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  • 8/12/2019 Bus Bar Working

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    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.

  • 8/12/2019 Bus Bar Working

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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

    3/7

    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

  • 8/12/2019 Bus Bar Working

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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

  • 8/12/2019 Bus Bar Working

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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

  • 8/12/2019 Bus Bar Working

    6/7

  • 8/12/2019 Bus Bar Working

    7/7

    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.