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132 kV River Crossing: Loading tree calculation
River Crossing Span, L 500.00 m
330.00 m
Normal Condition (NC) Worst wind and no conductor broken
Broken wire condition (BWC) Worst wind with one conductor and one ew. broken
Angle of deviation, a 10.00 degree
Weight of insulator string, w 1 70.00 kg
Length of insulator string, l 1 2000.00 mm
Dia of insulator string, d 1 200.00 mm
Qty. of Insulator per side of arm, N i 1.00
Dia of conductor, d c 25.10 mm
Weight of conductor, w c 1302.00 kg/km
Working tension in conductor, T C 45126.00 N
Dia of earth wire, d E 9.50 mm
Weight of earth wire, w e 460.00 kg/km
Working tension in earth wire, T E 28430.00 N
Damper weight for conductor, w dC 0.00 kg
Damper weight for earth wire, w dE 0.00 kg
Wind pressure on conductor, p c 1427.00 N/m2
Wind pressure on earthwire, p e 1686.00 N/m2
Wind direction, q 45.00o
Span reduction factor for BWC, r 1 1.00
Tension red. fact. for BWC for conductor, r 2 0.70
Min. unbal. Long. force per conductor 8000.00 N
Min. unbal. Long. force per earthwire 2500.00 N
Calculations
Wind span, L 1 500.00 m
Weight span, L 2 800.00 m
VERTICAL LOAD
Normal condition Broken wire condition
Earth wire point
Weight of earth wire w e L 2 3608.98 N w e L 2 r 1
Weight of damper (two dampers) 2w dE 0.00 N w dE
3608.98 N
At cross arm
Weight of insulator string w 1 N i 686.49 N w 1 N i
Weight of conductor w c L 2 10214.97 N w c L 2 r 1
Weight of damper (two dampers) 2w dC 0.00 N w dC
10901.46 N
LONGITUDINAL LOAD
Earthwire point
Unbalanced pull 2500.00 N T E cos(a /2 )
At cross arm
Unbalanced pull 8000.00 N T C cos(a /2 )r 2
Wind force on insulator p c l 1 d 1 cosq 403.62 N p c l 1 d 1 cosq
8403.62 N
TRANSVERSE LOAD
Earthwire point
Component of working tension 2T E sin(a /2 ) 4955.67 N T E sin(a /2 )
Wind force on earth wire p e sinq L 1 d E cos(a/2) 5641.19 N p e sinq L 1 d E cos(a/2)r 1
10596.86 N
At cross arm
Component of working tension 2T C sin(a /2 ) 7865.97 N T C sin(a /2 )r 2
Wind force on conductor p c sinq L 1 d C cos(a/2) 12614.99 N p c sinq L 1 d C cos(a/2)r 1
Wind force on insulator string p c l 1 d 1 sinq 403.61 N p c l 1 d 1 sinq
20884.57 N
Span between Anchor and RC tower, L A
Revised (m/d/y) 5/11/2014 Page 1 of 30
132 kV River Crossing: Loading tree calculation
Wind direction, q 45.00o
3609
Angle of deviation, a 10.00o
2500
Normal Condition
10597 (forces are in Newton)
8404
20885
Loading tree
Normal Condition 10901 10901
(forces are in Newton)
8404
20885
10901 10901
8404
20885
10901 10901
3609
28322
Earth wire broken condition
8119 (forces are in Newton)
8404
20885
Loading tree
Earth wire broken condition 10901 10901
(forces are in Newton)
8404
20885
10901 10901
8404
20885
10901 10901
Revised (m/d/y) 5/11/2014 Page 2 of 30
132 kV River Crossing: Loading tree calculation
Top-left conductor broken condition
Wind direction, q 45.00o
3609 (In analysis middle-left and bottom-left
Angle of deviation, a 10.00o
2500 conductor broken condition shall also be
included)
10597 (forces are in Newton)
31872
15772
Loading tree
Top-left conductor broken condition 10901 10901
(In analysis middle-left and bottom-left
conductor broken condition shall also be 8404
included)
(forces are in Newton)
20885
10901 10901
8404
20885
10901 10901
Revised (m/d/y) 5/11/2014 Page 3 of 30
Broken wire condition
3608.98 N
0.00 N
3608.98 N
686.49 N
10214.97 N
0.00 N
10901.46 N
