Tower Loads

Tower Type US Towers

Model HDX-555

55

Wind Rating, MPH 50

Wind Load 242.6112 233.9021 51.84

Position Above Tower 12.5 0.5 6.25

Tower Height

Sq Ft Rating 70

Base Torque Ft-Lbs 29568

Wind Pressure 6.4 For Mast Calcs

40M4LLDD Hygain TH7-DX Mast W ind Load

Sq. Ft 9.75 9.4 2.08

Mast Len

Mast in Tower

15

5

Mast Above Tower 12.5

Mast OD 2

Mast ID 1.5

Mom In 0.5369

Mast Calculations

Tower Loading Calcs 40M4LLDD Hygain TH7-DX Mast W ind Load Percent Loading:

Model TX-472

Extended Height Drag Coefficient, Cd

Force12 Delta 240 Force12 C-31XR Mast Wind Load

Mast FPA 2.08

in-lbs in-lbs in in-lbs in-lbs

Wind Speed 90

Pressure 20.736

77637.64 Worst-case mast bending stress calculated with wind speed in cell J6 to be sure mast is strong enough when in stowed position

Mast Force 51.84

5054.4 4006.656 920 9981.056 33.76%

Tower Height Tower Type US Towers

Bending Moment 36391.68 1403.41 3888.00 41683.09

Mast Bending Stress

2.0

72 72 72

Wind Rating, MPH

Sq Ft Rating

50 70

26.9 7.9

Wind Pressure 6.4 12.544

for FPA

Sq. Ft Wind Need FPA Load 6.78 281.18016 16.54 685.94688 2.50 103.68

FPA FPA

For Mast Calcs Position Above Tower 8 0.5 2.5

Mast Len

Mast in Tower

15

5

Mast Above Tower 10

Mast OD 2

Mast ID 1.5

Mom In 0.536893

MPH

MPH

Mast Calculations

Base Torque Ft-Lbs (Ant Only) 12567.68 7234.12

Bending Moment 26993.3 4115.681 3110.4 34219.38

Mast FPA 2.5

Mast Bending Stress in-lbs in-lbs in-lbs in-lbs


Mast Force 103.68

MPH

Wind Speed Pressure 90 20.736

MPH

Tower Height Tower Type US Towers

Model TX-472

Extended Height Drag Coefficient, Cd

Force12 Delta 240 Force12 C-31XR Mast Wind Load

2.0

Percent Loading:

Sq Ft Rating

50 70

26.9 7.9

Mast in Tower

15

5

Mast Above Tower 10

Mast OD 2

Mast ID 1.5

Mom In 0.536893

MPH MPH 50 70 3471.36 6803.8656 7674.56 15042.1376 1192 2336.32 12337.92 24182.3232 98.17% 334.28% C 3 1XR O N L Y - 5 0 MP H

Tower Hgt % Loading 25 25.1 30 29.96

34.83 39.69 44.56 49.42 54.29 59.15 64.02 68.88 70.83

C 3 1X R O N L Y - 70 MP H

Tower Hgt 25 30 35 40 45 50 55 60 65 70 72

Wind Pressure 6.4 12.544

FPA FPA

For Mast Calcs Position Above Tower 8 0.5 2.5

Mast Len

35 40 45 50 55 60 65 70 72

Base Torque Ft-Lbs (Ant Only) 12567.68 7234.12

for FPA

Sq. Ft Wind Need FPA Load 6.78 281.18016 16.54 685.94688 2.50 103.68

Mast Calculations

Tower Loading Calcs Force12 Delta 240 Force12 C-31XR Mast Wind Load

72 72 72

Wind Rating, MPH

% Loading 85.1 101.61 118.12 134.64 151.15 167.66 184.18 200.69 217.21 233.72 240.32

Bending Moment 26993.3 4115.681 3110.4 34219.38

Mast FPA 2.5

Mast Bending Stress in-lbs in-lbs in-lbs in-lbs

Wind Speed Pressure 90 20.736


Mast Force 103.68

MPH MPH 50 70 0.76699 3471.36 6803.866 0.768571 7674.56 15042.14 1192 2336.32 12337.92 24182.32 98.17% 334.28% Calculations at ANY Height Other Than 72 Ft are Meaningless. Lower Heights Will Have Much Lower C 31 XR & D-2 40- 50 MPH Tower Hgt % Loading Moment Around Tower Base 25 36.72 30 43.29 Height 72

