
159
239318477
637796955
1,1101,2701,590
1,9102,5503,1803,820
0.483
0.726 0.966 1.45
1.93 2.41 2.90
3.38 3.86 4.83
5.80 7.73 9.6611.6
0.00260
0.00879 0.0208 0.0703
0.167 0.326 0.562
0.893 1.33 2.60
4.5010.720.836.0
0.0104
0.0234 0.0417 0.0938
0.167 0.260 0.375
0.510 1.667 1.04
1.50 2.67 4.17 6.00
0.144
0.2170.2890.433
0.5770.7220.866
1.011.161.44
1.732.312.893.46
0.000651
0.0009770.001300.00195
0.002600.003260.00391
0.004560.005210.00651
0.007810.001040.01300.0156
0.00521
0.007810.01040.0156
0.02080.02600.0312
0.03650.04170.0521
0.06250.08330.1040.125
0.0722
0.07220.07220.0722
0.07220.07220.0722
0.07220.07220.0722
0.07220.07220.07220.0722
3,120
4,6906,2509,380
12,50015,60018,800
21,90025,00031,200
37,50050,00062,50075,000
3/8 x 3/43/8 x 1
3/8 x 1 1/23/8 x 23/8 x 2 1/2
3/8 x 33/8 x 3 1/23/8 x 4
3/8 x 53/8 x 63/8 x 8
3/8 x 103/8 x 12
0.2810.375
0.5620.7500.938
1.121.311.50
1.882.253.00
3.754.50
358477
715955
1,190
1,4301,6701,910
2,3902,8603,820
4,7705,730
1.09 1.45
2.17 2.90 3.62
4.35 5.06 5.80
7.26 8.6911.6
14.517.4
0.0132 0.0312
0.105 0.250 0.488
0.844 1.34 2.00
3.91 6.7516.0
31.254.0
0.0352 0.0625
0.141 0.250 0.391
0.562 0.766 1.00
1.56 2.25 4.00
6.25 9.00
0.2170.289
0.4330.5770.722
0.8661.011.16
1.441.732.31
2.893.46
0.003300.00439
0.006590.008790.0110
0.01320.01540.0176
0.02200.02640.0352
0.04390.0527
0.01760.0234
0.03520.04690.0586
0.07030.08200.0938
0.1170.1410.188
0.2340.281
0.1080.108
0.1080.1080.108
0.1080.1080.108
0.1080.1080.108
0.1080.108
7,0309,380
14,10018,80023,400
28,10032,80037,500
46,90056,20075,000
93,800112,000
1/2 x 11/2 x 1 1/21/2 x 2
1/2 x 2 1/21/2 x 31/2 x 3 1/2
1/2 x 41/2 x 51/2 x 6
1/2 x 81/2 x 101/2 x 12
0.5000.7501.00
1.251.501.75
2.002.503.00
4.005.006.00
637955
1,270
1,5901,9102,230
2,5503,1803,820
5,0906,3607,640
1.93 2.90 3.86
4.83 5.80 6.76
7.73 9.6611.6
15.519.323.2
0.0417 0.0141 0.0333
0.0651 1.12 1.79
2.67 5.21 9.00
21.3 41.7 72.0
0.0833 0.188 0.333
0.521 0.750 1.02
1.33 2.08 3.00
5.33 8.3312.0
0.2890.4330.577
0.7220.8661.01
1.161.441.73
2.312.893.46
0.01040.01560.0208
0.02600.03120.0365
0.04170.05210.0625
0.08330.1040.125
0.04170.06250.0833
0.1040.1250.146
0.1670.2080.250
0.3330.4170.500
0.1440.1440.144
0.1440.1440.144
0.1440.1440.144
0.1440.1440.144
9,00013,50018,000
22,50027,00031,500
36,00045,00054,000
72,00090,000
108,000
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Table 3. Quick Bus Bar Size Selector
RequiredAmpacity,*
(Range)Amp
