The tension of attached wires to structures are the major loads the structures are required to support, under a variety of load cases. As such, any deviation from expected norms for tensions will have a significant effect on calculated single and multi-structure analysis results. Their resulting sags under various load cases are also key in meeting clearance to ground and mid-span separation requirements in the respective code and utility standards. So both Sags and Tensions should be evaluated in a comparable manner under a very wide range of scenarios. To meet code and utility standard requirements, each span of wires attached to a structure needs to be assessed under any load case that may have an impact. All wires are assumed to have nonlinear material characteristics. Wire states such as birdcaging, will also come into play for wires composed of more than one material.


The main objective of this section is to confirm that the software respects the various material behaviors starting with the initial installation, after maximum loading, followed by the relaxing of loads under Thermal conditions; plus confirm proper operation of Creep behavior under average day temperatures. This concept is depicted in the example below:



In addition to calculating static loads for specific weather load cases (including wind direction), it is also important to assess changes when the attached structures deflect. This is important in Multi-Pole analysis and Load Nonlinearity generally.


Evaluation tests should include:

  1. Values for:
    1. Tension at both support structures
    2. Horizontal tension
    3. Line of sight sag
    4. Vertical sag (sag below lowest attachment support)
    5. Horizontal and vertical loads per meter on the wire.
    6. Effective bundle diameter
    7. Unstretched length (where possible)
      1. For software that cannot do this, a value for it will be set and provided for the software to generate the other required test results.
  2. Weather loads that test wire 
    1. stretching behavior with different possible loads in the vertical and transverse planes. 
      1. 400 pascals wind pressure
      2. 12.5mm radial ice accretion
      3. Ice Density=900 kg/m3
    2. Line of Sight and Vertical Sags will be collected for sag comparisons
    3. Thermal condition (100C)
  3. Level spans of varied lengths
    1. 20 m
    2. 40 m
    3. 60 m
    4. 80 m
    5. 100 m
    6. 120 m
    7. 140 m
    8. 160 m
    9. 180 m
    10. 200 m
    11. 400 m
    12. 600 m
    13. 800 m
    14. 1000 m
    15. 1500 m
    16. 2000 m
  4. Unlevel spans
    1. 100m fixed Span Length (horizontal distance)
    2. varied elevation changes
      1. 0 m (for reference purposes)
      2. 5 m
      3. 10 m
      4. 20 m
      5. 30 m
      6. 40 m
      7. 50 m
      8. 100 m
      9. 200 m
    3. measure both upper and lower attachment point tensions plus sags described above
  5. Observance of any birdcaging effects for multi-material wires and what temperature they occurred. Increments of 10C temperature increments are recommended.
    1. If birdcaging criteria is modifiable, test at different values than default to ensure change is respected. Otherwise state values used and justification.
  6. Wire types:
    1. All aluminum
      1. 566.5 Dahlia AAC
      2. 336.4 Tulip ASC
      3. 4/0 Oxlip AAC
      4. 1/0 Poppy AAC
    2. Aluminum and Steel
      1. 795 Drake ACSR
      2. 477 Hawk
      3. 4/0 Penguin ACSR
      4. 3/0 Pigeon ACSR
      5. 1/0 Raven ACSR
      6. #2 Sparrow AW 6/1
    3. Multiplex wires
      1. #2 ACSR Triplex (Clam)
      2. 1/0 ACSR Triplex (Ranella)
      3. 4/0 ACSRcQuadruplex (Stallion)
    4. Copper
      1. 750 kcmil 37 strands
      2. 4/0 7 strands
      3. 1/0 7 strands
      4. #6 7 strands
    5. Steel
      1. 3/16 inch 7 Strands Grades HS,EHS
      2. 1/4 inch 7 Strands Grades HS,EHS
      3. 3/8 inch 7 Strands Grades HS,EHS
      4. 1/2 inch 7 Strands Grades HS,EHS
      5. 3/4 inch 19 Strands Grades HS,EHS
    6. Figure 8 Communication Cables (The messenger/strand is mechanically bonded to a communications cable using extruded PVC.)