35 40 45 50 55 60 65 70 72

49.87 56.44 63.02 69.59 76.16 82.74 89.31 95.89 98.52

C 3 1X R & D-2 40- 7 0 MP H

T ower Hgt % Loading 25 125.03 30 147.41 35 169.8 40 192.19 45 214.57 50 236.96 55 259.34 60 281.73 65 304.12 70 326.5 72 335.46

Tower 200 180 160 140 g n i d 120 a o L r 100 e w o T 80 %

60 40 20 0 20

30

4

35 40 45 50 55 60 65 70 72

34.83 39.69 44.56 49.42 54.29 59.15 64.02 68.88 70.83

C 3 1X R O N L Y - 70 MP H

Tower Hgt 25 30 35 40 45 50 55 60 65 70 72

% Loading 85.1 101.61 118.12 134.64 151.15 167.66 184.18 200.69 217.21 233.72 240.32

Cylindrical Surface Area Calcs Notes 50 MPH < 2" OD Elements 35 sq. ft flat elements FPA = 26.9 sq. ft 0.768571429

70 MPH < 2" OD Elements 10.3 sq. ft flat elements FPA = 7.9 sq. ft. 0.766990291

35 40 45 50 55 60 65 70 72

49.87 56.44 63.02 69.59 76.16 82.74 89.31 95.89 98.52

C 3 1X R & D-2 40- 7 0 MP H

T ower Hgt % Loading 25 125.03 30 147.41 35 169.8 40 192.19 45 214.57 50 236.96 55 259.34 60 281.73 65 304.12 70 326.5 72 335.46

Tower 200 180 160 140 g n i d 120 a o L r 100 e w o T 80 %

60 40 20 0 20

30

4

Cylindrical Surface Area Calcs Notes 50 MPH < 2" OD Elements 35 sq. ft flat elements FPA = 26.9 sq. ft 0.768571429

70 MPH < 2" OD Elements 10.3 sq. ft flat elements FPA = 7.9 sq. ft. 0.766990291

Section

Surface Area 7 6 5 4

5.935 3.508 2.776

Loading as a Function of Height and Wind

C31XR Only - 50 MPH C31XR and D240 - 50 MPH C31XR Only 70 MPH C31XR and D240 - 70 MPH

0

50 Tower Height, Ft

60

70

80

Loading as a Function of Height and Wind

C31XR Only - 50 MPH C31XR and D240 - 50 MPH C31XR Only 70 MPH C31XR and D240 - 70 MPH

0

50

60

70

80

Tower Height, Ft

50 MPH

SA Type < 2" OD Rnd Elements Flat Elements

Rating 35 26.9

< 2" OD Rnd Elements Flat Elements

10.3 7.9

70 MPH

50 64.19 Force

Calculation's MPH With Gust Factor 6.4 Tower Height

Mid 1 2 3 4

For Adjustable Heights 10.5 13.500 16.500 19.5

Section Ant Mast 4 4-5 Overlap 5 5-6 Overlap 6 6-7 Overlap 7

Surface Area 35 0.67 3.132 1.591 2.776 1.933 3.508 2.476 5.935

21

Olp

lb/sq-ft 30

Section

SA 7.33 5.67 4.48 3.87

Force, lbs 46.987 36.346 28.718 24.808

Moment No Gusts Included 493.365 490.673 473.846 483.750

50 MPH

SA Type < 2" OD Rnd Elements Flat Elements

Rating 35 26.9

< 2" OD Rnd Elements Flat Elements

10.3 7.9

70 MPH

50 64.19 Force

Calculation's MPH With Gust Factor 6.4 Tower Height

30

Section Force, lbs 46.987 36.346 28.718 24.808 10.684 224.359

For Adjustable Heights 10.5 13.500 16.500 19.5 28.5 31

SA 7.33 5.67 4.48 3.87 1.667 35

Mid 1 1-2 2 2-3 3 3-4 4 Mast Ant

For Adjustable Heights 1.500 12.000 13.500 15.000 16.500 18.000 19.500 28.500 31.000

