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Wind Calculation for Canopy

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(1)

Design Documents

Fabric Canopy

Project:

(2)

Design of Steel frame canopy.

2. Materials:

Structural Steel

Structural steel shall be designed in accordance with the specification given in steel

construction manual - AISC 14

th

edition – LRFD Method.

Structural Steel Shapes:

Shapes

ASTM Designation

Mechanical Properties

W

A992

F

y

= 50 ksi F

u

= 65 ksi

HSS

A500 Gr. B

F

y

= 46 ksi F

u

= 58 ksi

Plate

A36

F

y

= 36 ksi F

u

= 58 ksi

3. Criteria and Approach for design of Framing for Gravity Loads:

Loads are calculated for the Framing members & they are checked in bending, shear and

deflection.

4. Loading:

Dead Load

=

3 psf

Live Load

=

5 psf

(3)

5. Load Combinations

1.2DL+1.6LL

1.2DL + 1.6LL + 0.5WL

1.2DL+ 1.0 WL + 1.0LL

0.9DL + 1.0WL

6. Serviceabiltiy

Combinations

(For Deflection Check)

1.0LL

1.0DL + 1.0LL

1.0DL + 0.5LL + 0.7WL

7. Deflection Limits

1.0LL

=

L/360

1.0DL + 1.0LL

=

L/240

1.0DL + 0.5LL + 0.7WL

=

H/120

(4)

WIND LOAD CALCULATIONS

-

For Monoslope Roof

Mean Roof Height

=

16-6”

Exposure Category

=

“C”

(Refer 1609.4 IBC2012)

Ө

=

00

For Flat roof, the net design wind pressure is given by

P

=

q

h

G C

p

– q

i

(G C

pi

)

(ASCE 7-10, section 27.4.1)

Where,

q

h

=

0.00256 K

z

K

zt

K

d

V

2

Kz

=

0.865

(AISC, Table 27.3-1. For ht

15ft and Exposure C)

Kzt

=

1

Kd

=

0.85

(AISC, Table 26.6-1)

V

=

115 mph

Therefore,

q

h

=

0.00256 (0.865)(1)(0.85)(115)

2

=

24.89 psf

G

=

0.85

C

pi

=

+0.18

For Enclosed buildings ,(AISC, Table 26.11-1)

(5)

-

Wind load of canopy Roof are calculated based on ASCE 7-10, Chapter 30, and Part 1 section

30.1.1“Wind Load -Components and Cladding”

WIND LOADING ANALYSIS - Roof Components and Cladding

Per ASCE 7-10 Code for Bldgs. of Any Height with Gable Roof <= 45o or Monoslope Roof <= 3o

Using Part 1 & 3: Analytical Procedure (Section 30.4 & 30.6)

Job Name: CANOPY Subject:

Job Number: AZ15156 Originator: Checker:

Input Data:

Wind Speed, V = 115 mph (Wind Map, Figure 26.5-1A-C) Bldg. Classification = II (Table 1-1 Occupancy Category) Exposure Category = C (Sect. 26.7)

Ridge Height, hr = 16.50 ft. (hr >= he) Eave Height, he = 16.50 ft. (he <= hr)

Building Width = 20.42 ft. (Normal to Building Ridge) Building Length = 34.08 ft. (Parallel to Building Ridge)

Roof Type = Monoslope (Gable or Monoslope) Topo. Factor, Kzt = 1.00 (Sect. 26.8 & Figure 26.8-1) Direct. Factor, Kd = 0.85 (Table 26.6)

Enclosed? (Y/N) Y (Sect. 28.6-1 & Figure 26.11-1) Hurricane Region? N

Component Name = Decking (Purlin, Joist, Decking, or Fastener) Effective Area, Ae = 695.92 ft.^2 (Area Tributary to C&C)

Overhangs? (Y/N) N (if used, overhangs on all sides)

Resulting Parameters and Coefficients:

Roof Angle,  = 0.00 deg.

Mean Roof Ht., h = 16.50 ft. (h = he, for roof angle <=10 deg.) Roof External Pressure Coefficients, GCp:

GCp Zone 1-3 Pos. = 0.20 (Fig. 30.4-2A, 30.4-2B, and 30.4-2C) GCp Zone 1 Neg. = -0.90 (Fig. 30.4-2A, 30.4-2B, and 30.4-2C) GCp Zone 2 Neg. = -1.10 (Fig. 30.4-2A, 30.4-2B, and 30.4-2C) GCp Zone 3 Neg. = -1.10 (Fig. 30.4-2A, 30.4-2B, and 30.4-2C) Positive & Negative Internal Pressure Coefficients, GCpi

(Figure 26.11-1):

+GCpi Coef. = 0.18 (positive internal pressure) -GCpi Coef. = -0.18 (negative internal pressure)

If z <= 15 then: Kz = 2.01*(15/zg)^(2/) , If z > 15 then: Kz = 2.01*(z/zg)^(2/) (Table 30.3-1)

 = 9.50 (Table 26.9-1) zg = 900 (Table 26.9-1)

