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determining wind and snow
loads for solar panels
America’s Authority on Solar
The purpose of this paper is to discuss the mechanical
design of photovoltaic systems for wind and snow
loads in the United States, and provide guidance
using The American Society of Civil Engineers (ASCE)
Minimum Design Loads for Buildings and Other
Structures, ASCE 7-05 and ASCE 7-10 as appropriate.
With the introduction of the ASCE 7-10, there are two
potential design principles used for calculating wind
and snow loads for PV systems in the U.S. until all state
building codes have transitioned to ASCE 7-10. This
paper will show how to calculate for wind and snow
loads using both design principles.
SolarWorld modules have been tested according
to UL and IEC standards and the maximum design
loads for various mounting methods are provided
in the Sunmodule User Instruction guide. Once we
have gone through the sample calculations and
have the applicable wind and snow loads, we will
compare them to SolarWorld’s higher mechanical
load capacities to ensure that the Sunmodule solar
modules are in compliance.
As one of the largest and most established vertically integrated photovoltaic
(PV) manufacturers on the planet, SolarWorld is intimately involved with every
step of the solar PV value chain from raw silicon to installed systems to end of
life recycling. This complete knowledge base combined with our extensive
history provide the critical insight required to lead the solar industry on
technical topics.
introduction
Determining wind and snow loads for solar panels 1
The design methodology in this document has been third party reviewed. Please see certiied letter at the end of this document for more details.
Determining wind and snow loads for solar panels 2
U.S. model building codes have used ASCE 7-05 as the
basis for several years, which largely follows the design
principles of Allowable Stress Design. Recently ASCE
7-10 was published and has become the basis for the
2012 series of the International Codes (I-Codes). ASCE
7-10 represents a shift in design principles toward Load
Resistance Factor Design. A few states have already
adopted the 2012 International Building Code 2012
(IBC) that includes references to ASCE 7-10 and, for the
irst time, speciically mentions PV systems. There are
several key differences between these two versions
of ASCE 7 standards. This paper provides sample
calculations following both ASCE 7 standards that are
relected in the 2012 IBC and earlier versions.
Figure 1. A typical rooftop solar installation.
Determining wind and snow loads for solar panels 3
iBc 2012 (asce 7-10) code references
1509.7.1 Wind resistance. Rooftop mounted pho-
tovoltaic systems shall be designed for wind loads
for component and cladding in accordance with
Chapter 16 using an effective wind area based on
the dimensions of a single unit frame.
1603.1.4 Wind Design data. The following information
related to wind loads shall be shown, regardless of
whether wind loads govern the design of the lateral
force resisting system of the structure:
1) Ultimate design wind speed, V
2) Risk category
3) Wind Exposure
4) Internal pressure coeficient
5) Component and cladding
1608.1 Design snow loads shall be determined
in accordance with Chapter 7 of ASCE 7, but
the design roof load shall not be less than that
determined by section 1607.
1609.1.1 Determination of wind loads. Wind loads
on every building or structure shall be determined
in accordance with Chapter 26 to 36 of ASCE 7 or
provisions of the alternate all-heights method in
section 1606.6.
1609.4.1 Wind Directions and Sectors. For each
selected wind direction at which the wind loads
are to be evaluated, the exposure of the building
or structure shall be determined for the two upwind
sectors extending 45 degrees either side of the
selected wind direction. The exposures in these two
sectors shall be determined in accordance with
Section 1609.4.2 and 1609.4.3 and the exposure
resulting in the highest wind loads shall be used to
represent wind from that direction.
iBc 2009 (asce 7-05) code references
1608.1 Design snow loads shall be determined
in accordance with Chapter 7 of ASCE 7, but
the design roof load shall not be less than that
determined by Section 1607.
1603.1.4 Wind Design Data
1) Basic wind
2) Wind importance factor
3) Wind exposure
4) The applicable internal pressure coeficient
5) Components and cladding
1609.1.1 Wind loads on every building or structure
shall be determined in accordance with Chapter 6
of ASCE 7.
Table 1609.3.1, which converts from 3-second gusts
to fastest-mile wind speeds.
1609.4.1 Wind Directions and Sectors
1) Select wind direction for wind loads to be evaluated.
2) Two upwind sectors extending 45 degrees from either
side of the chosen wind direction are the markers.