      1. Corning Figure-8 (Non-Armoured) 2-72 Fibres, 1/4 inch EHS 7 Strands  Steel 
        1. Wire mass=0.296kg/m
        2. Strength=29581N
        3. Diameter=22.1mm
        4. Cross sectional area=22.71mm2
        5. Thermal exp. 1.152e-3
        6. Final Modulus=1723.69 MPa/100
        7. Stress polynomials= 11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
        8. Creep Polynomials=11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
      2. Corning Figure-8 (Armoured) 73-96 Fibres, 1/4 inch EHS 7 Strands  Steel
        1. Wire mass=0.432kg/m
        2. Strength=29581N
        3. Diameter=27.69mm
        4. Cross sectional area=22.71mm2
        5. Thermal exp. 1.152e-3
        6. Final Modulus=1723.69 MPa/100
        7. Stress polynomials= 11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
        8. Creep Polynomials=11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
      3. Corning Figure-8 Copper 200 Pairs 24 gauge, 1/4 inch EHS 7 Strands  Steel
        1. Wire mass=1.302 kg/m
        2. Strength=29581N
        3. Diameter=40.64mm
        4. Cross sectional area=22.71mm2
        5. Thermal exp. 1.152e-3
        6. Final Modulus=1723.69 MPa/100
        7. Stress polynomials= 11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
        8. Creep Polynomials=11.23,1283.33,1967.34,-4414.84,2343.4 MPa/100
    7. Dielectric cables with a fiberglass core messenger (e.g. Kevlar yarn)
      1. ADSS cable from AFL AE2889CO31BA5
        1. Wire mass=0.393kg/m
        2. Strength=24225N
        3. Diameter=22.61mm
        4. Cross sectional area=401.16mm2
        5. Thermal exp. 2.9069e-3
        6. Final Modulus=32.2 MPa/100
        7. Stress polynomials= 0.0, 29.83, 0.0,0.0,0.0
        8. Creep Polynomials=0.0,24.86,0.0,0.0,0.0
      2. ADSS cable from Corning 2-72 Fibre SOLO Short Span Single Jacket Self Supporting, Kevlar Messenger 072EN4-T3S00A20
        1. Wire mass=0.092 kg/m
        2. Strength=3963 N
        3. Diameter=10.9 mm
        4. Cross sectional area=401.16mm2
        5. Thermal exp. 2.3724E-4 m/m/C
        6. Final Modulus=51.12 MPa/100
        7. Stress polynomials= -0.36, 51.12, 0.0,0.0,0.0
        8. Creep Polynomials=-1.08,51.12,0.0,0.0,0.0
      3. ADSS cable from Corning 73-96 Fibre SOLO Dual Jacket (Span Code F)Self Supporting, Kevlar Messenger 096EAE-T3F01A20
        1. Wire mass=0.247 kg/m
        2. Strength=32063 N
        3. Diameter=18.39 mm
        4. Cross sectional area= 264.52 mm2
        5. Thermal exp. 2.8692E-4 m/m/C
        6. Final Modulus=140.04 MPa/100
        7. Stress polynomials= -11.07, 140.04, 0.0,0.0,0.0
        8. Creep Polynomials=-22.14,140.04,0.0,0.0,0.0
      4. ADSS cable from Corning 240-288 Fibre SOLO Dual Jacket (Span Code E)Self Supporting, Kevlar Messenger 288EAE-T3E01A20
        1. Wire mass=0.46 kg/m
        2. Strength=44949 N
        3. Diameter=25.3 mm
        4. Cross sectional area= 503.22 mm2
        5. Thermal exp. 2.3976E-4 m/m/C
        6. Final Modulus=92.59 MPa/100
        7. Stress polynomials= -6.58, 92.59, 0.0,0.0,0.0
        8. Creep Polynomials=-13.16,92.59,0.0,0.0,0.0
    8. Different Wire Configurations
    9. Spaced Aerial Cable tests using one wire type.
    10. Standard Communication Bundles
  7. Wire states:
    1. Initial
    2. Final after Creep
      1. Average day temperature for creep should be 5C and 20C. 
      2. Maximum weather load from the Initial state tests
      3. Test 100C Thermal condition
    3. Final after Load. This test will ensure, for each wire type, that the wires will perform correctly under different loads and different permanent strain conditions in each of the materials used in the wires.
      1. Test 100C Thermal condition after maximum weather load from the Initial state tests


  1. Structure Movement
    1. To ensure that multi-pole scenarios using Load Nonlinearity will be calculated properly, each wire/cable under the above scenarios, after maximum weather load, should be recalculated under structure movement scenarios. Since each model may be oriented differently, the below suggestions should be adequately tests.
      1. X dir - 1.0m
      2. Y dir - 1.0m
      3. Z dir - 1.0m