28321.82 N
31468.00 N
403.62 N
31871.61 N
2477.84 N
5641.19 N
8119.02 N
2753.09 N
12614.99 N
403.61 N
15771.69 N
Revised (m/d/y) 5/11/2014 Page 4 of 30
8404
20885
8404
20885
8404
20885
Earth wire broken condition
8404
20885
8404
20885
8404
20885
Revised (m/d/y) 5/11/2014 Page 5 of 30
Top-left conductor broken condition
(In analysis middle-left and bottom-left
conductor broken condition shall also be
8404
20885
8404
20885
8404
20885
Revised (m/d/y) 5/11/2014 Page 6 of 30
132 kV Angle Tower: Loading tree calculation
Basic Span, L 330.00 m
330.00 m
Normal Condition (NC) Worst wind and no conductor broken
Broken wire condition (BWC) Worst wind with two conductor and one ew. broken
Angle of deviation, a 60.00 degree
Weight of insulator string, w 1 70.00 kg
Length of insulator string, l 1 2000.00 mm
Dia of insulator string, d 1 200.00 mm
Qty. of Insulator per side of arm, N i 2.00
Dia of conductor, d c 25.10 mm
Weight of conductor, w c 1302.00 kg/km
Working tension in conductor, T C 45126.00 N
Dia of earth wire, d E 9.50 mm
Weight of earth wire, w e 460.00 kg/km
Working tension in earth wire, T E 28430.00 N
Damper weight for conductor, w dC 0.00 kg
Damper weight for earth wire, w dE 0.00 kg
Wind pressure on conductor, p c 1427.00 N/m2
Wind pressure on ew., p e 1686.00 N/m2
Wind direction, q 45.00o
Span reduction factor for BWC, r 1 1.00
Tension red. fact. for BWC for conductor, r 2 0.70
Min. unbal. Long. force per conductor 8000.00 N
Min. unbal. Long. force per earthwire 2500.00 N
Calculations
Wind span, L 1 365.00 m
Weight span, L 2 680.00 m
VERTICAL LOAD
Normal condition
Earth wire point
Weight of earth wire w e L 2 3067.63 N
Weight of damper (two dampers) 2w dE 0.00 N
3067.63 N
At cross arm
Weight of insulator string w 1 N i 1372.98 N
Weight of conductor w c L 2 8682.73 N
Weight of damper (two dampers) 2w dC 0.00 N
10055.71 N
LONGITUDINAL LOAD
Earthwire point
Unbalanced pull 2500.00 N
At cross arm
Unbalanced pull 8000.00 N
Wind force on insulator p c l 1 d 1 cosqN i 807.23 N
8807.23 N
TRANSVERSE LOAD
Earthwire point
Component of working tension 2T E sin(a /2 ) 28429.98 N
Wind force on earth wire p e sinq L 1 d E cos(a/2) 3580.00 N
32009.98 N
At cross arm
Component of working tension 2T C sin(a /2 ) 45125.97 N
Wind force on conductor p c sinq L 1 d C cos(a/2) 8005.64 N
Wind force on insulator string p c l 1 d 1 sinqN i 807.21 N
53938.82 N
Span between Angle tower and Pole/Anchor tower, L A
Revised (m/d/y) 5/11/2014 Page 7 of 30
132 kV Angle Tower: Loading tree calculation
Wind direction, q 45.00o
3068
Angle of deviation, a 60.00o
2500
32010
8807
53939
Loading tree
Normal Condition 10056
(forces are in Newton)
8807
53939
10056
8807
53939
10056
3068
24621
17795
8807
53939
Loading tree
Earth wire broken condition 10056
(forces are in Newton)
8807
53939
10056
8807
53939
10056
Revised (m/d/y) 5/11/2014 Page 8 of 30
132 kV Angle Tower: Loading tree calculation
Wind direction, q 45.00o
3068
Angle of deviation, a 60.00o
2500
32010
28163
24607
Loading tree
Top-left conductor broken condition 10056
(In analysis middle-left and bottom-left
conductor broken condition shall also be 8807
included)
(forces are in Newton)
53939
10056
8807
53939
10056
Revised (m/d/y) 5/11/2014 Page 9 of 30
Broken wire condition
w e L 2 r 1 3067.63 N
w dE 0.00 N
3067.63 N
w 1 N i 1372.98 N
w c L 2 r 1 8682.73 N
w dC 0.00 N
10055.71 N
T E cos(a /2 ) 24621.11 N
T C cos(a /2 )r 2 27356.19 N