Bus Bar Dimentions, In.**
30 C Rise 50 C Rise 65 C Rise
100 (100-149) 1/16x1/2,1/16x3/4 1/16x1/2
150 (150-199)
1/16x11/8x1/2
3/16x1/2
1/16x3/4
1/16x1/2
200 (200-249) 1/8x3/4
1/4x1/2
1/8x1/2
1/16x3/41/8x1/2
250 (250-299)
1/16x1 1/21/8x13/16x3/4
1/16x11/8x3/43/16x1/2
1/16x1
300 (300-349)
1/16x2
3/16x1
1/4x3/4
1/4x1/2
1/8x3/43/16x1/2
350 (350-399) 1/8x1 1/2
1/16x1 1/21/8x13/16x3/4 1/4x1/2
400 (400-449)
1/4x3/43/8x3/4
1/4x3/4 1/4x1/2
400 (400-449)
1/4x13/8x3/4
1/4x3/4
1/16x1 1/21/8x13/16x3/4
450 (450-499)
1/8x23/16x1/2
1/16x2
3/16x1 1/4x3/4
500 (500-599)
1/4x1 1/23/8x1
1/8x1 1/2
1/4x13/8x3/4
1/16x21/8x1 1/23/16x1
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600 (600-699)
1/8x2 1/23/16x2
1/2x1
1/2x1
1/8x23/16x1 1/2
1/4x1
1/4x1
3/8x3/4
700 (700-799) 1/8x33/16x2 1/21/4x23/8x1 1/2
1/4x1 1/2
1/8x23/16x1 1/23/8x1
800 (800-899)
1/8x3 1/2
3/16x31/4x2 1/23/8x2
1/8x2 1/2
3/16x2
1/2x1
1/4x1 1/2
900 (900-999)
1/8x43/16x3 1/2
1/4x3
1/8x33/16x2 1/2
1/4x2
3/8x1 1/2
1/8x2 1/2
1/2x1
1000 (1000-1249)
3/16x41/4x3 1/2
3/8x2 1/2, 3/8x31/2x2, 1/2x2 1/2
1/8x4
3/16x31/4x2 1/2
3/8x2
1/8x3
3/16x2 1/21/4x2
3/8x1 1/2
1250 (1250-1499)
1/4x4
3/8x3 1/21/2x3
3/16x3 1/2,
3/16x41/4x3
3/8x2 1/2
1/2x2
1/8x4
3/16x31/4x2 1/2
3/8x2
1500 (1500-1749) 1/4x5
3/8x4
1/2x3 1/2, 1/2x4
1/4x3 1/2,
1/4x43/8x3
1/2x2 1/2
3/16x3 1/2,3/16x4
1/4x33/8x2 1/2
1/2x2
1750 (1750-1999)
1/4x63/8x5
3/8x3 1/21/2x3
1/4x3 1/2,1/4x43/8x31/2x2 1/2
2000 (2000-2499)
1/4x8
3/8x61/2x5, 1/2x63/4x4, 3/4x5
1/4x6
3/8x51/2x4
1/4x5
3/8x41/2x3 1/2
2500 (2500-2999)
1/4x103/8x8
3/4x6
3/8x61/2x5
3/4x4
1/4x63/8x51/2x4
3000 (3000-3499)
1/4x123/8x10
1/2x8
1/4x8
1/2x63/4x5
1/4x83/8x6
1/2x53/4x4
RequiredAmpacity,*
(Range)Amp
Bus Bar Dimentions, In.**
30 C Rise 50 C Rise 65 C Rise
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Table 4. Effect of Emissivity and Number ofBusses on Ampacity
Numberof
1/4x4
in.Busses*
Ampacity, Amp
30 C Rise 50 C Rise 65 C Rise
Emissivity Emissivity Emissivity
0.15 0.4 0.7 0.9 0.15 0.4 0.7 0.9 0.15 0.4 0.7 0.9
1 1100 1250 1400 1600 1500 1700 1900 2000 1700 1950 2200 2300
2 1900 2050 2200 2300 2550 2750 2950 3100 2950 3200 3400 3600
3 2500 2700 2850 3000 3400 3600 3850 4000 3950 4200 4500 4600
4 3100 3300 3450 3600 4200 4400 4700 4800 4900 5100 5400 5600
* 1/4 in. spacing. Ampacities of bus bar systems of other configurations must becalculated, taking into account size, spacing, number of bus bars and overallskin-effect ratio.