To properly evaluate Sag & Tension calculations, some details need to be taken into account. The software needs to model all wires/messengers in a way that they are typically installed, assuming new material. When wires are installed and sagged in one operation in a line section of several equal or unequal, level or unlevel spans, the structures between the dead-ends of the stringing section support the wire with stringing sheaves or blocks or loose hardware clamps, that permits the wire to move freely between spans. Once the wire’s tension is set to the desired value, the conductor is secured to its supporting insulator or connection hardware. This fixes the amount of wire used between the structure supports under initial stringing conditions (Unstretched Length). Software will need to be configured to respect this assumption. Scenarios for testing existing wire that has already seen load events or time, is out of scope for this document. 


For sag-tension calculation for communication cables, the exact same procedure needs to be followed as for conductors, for the messenger alone. After the messenger unstretched length is fixed, the communication cables get lashed onto the messenger. All loadcases are calculated, and wire stretch scenarios are calculated using this additional cable weight and larger bundle diameter. This is representative of how communication cables are strung in the field. 


The tension settings sugested so that results can be compared between software are listed as follows for level span tests and unlevel span tests. While most of the shorter span length tests use a consistent tension value, higher span length tests needed higher tensions to properly suspend the wire/cable in the span.

For ADSS type wires/cables, the default tension is usually defined as %sag, whereas other wires are usually %RTS.



Wire Stringing Tensions(N) by Span Lengths(m) for Level Span Tests @ 15°C

WIRE_DESCR

20

40

60

80

100

120

140

160

180

200

400

600

800

1000

1500

2000

556.5 kcmil 19/0 Strands DAHLIA AAC 

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

6011

7513

11270

15027

336.4 kcmil 19/0 Strands TULIP AAC 

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

6011

7513

11270

15027

4 /O AWG 7/0 Strands OXLIP AAC 

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

6011

7513

11270

15027

1 /O AWG 7/0 Strands POPPY AAC 

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

4337

6011

7513

11270

15027

795 kcmil 26/7 Strands DRAKE ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

477 kcmil 26/7 Strands HAWK ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

4 /O AWG 6/1 Strands PENGUIN ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

3 /O AWG 6/1 Strands PIGEON ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