(6)

Velocity Pressure: qz = 0.00256*Kz*Kzt*Kd*V^2 (Sect. 30.3.2, Eq. 30.3-1)

qh = 24.92 psf qh = 0.00256*Kh*Kzt*Kd*V^2 (qz evaluated at z = h)

Design Net External Wind Pressures (Sect. 30.4 & 30.6): For h <= 60 ft.: p = qh*((GCp) - (+/-GCpi)) (psf)

For h > 60 ft.: p = q*(GCp) - qi*(+/-GCpi) (psf) where: q = qh for roof

qi = qh for roof (conservatively assumed per Sect. 30.6)

Wind Load Tabulation for Roof Components & Cladding

Component z Kh qh p = Net Design Pressures (psf)

(ft.) (psf) Zone 1,2,3(+) Zone 1 (-) Zone 2(-) Zone 3(-)

Decking 0 0.87 24.92 9.47 -26.92 -31.90 -31.90

15.00 0.87 24.92 9.47 -26.92 -31.90 -31.90

For z = hr: 16.50 0.87 24.92 9.47 -26.92 -31.90 -31.90

For z = he: 16.50 0.87 24.92 9.47 -26.92 -31.90 -31.90

For z = h: 16.50 0.87 24.92 9.47 -26.92 -31.90 -31.90

Notes: 1. (+) and (-) signs signify wind pressures acting toward & away from respective surfaces. 2. Width of Zone 2 (edge), 'a' = 3.00 ft.

3. Width of Zone 3 (corner), 'a' = 3.00 ft.

4. For monoslope roofs with  <= 3 degrees, use Fig. 30.4-2A for 'GCp' values with 'qh'. 5. For buildings with h > 60' and  > 10 degrees, use Fig. 30.6-1 for 'GCpi' values with 'qh'. 6. For all buildings with overhangs, use Fig. 30.4-2B for 'GCp' values per Sect. 30.10. 7. If a parapet >= 3' in height is provided around perimeter of roof with  <= 10 degrees, Zone 3 shall be treated as Zone 2.

8. Per Code Section 30.2.2, the minimum wind load for C&C shall not be less than 16 psf.

-

-31.90 psf governs the wind force on Roof.

(7)

30.1.1“Wind Load -Components and Cladding”

For West Elevation:

WIND LOADING ANALYSIS - Wall Components and Cladding

Per ASCE 7-10 Code for Buildings of Any Height Using Part 1 & 3:

Analytical Procedure (Section 30.4 & 30.6)

Job Name: CANOPY Subject:

Job Number: AZ15156 Originator: Checker:

Input Data:

Wind Speed, V = 115 mph (Wind Map, Figure 26.5-1A-C) Bldg. Classification = II (Table 1.5-1 Risk Category) Exposure Category = C (Sect. 26.7)

Ridge Height, hr = 16.50 ft. (hr >= he) Eave Height, he = 16.50 ft. (he <= hr)

Building Width = 20.42 ft. (Normal to Building Ridge) Building Length = 34.08 ft. (Parallel to Building Ridge)

Roof Type = Monoslope

(Gable or Monoslope)

Topo. Factor, Kzt = 1.00 (Sect. 26.8 & Figure 26.8-1) Direct. Factor, Kd = 0.85 (Table 26.6)

Enclosed? (Y/N) Y (Sect. 28.6-1 & Figure 26.11-1) Hurricane Region? N

Component Name = Wall (Girt, Siding, Wall, or Fastener) Effective Area, Ae = 323.76 ft.^2 (Area Tributary to C&C)

Resulting Parameters and Coefficients:

Roof Angle,  = 0.00 deg.

Mean Roof Ht., h = 16.50 ft. (h = he, for roof angle <=10 deg.) Wall External Pressure Coefficients, GCp:

GCp Zone 4 Pos. = 0.66 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 5 Pos. = 0.66 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 4 Neg. = -0.75 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 5 Neg. = -0.78 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) Positive & Negative Internal Pressure Coefficients, GCpi

(Figure 26.11-1):

+GCpi Coef. = 0.18 (positive internal pressure) -GCpi Coef. = -0.18 (negative internal pressure)

(8)

zg = 900 (Table 26.9-1)

Kh = 0.87 (Kh = Kz evaluated at z = h) Velocity Pressure: qz = 0.00256*Kz*Kzt*Kd*V^2 (Sect.