3) Use Section 1609.4.2 and Section 1609.4.3 to
determine the exposure in those sectors.
4) The exposure with the highest wind loads is chosen
for that wind direction.
1609.4.2 Surface Roughness Categories
1) Surface roughness B: Urban, suburban, wooded,
closely spaced obstructions.
2) Surface roughness C: Open terrain with few
obstructions (generally less than 30 feet), lat open
country, grasslands, water surfaces in hurricane-
prone regions.
3) Surface roughness D: Flat areas and water surfaces
outside of hurricane prone regions, smooth mud
lats, salt lats, unbroken ice.
Below are the portions of the code that will be referenced in the sample calculations:
Determining wind and snow loads for solar panels 4
In this paper, examples explain step-by-step
procedures for calculating wind and snow loads
on PV systems with the following qualiications in
accordance with ASCE.
The recommended chapter references for ASCE 7-05 are:
■ Chapter 2 – Load Combinations
■ Chapter 6 – Wind Load Calculations
■ Chapter 7 – Snow Load Calculations
In ASCE 7 -10, the chapters have been re-organized
and provide more detailed guidance on certain
topics. The recommended chapter references are:
■ Chapter 2 – Load Combinations
■ Chapter 7 – Snow Load Calculations
■ Chapters 26 – 31 Wind Load Calculations
example calculations:
In the following examples, we outline how a designer
should calculate the effect of wind and snow loads
on a PV module for residential and commercial
buildings based on few assumptions and using the
Low-Rise Building Simpliied Procedure.
■ ASCE 7-05: Section 6.4
■ ASCE 7-10: Section 30.5
In the Simpliied Method the system must have the
following qualiications (see ASCE 7.05 section 6.4.1.2
or ASCE 7-10 section 30.5.1 for further explanation):
■ The modules shall be parallel to surface of the roof
with no more than 10 inches of space between
the roof surface and bottom of the PV module.
■ The building height must be less than 60 feet.
■ The building must be enclosed, not open or
partially enclosed structure like carport.
■ The building is regular shaped with no unusual
geometrical irregularity in spatial form, for
example a geodesic dome.
■ The building is not in an extreme geographic
location such as a narrow canyon a steep cliff.
■ The building has a lat or gable roof with a pitch
less than 45 degrees or a hip roof with a pitch less
than 27 degrees.
In case of designing more complicated projects the
following sections are recommended:
■ ASCE 7-05: Section 6.5.13.2
■ ASCE 7-10: Section 30.8
example 1 - residential structure in colorado:
system details:
■ Location: Colorado
■ Terrain: Urban, suburban, wooded, closely spaced
obstructions
■ Exposure: Class B
■ Building Type: Single-story residential (10- to 15-feet tall)
■ Mean height of roof: ~12.33 feet
■ Building Shape: Gable roof with 30° pitch (7:12)
■ System: Two Rail System; attached module at four
points along the long side between 1/8 to 1/4
points as described in the SolarWorld Sunmodule
User Instruction guide
■ Module area: 18.05 ft (Reference: Sunmodule
datasheet)
■ Module weight: 46.7 lbs (Reference: Sunmodule
datasheet)
■ Site ground snow load (Pg
): 20 psf
Determining wind and snow loads for solar panels 5
sYmBols and notations
wind
■ I = Importance factor
■ Kzt
= Topographic factor
■ P = Design pressure to be used in determination of
wind loads for buildings
■ Pnet30
= Net design wind pressure for exposure B at
h = 30 feet and I = 1.0
■ V = Basic wind speed
■ λ = Adjustment factor for building height and
exposure
■ Zone 1 = Interiors of the roof (Middle)
■ Zone 2 = Ends of the roof (Edge)
■ Zone 3 = Corners of the roof
snow
■ Ce
= Exposure factor
■ Cs
= Slope factor
■ Ct
= Thermal factor
■ I = Importance factor
■ Pf
= Snow load on lat roof
■ Pg
= Ground snow load
■ Ps
= Sloped roof snow load
load combination
■ D* = Dead load
■ E = Earthquake load
■ F = Load due to luids with well-deined pressures
and maximum heights
■ H = Load due to lateral earth pressure, ground
water pressure or pressure of bulk materials
■ L = Live load
■ Lr
= Roof live load
■ R = Rain load
■ S* = Snow load
■ T = Self-straining load
■ W* = Wind load
* In this white paper we only use dead, snow and wind loads.