p c l 1 d 1 cosqN i 807.23 N
28163.42 N
T E sin(a /2 ) 14214.99 N
p e sinq L 1 d E cos(a/2)r 1 3580.00 N
17794.99 N
T C sin(a /2 )r 2 15794.09 N
p e sinq L 1 d C cos(a/2)r 1 8005.64 N
p c l 1 d 1 sinqN i 807.21 N
24606.95 N
Revised (m/d/y) 5/11/2014 Page 10 of 30
8807
53939
10056
8807
53939
10056
8807
53939
10056
8807
53939
10056
8807
53939
10056
8807
53939
10056
Revised (m/d/y) 5/11/2014 Page 11 of 30
8807
53939
10056
8807
53939
10056
8807
53939
10056
Revised (m/d/y) 5/11/2014 Page 12 of 30
132 kV Road Crossing: Loading tree calculation
Road Crossing Span, L 365.00 m
365.00 m
Normal Condition (NC) Worst wind and no conductor broken
Broken wire condition (BWC) Worst wind with one conductor and one ew. broken
Angle of deviation, a 3.00 degree
Weight of insulator string, w 1 70.00 kg
Length of insulator string, l 1 2000.00 mm
Dia of insulator string, d 1 200.00 mm
Qty. of Insulator per side of arm, N i 1.00
Dia of conductor, d c 25.10 mm
Weight of conductor, w c 1302.00 kg/km
Working tension in conductor, T C 45126.00 N
Dia of earth wire, d E 9.50 mm
Weight of earth wire, w e 460.00 kg/km
Working tension in earth wire, T E 28430.00 N
Damper weight for conductor, w dC 0.00 kg
Damper weight for earth wire, w dE 0.00 kg
Wind pressure on conductor, p c 1427.00 N/m2
Wind pressure on ew., p e 1686.00 N/m2
Wind direction, q 90.00o
Span reduction factor for BWC, r 1 0.75
Tension red. fact. for BWC for conductor, r 2 0.70
Min. unbal. Long. force per conductor 8000.00 N
Min. unbal. Long. force per earthwire 2500.00 N
Calculations
Wind span, L 1 365.00 m
Weight span, L 2 680.00 m
VERTICAL LOAD
Normal condition Broken wire condition
Earth wire point
Weight of earth wire w e L 2 3067.63 N w e L 2 r 1 2300.72 N
Weight of damper (two dampers) 2w dE 0.00 N w dE 0.00 N
3067.63 N 2300.72 N
At cross arm
Weight of insulator string w 1 N i 686.49 N w 1 N i 686.49 N
Weight of conductor w c L 2 8682.73 N w c L 2 r 1 6512.04 N
Weight of damper (two dampers) 2w dC 0.00 N w dC 0.00 N
9369.22 N 7198.53 N
LONGITUDINAL LOAD
Earthwire point
Unbalanced pull 2500.00 N T E cos(a /2 ) 28420.26 N
At cross arm
Unbalanced pull 8000.00 N T C cos(a /2 )r 2 31577.38 N
Wind force on insulator p c l 1 d 1 cosq 0.00 N p c l 1 d 1 cosq 0.00 N
8000.00 N 31577.38 N
TRANSVERSE LOAD
Earthwire point
Component of working tension 2T E sin(a /2 ) 1488.42 N T E sin(a /2 ) 744.21 N
Wind force on earth wire p e sinq L 1 d E cos(a/2) 5844.20 N p e sinq L 1 d E cos(a/2)r 1 4383.15 N
7332.62 N 5127.36 N
At cross arm
Component of working tension 2T C sin(a /2 ) 2362.52 N T C sin(a /2 )r 2 826.88 N
Wind force on conductor p c sinq L 1 d C cos(a/2) 13068.98 N p e sinq L 1 d C cos(a/2)r 1 9801.74 N
Wind force on insulator string p c l 1 d 1 sinq 570.80 N p c l 1 d 1 sinq 570.80 N
16002.30 N 11199.42 N
Span between RC tower and Pole/Anchor
tower, L A
Revised (m/d/y) 5/11/2014 Page 13 of 30
132 kV Road Crossing: Loading tree calculation
Wind direction, q 90.00o
3068
Angle of deviation, a 3.00o
2500
7333
8000 8000
16002 16002
Loading tree
Normal Condition 9369 9369
(forces are in Newton)
8000 8000
16002 16002
9369 9369
8000 8000
16002 16002
9369 9369
2301
28420
5127
8000 8000
16002 16002
Loading tree
Earth wire broken condition 9369 9369
(forces are in Newton)
8000 8000
16002 16002
9369 9369
8000 8000
16002 16002
9369 9369
Revised (m/d/y) 5/11/2014 Page 14 of 30
132 kV Road Crossing: Loading tree calculation