SA 1.047 11.142 0.810 8.712 0.642 7.164 0.552 1.667 94.500

Cylinder Ant Surface Area 115 94.5 69.1 53.8 48.3 43.6 39.7 36.3 35

Antenna is 1 foot above top of tower

Surface Area 35 0.67 3.132 1.591 2.776 1.933 3.508 2.476 5.935

21

Olp

lb/sq-ft

Mid 1 2 3 4 Mast Ant

50 MPH Height 25 30 40 50 55 60 65 70 72

Section Ant Mast 4 4-5 Overlap 5 5-6 Overlap 6 6-7 Overlap 7

FPA 88.39 72.63 53.11 41.35 37.12 33.51 30.51 27.90 26.90

Force, lbs 6.712 71.423 5.192 55.846 4.115 45.923 3.538 10.684 605.769

60 MPH Height 25 30 40 50 55 60 65 70 72

Moment No Gusts Included 493.365 490.673 473.846 483.750 304.487 6955.128 9201.250 Moment 10.067 857.077 70.096 837.692 67.904 826.615 69.000 304.487 18778.846 21821.785

Cylinder SA 64.3 52.7 37.6 28.6 25.3 22.4 20.1 18.1 17.3

As the overlap becom

FPA 49.42 40.50 28.90 21.98 19.44 17.22 15.45 13.91 13.30

Ant Hgt

50 MPH % Total Tower Loading

70 MPH % Tower Loading

25 30 40 50 55 60 65 70 72

31% 37% 51% 64% 72% 79% 87% 95% 98%

80% 98% 139% 188% 215% 247% 281% 319% 334%

14 12 a e r A10 e c a 8 f r u S e 6 l b a w 4 o l l A 2

Based on Sq Ft Values of Antennas on "TX-472" Sheet 200% 180% 160%

Tower Loading vs Height

140%

g 120% n i d a 100% o L % 80% 60% 40%

50 MPH 70 MPH

20% 0% 20

30

40

50

Tower Height, Ft

60

70

Mid-Height 73 72.5 63.5 53 44.5 36 27.5 19 8.5

Cq

Ce

qs L 16352 556.8 1527.414 647.6006 948.7258 534.4358 740.8896 361.2979 387.4368 22056.6

18.000 ust Basic Wind Speed

s greater (lower tower height), errors increase

70 MPH Height 25 30 40 50 55 60 65 70 72

Cylinder SA 44.7 36.1 25.2 18.5 16.1 14 12.3 10.8 10.3

FPA SA 34.28 27.69 19.33 14.19 12.35 10.74 9.43 8.28 7.90

0.6667

MPH 20 30 40 50 60 70

Height 0.166

74

TX-472 Tower

50 MPH 60 MPH 70 MPH

20

30

40

50

Tower Height

80

60

70

80

C31XR FPA Element Dia 1 0.375 0.5 0.625 0.73 0.875

Len 36.5 33 33 33 33

FPA 13.6875 16.5 20.625 24.09 28.875

Dia

Len

FPA

1

48

48

Total FPA 303.555

2

0.375 0.5 0.625

33.5 33 45

12.5625 16.5 28.125

0.75

36

27

168.375

3

0.375 0.5 0.625

26 45 18

9.75 22.5 11.25

0.75

18

13.5

114

4

0.5 0.625 0.75 0.875

3 33 33 21

1.5 20.625 24.75 18.375

1

48

48

226.5

5

0.375 0.5 0.625 0.73 0.875

33 33 33 33 33

12.375 16.5 20.625 24.09 28.875

1

48

48

300.93

6

0.375 0.5 0.625

21.5 45 18

8.0625 22.5 11.25

0.75

36

27

137.625

Mast

2

372

744

Number 3

4

7

sq in 910.665

673.5

798

Length 433

2382.165 sq. in 16.54281 sq. ft

FPA - Elements Only

21.70948 sq. ft

Elements and Boom

295

214

Tower Section

Projected Analysis z Area Height Height K-z G-h q-z 0.67 73 73 1.254633 1.185664

w (plf)

Shear (lbs)

Moment (ft-lbs)

Tower Loads

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