25.0m Monopole Analysis & Calculations

FAST PLANETS ENGINEERING DESIGN CONSULTANTS Project Name: Programmed by by:

Date:

ZND903_A FCFalgui

51211

ANALYSIS OF MONOPOLE

SECTION 1 Analysis Criteria: Determine Wind Pressures 25 m H= 35 m/s V= 1.69 GH =

Heightof Monopole Basic Design Wind speed for the structure Gust Response of Monopole as per Section 2.3.4.2 of TIA-EIA_222-F

To satisfy Section 2.3.9.3 of TIA-EIA-222-F, Calculate pressures on each section using two parts.

SECTION PROPERTIES h= L= DB = DM = DT =

16 9 1 .1 2 6 1 .0 6 3 1 .0 0 0

m m m m m

Section base elevation Length of section Bottom Diameter of Section Midpoint Diameter of Section Top Diameter of Section

CALCULATIONS y1 = y1 =

[(2DT + DM)/3(DT + DM)]*(L/2) 2.2270965 m

Center of A1 of Section from midbase

y2 = y2 =

[(2DM + DB)/3*(DM + DB)]*(L/2) 2.2284148 m

Center of A2 of Section from base

A1 = A1 =

(DT + DM)*(L/2)/2 4.64175 sqm

Area of Top Section

A2 = A2 =

(DM + DB)*(L/2)/2 4.92525 sqm

Area of Bottom Section

z1 = z1 =

h + L/2 + y1 22.727096 m

Distance of center of A1 to base of section

z2 = z2 =

h + y2 18.228415 m

Distance of center of A2 to base of section

Kz1 = Kz1 =

(z1/10)^2/7 1.2643525

Kz1 =

1.26

Kz2 = Kz2 =

(z2/10)^2/7 1.1871308

Kz2 =

1.19

Exposure Coefficient at A1 1 < Kz < 2.58

Input Value Exposure Coefficient at A2 1 < Kz < 2.58

Input Value

qz1 = qz1 =

0.613*Kz1*v^2 949.1692

Velocity Pressure at A1

qz2 = qz2 =

0.613*Kz2*v^2 891.34798

Velocity Pressure at A2

F1= F1 = F1 =

GH*qz1*A1 7445.8124 N 7.4458124 kN

F2= F2 = F2 =

GH*qz2*A2 7419.2886 N 7.4192886 kN

F1*z1 =

169.2217 kN-m

F2*z2 =

135.24187 kN-m

z equivalent (F1*z1 + F2*z2)/(F1+ F2) z equivalent 20.481769 m

Equivalent Distance of the center of the Section to its base

qzequivalent (F1 + F2)/(1.69*(A1 + A2) qzequivalent 919.40188 kPa

Equivalent Velocity Pressure of Section

Kzequivalent (zequivalent/10)^2/7 Kzequivalent 1.2273284

Equivalent Exposure of the Section

GH*qzequivalent*AT =

14865.1

C=

(Kzequivalent^0.50)*V*Dp

C=

25.178181

CF =

0.72

>

8.7

Table 1

Input value as per Table 1

FAST PLANETS ENGINEERING DESIGN CONSULTANTS Project Name: Designed by:

Date:

ZND903_A FCFalgui

51211

ANALYSIS OF MONOPOLE

SECTION 2 Analysis Criteria: Determine Wind Pressures 25 m H= 35 m/s V= 1.69 GH =

Heightof Monopole Basic Design Wind speed for the structure Gust Response of Monopole as per Section 2.3.4.2 of TIA-EIA_222-F

To satisfy Section 2.3.9.3 of TIA-EIA-222-F, Calculate pressures on each section using two parts.

SECTION PROPERTIES h= L= DB = DM = DT =

7 9 1.256 1.191 1

m m m m m

Section base elevation Length of section Bottom Diameter of Section Midpoint Diameter of Section Top Diameter of Section

CALCULATIONS y1 = y1 =

[(2DT + DM)/3(DT + DM)]*(L/2) 2.22896 m

Center of A1 of Section from midbase

y2 = y2 =

[(2DM + DB)/3*(DM + DB)]*(L/2) 2.230078 m

Center of A2 of Section from base

A1 = A1 =

(DT + DM)*(L/2)/2 5.21325 sqm

Area of Top Section

A2 = A2 =

(DM + DB)*(L/2)/2 5.50575 sqm

Area of Bottom Section

z1 = z1 =

h + L/2 + y1 13.72896 m

Distance of center of A1 to base of section

z2 = z2 =

h + y2 9.230078 m

Distance of center of A2 to base of section

Kz1 = Kz1 =

(z1/10)^2/7 1.094774

Kz1 =

1.09

Kz2 = Kz2 =

(z2/10)^2/7 0.97737

Kz2 =

1.00

Exposure Coefficient at A1 1 < Kz < 2.58

Input Value Exposure Coefficient at A2 1 < Kz < 2.58

Input Value

qz1 = qz1 =

0.613*Kz1*v^2 822.0931

Velocity Pressure at A1

qz2 = qz2 =

0.613*Kz2*v^2 750.925

Velocity Pressure at A2

F1= F1 = F1 =

GH*qz1*A1 7242.963 N 7.242963 kN

F2= F2 = F2 =

GH*qz2*A2 6987.145 N 6.987145 kN

F1*z1 =

99.43835 kN-m

F2*z2 =

64.49189 kN-m

z equivalent (F1*z1 + F2*z2)/(F1+ F2) z equivalent 11.51996 m

Equivalent Distance of the center of the Section to its base

qzequivalent (F1 + F2)/(1.69*(A1 + A2) qzequivalent 785.538 kPa

Equivalent Velocity Pressure of Section

Kzequivalent (zequivalent/10)^2/7 Kzequivalent 1.041255

Equivalent Exposure of the Section

GH*qzequivalent*AT = C= C=

CF =

14230.11

(Kzequivalent^0.50)*V*Dp 15.77446

0.72

>

8.7

Table 1

Input value as per Table 1

FAST PLANETS ENGINEERING DESIGN CONSULTANTS Project Name: Designed by:

Date:

ZND903_A FCFalgui

51211

ANALYSIS OF MONOPOLE

SECTION 3 Analysis Criteria: Determine Wind Pressures 25 m H= 35 m/s V= 1.69 GH =

Heightof Monopole Basic Design Wind speed for the structure Gust Response of Monopole as per Section 2.3.4.2 of TIA-EIA_222-F

To satisfy Section 2.3.9.3 of TIA-EIA-222-F, Calculate pressures on each section using two parts.

SECTION PROPERTIES h= L= DB = DM = DT =

0 7 1.350 1.303 1.256

m m m m m

Section base elevation Length of section Bottom Diameter of Section Midpoint Diameter of Section Top Diameter of Section

CALCULATIONS y1 = y1 =

[(2DT + DM)/3(DT + DM)]*(L/2) 1.739286 m

Center of A1 of Section from midbase

y2 = y2 =

[(2DM + DB)/3*(DM + DB)]*(L/2) 1.739666 m

Center of A2 of Section from base

A1 = A1 =

(DT + DM)*(L/2)/2 4.47825 sqm

Area of Top Section

A2 = A2 =

(DM + DB)*(L/2)/2 4.64275 sqm

Area of Bottom Section

z1 = z1 =

h + L/2 + y1 5.239286 m

Distance of center of A1 to base of section

z2 = z2 =

h + y2 1.739666 m

Distance of center of A2 to base of section

Kz1 = Kz1 =

(z1/10)^2/7 0.831368

Kz1 =

1.00

Kz2 = Kz2 =

(z2/10)^2/7 0.606727

Kz2 =

1.00

Exposure Coefficient at A1 1 < Kz < 2.58

Input Value Exposure Coefficient at A2 1 < Kz < 2.58

Input Value

qz1 = qz1 =

0.613*Kz1*v^2 750.925

Velocity Pressure at A1

qz2 = qz2 =

0.613*Kz2*v^2 750.925

Velocity Pressure at A2

F1= F1 = F1 =

GH*qz1*A1 5683.182 N 5.683182 kN

F2= F2 = F2 =

GH*qz2*A2 5891.943 N 5.891943 kN

F1*z1 =

29.77582 kN-m

F2*z2 =

10.25001 kN-m

z equivalent (F1*z1 + F2*z2)/(F1+ F2) z equivalent 3.457918 m

Equivalent Distance of the center of the Section to its base

qzequivalent (F1 + F2)/(1.69*(A1 + A2) qzequivalent 750.925 kPa

Equivalent Velocity Pressure of Section

Kzequivalent (zequivalent/10)^2/7 Kzequivalent 0.738303

Equivalent Exposure of the Section

GH*qzequivalent*AT = C= C=

CF =

11575.13

(Kzequivalent^0.50)*V*Dp 5.654304

0.72

>

8.7

Table 1

Input value as per Table 1

FAST PLANETS ENGINEERING DESIGN CONSULTANTS Project Name: Designed by:

Date:

ZND903_A FCFalgui

Determine Wind Pressures 25 m H= 39 m/s V= 1.69 GH =

51211

Heightof Monopole Basic Design Wind speed for the structure Gust Response of Monopole as per Section 2.3.4.2 of TIA-EIA-222-F.

Qualifying Criteria for Force Coefficient, C F for Cantilevered Tubular pole Structures as per Section 2.3.5.2 of TIA-EIA-222-F. C=

(Kiz^0.50)*V*Dp

C=

#VALUE!

CF =

0.72

F=

qz*GH*CF*AR

OTM =

F*zequivalent

>

8.7

Table 1

Input value as per Table 1

TABLE II - 25.0M SELF-SUPPORTING MONOPOLE TOWER Typical tower wind load distribution as per section in normal to the tower face. H=

25

m

Heightof Monopole

V=

35

m/s

Basic Design Wind speed for the structure

GH =

1.69

Gust Response of Monopole as per Section 2. of TIA-EIA_222-F

SECTION 1 2 3

AG(sq.m.)

AR(sq.m.)

GH*qZ*AG

9.567 10.719 9.121

9.854 11.041 9.395

14865.10 14230.11 11575.13

qz*GH*CF*AR(kN zequivalent(m)

105.47 113.12 78.30

OTM(kN-m)

20.482 11.520 3.458 Total =

2160.13 1303.12 270.740

3733.99

Table I - Wind load on antenna support pipe and other mounted pole structures.

 25 m

Tower ht. =  Wind speed = Gh1 = Actual Loads

LR

1

39 m/s 1.00
20ømmx2.0m

Dept

GSM

Sec.2.3.4.1 of TIA-EIA-222-F

Length, l

Diameter, d

Appurtenance

(mm)

(mm)

c/l Elev., (m)

2000

20.0

26.00

Kz

1.313

multiplied by 1.25, to compensate for the greater gust response for mounted pole structure (EIA/TIA-222-E, Sec. 2.3.4.4)

.4.2

kN-m

Pressure qz (kPa)

C

1.224

0.894

CF

Force, Fc

(C<4.40)

(kN/m)

1.200

0.043