Wind direction, q 90.00o
3068
Angle of deviation, a 3.00o
2500
7333
31577 8000
11199 16002
Loading tree
Top-left conductor broken condition 7199 9369
(In analysis middle-left and bottom-left
conductor broken condition shall also be 8000 8000
included)
(forces are in Newton)
16002 16002
9369 9369
8000 8000
16002 16002
9369 9369
Revised (m/d/y) 5/11/2014 Page 15 of 30
132 kV Road Crossing: Loading tree calculation
Road Crossing Span, L
Normal Condition (NC)
Broken wire condition (BWC)
Angle of deviation, a
Weight of insulator string, w 1
Length of insulator string, l 1
Dia of insulator string, d 1
Qty. of Insulator per side of arm, N i
Dia of conductor, d c
Weight of conductor, w c
Working tension in conductor, T C
Dia of earth wire, d E
Weight of earth wire, w e
Working tension in earth wire, T E
Damper weight for conductor, w dC
Damper weight for earth wire, w dE
Wind pressure on conductor, p c
Wind pressure on ew., p e
Wind direction, q
Span reduction factor for BWC, r 1
Tension red. fact. for BWC for conductor, r 2
Min. unbal. Long. force per conductor
Min. unbal. Long. force per earthwire
Calculations
Wind span, L 1
Weight span, L 2
VERTICAL LOAD
Earth wire point
Weight of earth wire
Weight of damper (two dampers)
At cross arm
Weight of insulator string
Weight of conductor
Weight of damper (two dampers)
Span between RC tower and Pole/Anchor tower, L A
LONGITUDINAL LOAD
Earthwire point
Unbalanced pull
At cross arm
Unbalanced pull
Wind force on insulator
TRANSVERSE LOAD
Earthwire point
Component of working tension
Wind force on earth wire
At cross arm
Component of working tension
Wind force on conductor
Wind force on insulator string
Wind direction, q ###
Angle of deviation, a 3.00
###
Loading tree
Normal Condition
(forces are in Newton)
###
###
###
Loading tree
Earth wire broken condition
(forces are in Newton)
###
###
Wind direction, q ###
Angle of deviation, a 3.00
###
Loading tree
Top-left conductor broken condition
(In analysis middle-left and bottom-left
conductor broken condition shall also be
included)
(forces are in Newton)
###
###
365.00 m
365.00 m
Worst wind and no conductor broken
Worst wind with one conductor and one ew. broken
3.00 degree
70.00 kg
2000.00 mm
200.00 mm
1.00
25.10 mm
1302.00 kg/km
45126.00 N
9.50 mm
460.00 kg/km
28430.00 N
0.00 kg
0.00 kg
1427.00 N/m2
1686.00 N/m2
45.00o
0.75
0.70
8000.00 N
2500.00 N
365.00 m
680.00 m
Normal condition Broken wire condition
w e L 2 3067.63 N w e L 2 r 1
2w dE 0.00 N w dE
3067.63 N
w 1 N i 686.49 N w 1 N i
w c L 2 8682.73 N w c L 2 r 1
2w dC 0.00 N w dC
9369.22 N
2500.00 N T E cos(a /2 )
8000.00 N T C cos(a /2 )r 2
p c l 1 d 1 cosq 403.62 N p c l 1 d 1 cosq
8403.62 N
2T E sin(a /2 ) 1488.42 N T E sin(a /2 )
p e sinq L 1 d E cos(a/2) 4132.38 N p e sinq L 1 d E cos(a/2)r 1
5620.80 N
2T C sin(a /2 ) 2362.52 N T C sin(a /2 )r 2
p c sinq L 1 d C cos(a/2) 9240.95 N p e sinq L 1 d C cos(a/2)r 1
p c l 1 d 1 sinq 403.61 N p c l 1 d 1 sinq
12007.08 N
o3068
o2500
5621
8404
9369 9369
8404
9369 9369
8404
9369 9369
2301
28420
3843
8404
9369 9369
8404
9369 9369
8404
9369 9369
o3068
o2500
5621
31981
7199 9369
8404
9369 9369
8404
9369 9369
Broken wire condition
2300.72 N
0.00 N
2300.72 N
686.49 N
6512.04 N
0.00 N
7198.53 N
28420.26 N
31577.38 N
403.62 N
31980.99 N
744.21 N
3099.28 N
3843.49 N
826.88 N
6930.71 N
403.61 N
8161.20 N
8404
12007
8404
12007
8404
12007
8404
12007
8404
12007
8404
12007