30.3.2, Eq. 30.3-1)

qh = 24.92 psf

qh = 0.00256*Kh*Kzt*Kd*V^2 (qz evaluated at z = h)

Design Net External Wind Pressures (Sect. 30.4 & 30.6): For h <= 60 ft.: p = qh*((GCp) - (+/-GCpi)) (psf)

For h > 60 ft.: p = q*(GCp) - qi*(+/-GCpi) (psf) where: q = qz for windward walls, q = qh for leeward walls and side walls

qi = qh for all walls (conservatively assumed per Sect. 30.6)

Wind Load Tabulation for Wall Components & Cladding

Component z Kh qh p = Net Design Pressures (psf)

(ft.) (psf) Zone 4 (+) Zone 4 (-) Zone 5(+) Zone 5(-)

Wall 0 0.87 24.92 20.94 -23.18 20.94 -23.93

15.00 0.87 24.92 20.94 -23.18 20.94 -23.93

For z = hr: 16.50 0.87 24.92 20.94 -23.18 20.94 -23.93

For z = he: 16.50 0.87 24.92 20.94 -23.18 20.94 -23.93

For z = h: 16.50 0.87 24.92 20.94 -23.18 20.94 -23.93

Notes: 1. (+) and (-) signs signify wind pressures acting toward & away from respective surfaces. 2. Width of Zone 5 (end zones), 'a' = 3.00 ft.

3. Per Code Section 30.2.2, the minimum wind load for C&C shall not be less than 16 psf.

-

-23.93 psf governs the wind force on fabric. (For West Elevation)

(9)

30.1.1“Wind Load -Components and Cladding”

For North & South Elevation:

WIND LOADING ANALYSIS - Wall Components and Cladding

Per ASCE 7-10 Code for Buildings of Any Height Using Part 1 & 3:

Analytical Procedure (Section 30.4 & 30.6)

Job Name: CANOPY Subject:

Job Number: AZ15156 Originator: Checker:

Input Data:

Wind Speed, V = 115 mph (Wind Map, Figure 26.5-1A-C) Bldg. Classification = II (Table 1.5-1 Risk Category) Exposure Category = C (Sect. 26.7)

Ridge Height, hr = 16.50 ft. (hr >= he) Eave Height, he = 16.50 ft. (he <= hr)

Building Width = 20.42 ft. (Normal to Building Ridge) Building Length = 34.08 ft. (Parallel to Building Ridge)

Roof Type = Monoslope

(Gable or Monoslope)

Topo. Factor, Kzt = 1.00 (Sect. 26.8 & Figure 26.8-1) Direct. Factor, Kd = 0.85 (Table 26.6)

Enclosed? (Y/N) Y (Sect. 28.6-1 & Figure 26.11-1) Hurricane Region? N

Component Name = Wall (Girt, Siding, Wall, or Fastener) Effective Area, Ae = 193.99 ft.^2 (Area Tributary to C&C)

Resulting Parameters and Coefficients:

Roof Angle,  = 0.00 deg.

Mean Roof Ht., h = 16.50 ft. (h = he, for roof angle <=10 deg.) Wall External Pressure Coefficients, GCp:

GCp Zone 4 Pos. = 0.70 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 5 Pos. = 0.70 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 4 Neg. = -0.79 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) GCp Zone 5 Neg. = -0.85 (Fig. 30.4-1, GCp is reduced by 10% for roof angle <=10 deg. ) Positive & Negative Internal Pressure Coefficients, GCpi

(Figure 26.11-1):

+GCpi Coef. = 0.18 (positive internal pressure) -GCpi Coef. = -0.18 (negative internal pressure)

(10)

zg = 900 (Table 26.9-1)

Kh = 0.87 (Kh = Kz evaluated at z = h) Velocity Pressure: qz = 0.00256*Kz*Kzt*Kd*V^2 (Sect. 30.3.2, Eq. 30.3-1)

qh = 24.92 psf

qh = 0.00256*Kh*Kzt*Kd*V^2 (qz evaluated at z = h)

Design Net External Wind Pressures (Sect. 30.4 & 30.6): For h <= 60 ft.: p = qh*((GCp) - (+/-GCpi)) (psf)

For h > 60 ft.: p = q*(GCp) - qi*(+/-GCpi) (psf) where: q = qz for windward walls, q = qh for leeward walls and side walls

qi = qh for all walls (conservatively assumed per Sect. 30.6)

Wind Load Tabulation for Wall Components & Cladding

Component z Kh qh p = Net Design Pressures (psf) (ft.) (psf) Zone 4 (+) Zone 4 (-) Zone 5(+) Zone 5(-)

Wall 0 0.87 24.92 21.82 -24.06 21.82 -25.69

15.00 0.87 24.92 21.82 -24.06 21.82 -25.69

For z = hr: 16.50 0.87 24.92 21.82 -24.06 21.82 -25.69

For z = he: 16.50 0.87 24.92 21.82 -24.06 21.82 -25.69

For z = h: 16.50 0.87 24.92 21.82 -24.06 21.82 -25.69

Notes: 1. (+) and (-) signs signify wind pressures acting toward & away from respective surfaces. 2. Width of Zone 5 (end zones), 'a' = 3.00 ft.

3. Per Code Section 30.2.2, the minimum wind load for C&C shall not be less than 16 psf.

-

-25.69 psf governs the wind force on fabric. (For North & South Elevation)

(11)

P = q

h

G C

f

A

s

From Figure 29.5-1, C

f

is given by

HSS 5x5x3/8” Column

h/D

=

16.5/0.42

=

39.6

C

f

=

2.0

Therefore,

P = 24.92(0.85)(2.0)(0.42)

= 17.79 plf

References

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