1 /O AWG 6/1 Strands RAVEN ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

2 AWG 6/1 Strands SPARROW ACSR 

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

14011

23617

31489

750 kcmil 37 Strands  Copper 

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

26670

33338

50008

66677

4 /O AWG 7 Strands  Copper 

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

26670

33338

50008

66677

1 /O AWG 7 Strands  Copper 

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

26670

33338

50008

66677

6 AWG 7 Strands  Copper 

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

22285

26670

33338

50008

66677

#2 AWG Triplex #2 AWG 1350 Neutral 0.76 inches POLY CLAM Multiplex 

900

900

900

900

900

900

900

900

900

900

1335

2003

2671

3338

5008

6677

1/0 AWG Triplex #2 AWG ACSR Neutral 0.96 inches POLY RANELLA Multiplex 

900

900

900

900

900

900

900

900

900

900

2083

3125

4167

5209

7814

10419

4/0 AWG Quadraplex 4/0 AWG ACSR Neutral 1.48 inches POLY STALLION Multiplex 

900

900

900

1212

1515

7465

7796

8131

8470

8814

12501

16682

21443

26918

45130

74422

3/4 inch HS 19 Strands  Steel 

36297

72596

72598

72600

72604

72608

72613

72619

72626

72633

72751

72947

73222

73577

74818

76579

3/4 inch EHS 19 Strands  Steel 

51866

103733

103734

103736

103739

103742

103745

103749

103754

103759

103841

103978

104171

104418

105280

106495

1/2 inch HS 7 Strands  Steel 

28357

28357

28357

56715

56716

56717

56718

56720

56722

56724

56754

56804

56874

56965

57280

57723

1/2 inch EHS 7 Strands  Steel 

28357

28357

28357

56715

56716

56717

56718

56720

56722

56724

56754

56804

56874

56965

57280

57723

3/8 inch HS 7 Strands  Steel 

9341

9341

18683

18683

18684

18685

18686

18687

18689

18690

18716

18759

18818

18895

19164

19545

3/8 inch EHS 7 Strands  Steel 

9341

9341

18683

18683

18684

18685

18686

18687

18689

18690

18716

18759

18818

18895

19164

19545

1/4 inch HS 7 Strands  Steel 

4893

4893

4893

4893

4893

9787

9787

9788

9788

9789

9798

9814

9837

9866

9966

10108

1/4 inch EHS 7 Strands  Steel 

4893

4893

4893

4893

4893

9787

9787

9788

9788

9789

9798

9814

9837

9866

9966

10108

3/16 inch HS 7 Strands  Steel 

2535

2535

2535

2535

5071

5071

5071

5071

5072

5072

5079

5090

5106

5126

5197

5297

3/16 inch EHS 7 Strands  Steel 

3549

3549

3549

3549

7099

7099

7099

7099

7099

7100

7105

7113

7124

7138

7188

7259

Figure-8 (Non-Armoured) 2-72 Fibres, 1/4 inch EHS 7 Strands  Steel

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

Figure-8 (Armoured) 73-96 Fibres, 1/4 inch EHS 7 Strands  Steel

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

8347

Figure-8 Copper 200 Pairs 24 gauge, 1/4 inch EHS 7 Strands  Steel

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

5916

7555

10074

12592

18889

25185

AFL ADSS AE2889CO31BA5

964

1928

2892

3856

4820

5784

6748

7713

8677

9641

19282

28924

38565

48207

72310

96414

2-72 Fibre SOLO Short Span Single Jacket Self Supporting, Kevlar Messenger 072EN4-T3S00A20

226

452

679

905

1132

1358

1584

1811

2037

2264

4528

6792

9056

11320

16981

22641

73-96 Fibre SOLO Dual Jacket (Span Code F)Self Supporting, Kevlar Messenger 096EAE-T3F01A20

606

1212

1818

2424

3031

3637

4243

4849

5455

6062

12124

18186

24248

30310

45465

60621

240-288 Fibre SOLO Dual Jacket (Span Code E)Self Supporting, Kevlar Messenger 288EAE-T3E01A20

1128

2256

3385

4513

5642

6770

7899

9027

10155

11284

22568

33852

45137

56421

84632

112843

Bundle #1 052/266.8

27249

27249

27250

27251

27252

27254

27256

27258

27260

27263

27308

27382

27487

27622

28093

28762

336.4  TULIP AAC - Twisted Pair

16414

16416

16420

16425

16432

16441

16451

16463

16476

16491

16727

17128

17705

18474

24101

33461

336.4  TULIP AAC - Twin Horiz

16414

16417

16421

16428

16437

16447

16460

16474

16490

16508

16798

17292

18007

18969

25398

36276

336.4  TULIP AAC - Twin Vert

16414

16417

16421

16428

16437

16447

16460

16474

16490

16508

16798

17292

18007

18969

25398

36276

336.4  TULIP AAC - Triangle

19150

19154

19161

19170

19182

19197

19214

19234

19257

19283

19689

20382

21383

26393

38866

54851

336.4  TULIP AAC - Square

21886

21891

21900

21912

21927

21946

21969

21995

22024

22057

22581

23473

29145

34702

50900

71537

336.4  TULIP AAC - Diamond

21886

21891

21900

21912

21927

21946

21969

21995

22024

22057

22581

23473

29145

34702

50900

71537

336.4  TULIP AAC - Hexagon

27358

27365

27376

27393

27414

27439

27470

27505

27545

27589

28297

34930

42118

49884

72306

100383

336.4  TULIP AAC - Octagon

32830

32840

32856

32879

32909

32945

32988

33037

33093

33155

38148

47310

57220

67951

99081

138396



Wire Stringing Tensions(N) for 100m Span by Elevation Differences(m) @ 15°C. Tension measured at the higher elevation attachment point

WIRE_DESCR

0

5

10

20

40

30

50

100

200

556.5 kcmil 19/0 Strands DAHLIA AAC 

8674

8674

8674

8674

8674

8674

8674

8674

8674

336.4 kcmil 19/0 Strands TULIP AAC 

8674

8674

8674

8674

8674

8674

8674

8674

8674

4 /O AWG 7/0 Strands OXLIP AAC 

8674

8674

8674

8674

8674

8674

8674

8674

8674

1 /O AWG 7/0 Strands POPPY AAC 

8674

8674

8674

8674

8674

8674

8674

8674

8674

795 kcmil 26/7 Strands DRAKE ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