8404
12007
8404
12007
8404
12007
132 kV Anchor Tower: Loading tree calculation
Basic Span, L 330.00 m
330.00 m
Normal Condition (NC) Worst wind and no conductor broken
Broken wire condition (BWC) Worst wind with two conductor and one ew. broken
Angle of deviation, a 45.00 degree
Weight of insulator string, w 1 70.00 kg
Length of insulator string, l 1 2000.00 mm
Dia of insulator string, d 1 200.00 mm
Qty. of Insulator per side of arm, N i 3.00
Dia of conductor, d c 25.10 mm
Weight of conductor, w c 1302.00 kg/km
Working tension in conductor, T C 45126.00 N
Dia of earth wire, d E 9.50 mm
Weight of earth wire, w e 460.00 kg/km
Working tension in earth wire, T E 28430.00 N
Damper weight for conductor, w dC 0.00 kg
Damper weight for earth wire, w dE 0.00 kg
Wind pressure on conductor, p c 1427.00 N/m2
Wind pressure on ew., p e 1686.00 N/m2
Wind direction, q 45.00o
Span reduction factor for BWC, r 1 1.00
Tension red. fact. for BWC for conductor, r 2 0.70
Min. unbal. Long. force per conductor 8000.00 N
Min. unbal. Long. force per earthwire 2500.00 N
Calculations
Wind span, L 1 365.00 m
Weight span, L 2 680.00 m
VERTICAL LOAD
Normal condition Broken wire condition
Earth wire point
Weight of earth wire w e L 2 3067.63 N w e L 2 r 1 3067.63 N
Weight of damper (two dampers) 2w dE 0.00 N w dE 0.00 N
3067.63 N 3067.63 N
At cross arm
Weight of insulator string w 1 N i 2059.47 N w 1 N i 2059.47 N
Weight of conductor w c L 2 8682.73 N w c L 2 r 1 8682.73 N
Weight of damper (two dampers) 2w dC 0.00 N w dC 0.00 N
10742.20 N 10742.20 N
LONGITUDINAL LOAD
Earthwire point
Unbalanced pull 2500.00 N T E cos(a /2 ) 26265.90 N
At cross arm
Unbalanced pull 8000.00 N T C cos(a /2 )r 2 29183.70 N
Wind force on insulator p c l 1 d 1 cosqN i 1210.85 N p c l 1 d 1 cosqN i 1210.85 N
9210.85 N 30394.55 N
TRANSVERSE LOAD
Earthwire point
Component of working tension 2T E sin(a /2 ) 21759.36 N T E sin(a /2 ) 10879.68 N
Wind force on earth wire p e sinq L 1 d E cos(a/2) 3819.15 N p e sinq L 1 d E cos(a/2)r 1 3819.15 N
25578.51 N 14698.83 N
At cross arm
Component of working tension 2T C sin(a /2 ) 34537.92 N T C sin(a /2 )r 2 12088.27 N
Wind force on conductor p c sinq L 1 d C cos(a/2) 8540.45 N p e sinq L 1 d C cos(a/2)r 1 8540.45 N
Wind force on insulator string p c l 1 d 1 sinqN i 1210.82 N p c l 1 d 1 sinqN i 1210.82 N
44289.19 N 21839.55 N
Span between Anchor tower and Pole/Angle
tower, L A
Revised (m/d/y) 5/11/2014 Page 28 of 30
132 kV Anchor Tower: Loading tree calculation
Wind direction, q 45.00o
3068
Angle of deviation, a 45.00o
2500
25579
9211 9211
44289 44289
Loading tree
Normal Condition 10742 10742
(forces are in Newton)
9211 9211
44289 44289
10742 10742
9211 9211
44289 44289
10742 10742
3068
26266
14699
9211 9211
44289 44289
Loading tree
Earth wire broken condition 10742 10742
(forces are in Newton)
9211 9211
44289 44289
10742 10742
9211 9211
44289 44289
10742 10742
Revised (m/d/y) 5/11/2014 Page 29 of 30
132 kV Anchor Tower: Loading tree calculation
Wind direction, q 45.00o
3068
Angle of deviation, a 45.00o
2500
25579
30395 9211
21840 44289
Loading tree
Top-left conductor broken condition 10742 10742
(In analysis middle-left and bottom-left
conductor broken condition shall also be 9211 9211
included)
(forces are in Newton)
44289 44289
10742 10742
9211 9211
44289 44289
10742 10742
Revised (m/d/y) 5/11/2014 Page 30 of 30
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