Tower Loads

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Tower Type Model US Towers HDX-555 55 50 70 29568 6.4 For Mast Calcs Sq. Ft Pressure 40M4LLDD 9.75 242.6112 12.5 36391.68 in-lbs 90 20.736 Hygain TH7-DX 9.4 233.9021 0.5 1403.41 in-lbs Mast Wind Load 2.08 51.84 6.25 3888.00 in-lbs 41683.09 in-lbs 77637.64 Worst-case mast bending stress calculated with wind speed in cell J6 to be sure mast Mast Calculations Mast Len is strong enough when in stowed position 15 5 12.5 2.08 51.84 Mast OD Mast ID Mom In 2 1.5 0.5369 Tower Loading Calcs 40M4LLDD 5054.4 Hygain TH7-DX 4006.656 Mast Wind Load 920 9981.056 Percent Loading: 33.76% Tower Height Wind Rating, MPH Sq Ft Rating Base Torque Ft-Lbs Wind Pressure Wind Load Position Above Tower Bending Moment Mast Bending Stress Wind Speed Mast in Tower Mast Above Tower Mast FPA Mast Force

Transcript of Tower Loads

Page 1: Tower Loads

Tower Type ModelUS Towers HDX-555 55 50 70 29568 6.4

For Mast Calcs

Sq. Ft Pressure40M4LLDD 9.75 242.6112 12.5 36391.68 in-lbs 90 20.736Hygain TH7-DX 9.4 233.9021 0.5 1403.41 in-lbsMast Wind Load 2.08 51.84 6.25 3888.00 in-lbs

41683.09 in-lbs 77637.64 Worst-case mast bending stress calculatedwith wind speed in cell J6 to be sure mast

Mast CalculationsMast Len

is strong enough when in stowed position

15 5 12.5 2.08 51.84

Mast OD Mast ID Mom In2 1.5 0.5369

Tower Loading Calcs40M4LLDD 5054.4Hygain TH7-DX 4006.656Mast Wind Load 920

9981.056Percent Loading: 33.76%

TowerHeight

WindRating,

MPH

Sq Ft Rating

BaseTorqueFt-Lbs

WindPressure

WindLoad

PositionAboveTower

BendingMoment

MastBendingStress

WindSpeed

Mast inTower

Mast AboveTower

MastFPA

MastForce

Page 2: Tower Loads

Tower Type ModelUS Towers TX-472 72 50 26.9 12567.68 6.4 FPA

72 70 7.9 7234.12 12.544 FPAExtended Height 72

Drag Coefficient, Cd 2.0 for FPA For Mast Calcs

PressureForce12 Delta 240 6.78 281.18016 8 26993.3 in-lbs 90 20.736Force12 C-31XR 16.54 685.94688 0.5 4115.681 in-lbsMast Wind Load 2.50 103.68 2.5 3110.4 in-lbs

34219.38 in-lbs 63735.95 Worst-case mast bending stress calculatedwith wind speed in cell J6 to be sure mast

Mast CalculationsMast Len

is strong enough when in stowed position

15 5 10 2.5 103.68

Mast OD Mast ID Mom In2 1.5 0.536893

MPH MPH MPH MPHTower Loading Calcs 50 70 Height 50 70 0.76699Force12 Delta 240 3471.36 6803.8656 72 3471.36 6803.866 0.768571Force12 C-31XR 7674.56 15042.1376 7674.56 15042.14Mast Wind Load 1192 2336.32 1192 2336.32

12337.92 24182.3232 12337.92 24182.32Percent Loading: 98.17% 334.28% 98.17% 334.28% Calculations at ANY Height Other

Than 72 Ft are Meaningless. Lower C31XR ONLY - 50 MPH C31XR & D-240- 50 MPH Heights Will Have Much LowerTower Hgt % Loading Tower Hgt % Loading Moment Around Tower Base

25 25.1 25 36.72

TowerHeight

WindRating,

MPH

Sq Ft Rating

BaseTorqueFt-Lbs

(Ant Only)Wind

Pressure

Sq. FtNeed FPA

WindLoad

PositionAboveTower

BendingMoment

MastBendingStress

WindSpeed

Mast inTower

Mast AboveTower

MastFPA

MastForce

E1
JEC18741: This is the FLAT SA rating of the tower taken from the US Towers mechanical report
B7
JEC18741: This is the flat plate area of the antenna, mast, etc
G7
JEC18741: This is the bending stress for a 90 MPH wind loaded with antennas as indicated
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30 29.96 30 43.2935 34.83 35 49.8740 39.69 40 56.4445 44.56 45 63.0250 49.42 50 69.5955 54.29 55 76.1660 59.15 60 82.7465 64.02 65 89.3170 68.88 70 95.8972 70.83 72 98.52

C31XR ONLY - 70 MPH C31XR & D-240- 70 MPHTower Hgt % Loading Tower Hgt % Loading

25 85.1 25 125.0330 101.61 30 147.4135 118.12 35 169.840 134.64 40 192.1945 151.15 45 214.5750 167.66 50 236.9655 184.18 55 259.3460 200.69 60 281.7365 217.21 65 304.1270 233.72 70 326.572 240.32 72 335.46

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200Tower Loading as a Function of Height and Wind

C31XR Only - 50 MPHC31XR and D240 - 50 MPHC31XR Only 70 MPHC31XR and D240 - 70 MPH