477 kcmil 26/7 Strands HAWK ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

4 /O AWG 6/1 Strands PENGUIN ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

3 /O AWG 6/1 Strands PIGEON ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

1 /O AWG 6/1 Strands RAVEN ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

2 AWG 6/1 Strands SPARROW ACSR 

28022

28022

28022

28022

28022

28022

28022

28022

28022

750 kcmil 37 Strands  Copper 

44570

44570

44570

44570

44570

44570

44570

44570

44570

4 /O AWG 7 Strands  Copper 

44570

44570

44570

44570

44570

44570

44570

44570

44570

1 /O AWG 7 Strands  Copper 

44570

44570

44570

44570

44570

44570

44570

44570

44570

6 AWG 7 Strands  Copper 

44570

44570

44570

44570

44570

44570

44570

44570

44570

#2 AWG Triplex #2 AWG 1350 Neutral 0.76 inches POLY CLAM Multiplex 

1800

1800

1800

1800

1800

1800

1800

1800

2460

1/0 AWG Triplex #2 AWG ACSR Neutral 0.96 inches POLY RANELLA Multiplex 

1800

1800

1800

1800

1800

1800

1800

2230

3840

4/0 AWG Quadraplex 4/0 AWG ACSR Neutral 1.48 inches POLY STALLION Multiplex 

3030

3146

3270

3536

4152

3832

4496

6490

11172

3/4 inch HS 19 Strands  Steel 

72594

72594

72594

72594

72594

72594

72594

72594

72594

3/4 inch EHS 19 Strands  Steel 

103732

103732

103732

103732

103732

103732

103732

103732

103732

1/2 inch HS 7 Strands  Steel 

56714

56714

56714

56714

56714

56714

56714

56714

56714

1/2 inch EHS 7 Strands  Steel 

56714

56714

56714

56714

56714

56714

56714

56714

56714

3/8 inch HS 7 Strands  Steel 

18682

18682

18682

18682

18682

18682

18682

18682

18682

3/8 inch EHS 7 Strands  Steel 

18682

18682

18682

18682

18682

18682

18682

18682

18682

1/4 inch HS 7 Strands  Steel 

9786

9786

9786

9786

9786

9786

9786

9786

9786

1/4 inch EHS 7 Strands  Steel 

9786

9786

9786

9786

9786

9786

9786

9786

9786

3/16 inch HS 7 Strands  Steel 

5070

5070

5070

5070

5070

5070

5070

5070

5070

3/16 inch EHS 7 Strands  Steel 

7098

7098

7098

7098

7098

7098

7098

7098

7098

Figure-8 (Non-Armoured) 2-72 Fibres, 1/4 inch EHS 7 Strands  Steel

11832

11832

11832

11832

11832

11832

11832

11832

11832

Figure-8 (Armoured) 73-96 Fibres, 1/4 inch EHS 7 Strands  Steel

11832

11832

11832

11832

11832

11832

11832

11832

11832

Figure-8 Copper 200 Pairs 24 gauge, 1/4 inch EHS 7 Strands  Steel

11832

11832

11832

11832

11832

11832

11832

11832

11832

AFL ADSS AE2889CO31BA5

9640

3290

2162

1418

1060

1162

1482

1626

2800

2-72 Fibre SOLO Short Span Single Jacket Self Supporting, Kevlar Messenger 072EN4-T3S00A20

2264

772

508

332

248

272

348

382

656

73-96 Fibre SOLO Dual Jacket (Span Code F)Self Supporting, Kevlar Messenger 096EAE-T3F01A20

6062

2068

1360

892

666

730

932

1022

1760

240-288 Fibre SOLO Dual Jacket (Span Code E)Self Supporting, Kevlar Messenger 288EAE-T3E01A20

11284

3850

2532

1660

1240

1362

1736

1904

3278

Bundle #1 052/266.8

27248

27248

27248

27248

27248

27248

27248

27248

27248

336.4  TULIP AAC - Twisted Pair

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Twin Horiz

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Twin Vert

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Triangle

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Square

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Diamond

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Hexagon

21884

21884

21884

21884

21884

21884

21884

21884

21884

336.4  TULIP AAC - Octagon

21884

21884

21884

21884

21884

21884

21884

21884

27536