Insulator swing & tensile strength

Calculate insulator chain swing angles for all load cases.
Line & span inputs
Class A: higher norm ice on bare conductors. Class B: lower norm ice on bare conductors. Overhead insulated: fixed 20 N/m norm ice; use overall diameter including insulation for wind and ice sleeve.
Selected line
Name: 910 mm² Al59
Area: 910 mm²
Dead weight: 2.52 kg/m
Diameter: 39.2 mm
Ei: 53000 MPa
Ep: 60000 MPa
SigmaE: 100 MPa
C: 140
epsC: 0.4
alfa: 23
Insulator & spans
User-defined load case (case 18)
Insulator ultimate tensile strength check (SS-EN 50341-2-18)

Per §10.7/SE.1 the design action Ed\htmlData{uts-var=Ed}{E_d} shall not exceed Rd=Fuk/γM\htmlData{uts-var=Rd}{R_d} = \htmlData{uts-var=Fuk}{F_{uk}}/\htmlData{uts-var=gammaM}{\gamma_M}.

Suspension

Ed=Fh2+Fv2\htmlData{uts-var=Ed}{E_d} = \sqrt{\htmlData{uts-var=Fh}{F_h}^2 + \htmlData{uts-var=Fv}{F_v}^2}
  • Fh=n(avqv+0.16KLqh+2sin ⁣(β2)Aσ)\htmlData{uts-var=Fh}{F_h} = \htmlData{uts-var=n}{n} \cdot (\htmlData{uts-var=av}{a_v} \htmlData{uts-var=qv}{q_v} + 0.16\,\htmlData{uts-var=KL}{K_L} \htmlData{uts-var=qh}{q_h} + 2\sin\!\left(\tfrac{\htmlData{uts-var=beta}{\beta}}{2}\right)\htmlData{uts-var=A}{ A }\htmlData{uts-var=sigma}{\sigma})
  • Fv=nav(qe+qis)+g(KV+TV)\htmlData{uts-var=Fv}{F_v} = \htmlData{uts-var=n}{n} \cdot \htmlData{uts-var=av}{a_v} \cdot (\htmlData{uts-var=qe}{q_e} + \htmlData{uts-var=qis}{q_{is}}) + \htmlData{uts-var=g}{g \cdot} (\htmlData{uts-var=KV}{K_V} + \htmlData{uts-var=TV}{T_V})

Tension

Ed=nAσ\htmlData{uts-var=Ed}{E_d} = \htmlData{uts-var=n}{n}\htmlData{uts-var=A}{ A }\htmlData{uts-var=sigma}{\sigma}

Required Fuk (suspension and tension)

Fuk=EdγM\htmlData{uts-var=Fuk}{F_{uk}} = \htmlData{uts-var=Ed}{E_d} \htmlData{uts-var=gammaM}{\gamma_M}
Governing case — suspension
Load case 3, A
wind direction +
Governing case — tension
Load case 3, A
Suspension
Ed [kN]
58.92
Min. Fuk Porcelain, glass or composite insulator (γM = 2.5) [kN]
147.30U210
Min. Fuk pin / line-post (γM = 2) [kN]
117.84U120
Tension
Ed [kN]
233.96
Min. Fuk Porcelain, glass or composite insulator (γM = 2.5) [kN]
584.902 strings · U300 per string
Min. Fuk pin / line-post (γM = 2) [kN]
467.922 strings · U300 per string
Results
Rows with the highest tension are tinted amber. 0°C still air (T.O.) (0°C — Still air, after creep) uses a blue cell tint. Export CSV or PDF to share.
CaseTemp [°C]σ [MPa]Tension [kN]Sag [m]Wind [N/m]Ice [N/m]Weight span av [m]qh [Pa]Transverse +Transverse −
Blow-out [°]Chain Δv [m]Chain Δh [m]Blow-out [°]Chain Δv [m]Chain Δh [m]
Load case H
Min temp, no wind, before creep
-40.058.31453.076.3450.000.00330.0000.0004.3000.000
Load case D
Min temp at wind, before creep
-20.053.49448.686.9189.800.00330.000500.0021.8793.9901.602-21.8793.990-1.602
Load case E
+15°C, 30% wind, before creep
15.041.84938.088.8452.940.00330.000150.006.8694.2690.514-6.8694.269-0.514
Load case 1a
0°C, bare, before creep
0.052.77548.027.01317.440.00330.000890.0035.5573.4982.500-35.5573.498-2.500
Load case 3, A
0°C, ice+normal wind, before creep
0.085.70077.999.40818.8029.11330.000500.0019.4754.0541.434-19.4754.054-1.434
Load case 2a
Ice, no wind, before creep
0.085.70077.999.9650.0032.30330.0000.0004.3000.000
0°C still air (initial LC)
0°C — Still air, before creep
0.045.00040.958.2250.000.00330.0000.0004.3000.000
0°C still air (T.O.)
0°C — Still air, after creep
0.040.27936.659.1910.000.00330.0000.0004.3000.000
Load case 2a
Ice, no wind, after creep
0.080.63173.3710.5930.0032.30330.0000.0004.3000.000
Load case 3, B
0°C, ice+normal wind, after creep
0.080.63173.3710.00118.8029.11330.000500.0019.4754.0541.434-19.4754.054-1.434
Load case 1a
High wind — 0°C, bare, after creep
0.047.84943.547.73717.440.00330.000890.0035.5573.4982.500-35.5573.498-2.500
Load case G
+15°C, no wind, after creep
15.037.63134.249.8390.000.00330.0000.0004.3000.000
Load case F
+15°C, 30% wind, after creep
15.037.86534.469.7782.940.00330.000150.006.8694.2690.514-6.8694.269-0.514
Load case C
+15°C, normal wind, after creep
15.040.12736.529.2279.800.00330.000500.0021.8793.9901.602-21.8793.990-1.602
Maximum temperature
Maximum temperature
50.032.91829.9511.2510.000.00330.0000.0004.3000.000
Short-circuit temperature margin
Short-circuit margin
150.025.23622.9714.6920.000.00330.0000.0004.3000.000
Temperature at short-circuit conditions
Short-circuit temperature (SE.2.5)
200.022.93520.8716.1750.000.00330.0000.0004.3000.000
User-defined load case
User-defined
0.045.00040.958.2250.000.00330.0000.0004.3000.000