Tower Height, Ft

% T

ower

Load

ing

Page 4: Tower Loads

50 MPH < 2" OD Elements 35 sq. ft flat elements FPA = 26.9 sq. ft

0.768571428571429

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

0.766990291262136

Section Surface Area7 5.9356 3.5085 2.7764

Cylindrical Surface Area Calcs

Notes

Page 5: Tower Loads

20 30 40 50 60 70 800

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200Tower Loading as a Function of Height and Wind

C31XR Only - 50 MPHC31XR and D240 - 50 MPHC31XR Only 70 MPHC31XR and D240 - 70 MPH

Tower Height, Ft

% T

ower

Load

ing

Page 6: Tower Loads

50 MPH SA Type Rating Section Surface Area< 2" OD Rnd Elements 35 Ant 35Flat Elements 26.9 Mast 0.67

70 MPH 4 3.132< 2" OD Rnd Elements 10.3 4-5 Overlap 1.591Flat Elements 7.9 5 2.776

5-6 Overlap 1.93350 Calculation's MPH 6 3.508

64.19 With Gust Factor 6-7 Overlap 2.4767 5.935

Force 6.4 lb/sq-ft

Tower Height 30 Section 21 Olp

Mid For Adjustable Heights SA Force, lbs Moment No Gusts Included - Just Basic Wind Speed1 10.5 7.33 46.987 493.3652 13.500 5.67 36.346 490.6733 16.500 4.48 28.718 473.8464 19.5 3.87 24.808 483.750

Mast 28.5 1.667 10.684 304.487Ant 31 35 224.359 6955.128

9201.250

Mid For Adjustable Heights SA Force, lbs Moment1 1.500 1.047 6.712 10.067

1-2 12.000 11.142 71.423 857.0772 13.500 0.810 5.192 70.096

2-3 15.000 8.712 55.846 837.692 As the overlap becomes greater (lower tower height), errors increase3 16.500 0.642 4.115 67.904

3-4 18.000 7.164 45.923 826.6154 19.500 0.552 3.538 69.000

Mast 28.500 1.667 10.684 304.487Ant 31.000 94.500 605.769 18778.846

21821.785

50 MPH Cylinder FPA 60 MPH Cylinder FPAHeight Ant Surface Area Height SA

25 115 88.39 25 64.3 49.4230 94.5 72.63 30 52.7 40.5040 69.1 53.11 40 37.6 28.9050 53.8 41.35 50 28.6 21.9855 48.3 37.12 55 25.3 19.4460 43.6 33.51 60 22.4 17.2265 39.7 30.51 65 20.1 15.4570 36.3 27.90 70 18.1 13.9172 35 26.90 72 17.3 13.30

Antenna is 1 foot above top of tower

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TX-472 Tower

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60 MPH

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Tower Height

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C15
JEC18741: US Towers appears to use cylindrical SA for legs, cross braces, etc
C21
JEC18741: This is the cylindrical SA for the antenna
Page 7: Tower Loads

25 31% 80%30 37% 98%40 51% 139%50 64% 188%55 72% 215%60 79% 247%65 87% 281%70 95% 319%72 98% 334%

Based on Sq Ft Values of Antennas on "TX-472" Sheet

AntHgt

50 MPH% Total Tower Loading

70 MPH% Tower Loading

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TX-472 Tower

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70 MPH

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Tower Loading vs Height

50 MPH70 MPH

Tower Height, Ft

% L

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Page 8: Tower Loads

Mid-Height Cq Ce qs L73 16352

72.5 556.863.5 1527.41453 647.6006

44.5 948.725836 534.4358

27.5 740.889619 361.29798.5 387.4368

22056.6

18.000

No Gusts Included - Just Basic Wind Speed

As the overlap becomes greater (lower tower height), errors increase

70 MPH Cylinder FPA 0.6667 MPH HeightHeight SA SA 20

25 44.7 34.28 30 0.16630 36.1 27.69 4040 25.2 19.33 5050 18.5 14.19 6055 16.1 12.35 70 7460 14 10.7465 12.3 9.4370 10.8 8.2872 10.3 7.90

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Page 9: Tower Loads

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Tower Loading vs Height

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Tower Height, Ft

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Page 10: Tower Loads

C31XR FPAElement Dia Len FPA Dia Len FPA Total FPA Number

1 0.375 36.5 13.6875 1 48 48 303.555 30.5 33 16.5

0.625 33 20.6250.73 33 24.09

0.875 33 28.875

2 0.375 33.5 12.5625 0.75 36 27 168.375 40.5 33 16.5

0.625 45 28.125

3 0.375 26 9.75 0.75 18 13.5 114 70.5 45 22.5

0.625 18 11.25

4 0.5 3 1.5 1 48 48 226.50.625 33 20.625

0.75 33 24.750.875 21 18.375

5 0.375 33 12.375 1 48 48 300.930.5 33 16.5

0.625 33 20.6250.73 33 24.09

0.875 33 28.875

6 0.375 21.5 8.0625 0.75 36 27 137.6250.5 45 22.5

0.625 18 11.25

Page 11: Tower Loads

Mast 2 372 744

Page 12: Tower Loads

sq in Length910.665 433

2382.165 sq. in16.54281 sq. ft FPA - Elements Only

673.5 29521.70948 sq. ft Elements and Boom

798 214

Page 13: Tower Loads

K-z G-h q-z0.67 73 73 1.254633 1.185664

TowerSection

ProjectedArea

AnalysisHeight

zHeight

w(plf)

Shear(lbs)

Page 14: Tower Loads

Moment(ft-lbs)