An example of Sag-Tension calculation of conductor.
Conductor Properties
Conductor code ACSR Moose
UTS (kg) 16428
Area of Conductor (sqmm) 597 0.000597 sqm
Weight of conductor (kg/m) 2.004
Diameter of conductor (mm) 31.77
Modulus of Elasticity (kg/sqmm) 7034 7.03E+09 (kg/sqm)
Coefficient of linear expansion (per deg. cel.) 0.0000193
Data of Line
Normal Span (m) 400
Wind pressure on conductor (kg/sqm) 112.49
Initial Conditions
Conductor temp. t1 (deg. Cel.) 22
Ice thickness (mm) 0
Wind pressure on conductor (kg/sqm) 0
Tension (kg) 3614.16
Stress (f1) 6053869.3467
Case 1: sag at -5 deg. Cel. With ice thickness 15mm at no wind conditions
Ice load (kg/m) 2.144413503
Wind Load (kg/m) 0
t 15 mm
t2 -5 deg cel
W1 2.004
W2 4.14841
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 6.41220
coefficient of f21 c 0
coefficient of f20 d 3.09E+15
f2 y
11737352.13 0.00E+00
therefore, the final tension
T2 7007.20 kg
Sag 11.84 m
Case 2: Sag at -15 deg. Cel. Without ice and wind conditions
Ice load (kg/m) 0
Wind Load (kg/m) 0
t 0 mm
t2 -15 deg. Cel.
W1 2.004
W2 2.004
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 4.56
coefficient of f21 c 0
coefficient of f20 d 7.2E+14
f2 y
7110444.653 0.00E+00
therefore, the final tension
T2 4244.935458 kg
Sag 9.44183967 m
Case 3: Sag at 0 deg. Cel. Full wind Without ice conditions
Ice load (kg/m) 0
Wind Load (kg/m) 3.5738073
t 0 mm
t2 0 deg. Cel.
W1 2.004
W2 4.097330182
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 7.3386022
coefficient of f21 c 0
coefficient of f20 d 3.0146E+15
f2 y
11455364.47 0.00E+00
therefore, the final tension
T2 6838.852591 kg
Sag 5.860632243 m
Case 4: Sag at -5 deg. Cel. With 28% wind & 15mm ice conditions
Ice load (kg/m) 2.144413503
Wind Load (kg/m) 1.945582044
t 15 mm
t2 -5 deg. Cel.
W1 2.004
W2 4.581989097
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 6.41220
coefficient of f21 c 0
coefficient of f20 d 3.7700E+15
f2 y
12626894.24 0.00E+00
therefore, the final tension
T2 7538.255858 kg
Sag 11.00629531 m
Case 5: Sag at 85 deg. Cel. Without wind & without ice conditions
Ice load (kg/m) 0
Wind Load (kg/m) 0
t 0 mm
t2 85 deg. Cel.
W1 2.004
W2 2.004
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 23.08740
coefficient of f21 c 0
coefficient of f20 d 7.2115E+14
f2 y
4919226.162 0.00E+00
therefore, the final tension
T2 2936.778019 kg
Sag 13.64760964 m
Case 6: Sag at -5 deg. Cel. With 28% wind without ice conditions
Ice load (kg/m) 0
Wind Load (kg/m) 1.000666044
t 0 mm
t2 -5 deg. Cel.
W1 2.004
W2 2.239944
Therefore coefficient of f23 a 1.36E-06
coefficient of f22 b 6.41220
coefficient of f21 c 0
coefficient of f20 d 9.0096E+14
f2 y
7389892.754 0.0000E+00
therefore, the final tension
T2 4411.765974 kg
Sag 9.084797388 m
Output Table
Case No. Temp Wind Pressure Ice Resultant Resultant
(Deg.Cel.) (% full wind) Thickness Tension Sag
(mm) (kg) (m)
Initial 22 0 0 3614.16 11.0897
1 -5 0 15 7007.20 11.8404
2 -15 0 0 4244.9355 9.4418
3 0 100 0 6838.8526 5.8606
4 -5 28 15 7538.2559 11.0063
5 85 0 0 2936.778 13.6476
6 -5 28 0 4411.766 9.0848