Gable Roof
Hip Roof
Interior Zones
Roofs - Zone 1
Interior Zones
Roofs - Zone 2
Interior Zones
Roofs - Zone 3
Determining wind and snow loads for solar panels 6
asce 7-10 (iBc 2012)
steps in wind design:
1. Determine risk category from Table 1.5-1
■ Risk category type II
2. Determine the basic wind speed, V, for applicable
risk category (see Figure 26.5-1 A, B, C)
■ Wind speed in Colorado is V = 115 mph
(excluding special wind regions)
3. Determine wind load parameters:
■ Exposure category B, C or D from Section 26.7
● Exposure B
■ Topographic factor, Kzt
, from Section 26.8 and
Figure 26.8-1
● Kzt
= 1.0
4. Determine wind pressure at h = 30 ft, Pnet30
, from
igure 30.5-1
5. Determine adjustment for building height and
exposure, λ, from Figure 30.5-1
■ Adjustment factor for Exposure B is λ = 1.00
6. Determine adjusted wind pressure, Pnet
, from
Equation 30.5-1
■ Pnet
= λKzt
Pnet30
Wind effective area is the pressure area on the
module that is distributed between four mounting
clamps. Each mid-clamp takes one-quarter of the
pressure and holds two modules which are equal to
one-half area of one module.
■ Area of module is 18.05 square feet.
■ Effective area is ~10 square feet.
Pnet
for wind speed of 115 mph and the wind
effective area of 10 ft2
:
asce 7-05 (iBc 2009)
steps in wind design:
1. Determine risk category from Table 1.5-1
■ Risk category type II
2. Determine the basic wind speed, V, for
applicable risk category (see Figure 6-1 A, B, C)
■ Wind speed in Colorado is V = 90 mph
(excluding special wind regions)
3. Determine wind load parameters:
■ Exposure category B, C or D from Section 6.5.6.3
● Exposure B
■ Topographic factor, Kzt
, from Section 6.5.7.2
● Kzt
= 1.0
4. Determine wind pressure at h = 30 ft, Pnet30
, from
Figure 6.3
5. Determine adjustment for building height and
exposure, λ, from Figure 6.3
■ Adjustment factor for Exposure B is λ = 1.00
6. Determine adjusted wind pressure, Pnet
, from
Equation 6-1
■ Pnet
= λKzt
Pnet30
Wind effective area is the pressure area on the
module that is distributed between four mounting
clamps. Each mid-clamp takes one-quarter of the
pressure and holds two modules which are equal to
one-half area of one module.
■ Area of module is 18.05 square feet.
■ Effective area is ~10 square feet.
Pnet
for wind speed of 90 mph and the wind effective
area of 10 ft2
:
Determining wind and snow loads for solar panels 7
asce 7-10 (iBc 2012) (cont'd)
Zone 1
■ Downward: +21.8 psf
■ Upward: -23.8 psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 21.8 = 21.8 psf
Pup
= 1 * 1 * -23.8 = -23.8 psf
Zone 2
■ Downward: +21.8 psf
■ Upward: -27.8 psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 21.8 = 21.8 psf
Pup
= 1 * 1 * -27.8 = -27.8 psf
Zone 3
■ Downward: +21.8 psf
■ Upward: -27.8 psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 21.8 = 21.8 psf
Pup
= 1 * 1 * -27.8 = -27.8 psf
steps in snow design:
1. For sloped roof snow loads Ps
= Cs
x Pf
2. Pf
is calculated using Equation 7.3-1
■ Pf
= 0.7 x Ce
x Ct
x Is
x Pg
3. When ground snow load is less than or equal to
20 psf then the minimum Pf
value is I * 20 psf. (7.3.4)
4. Find exposure factor from Table 7-2, in category B
and fully exposed roof
■ Ce
= 0.9
asce 7-05 (iBc 2009) (cont'd)
Zone 1
■ Downward: +13.3 psf
■ Upward: -14.6 psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 13.3 = 13.3 psf
Pup
= 1 * 1 * -14.6 = -14.6 psf
Zone 2
■ Downward: +13.3 psf
■ Upward: -17psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 13.3 = 13.3 psf
Pup
= 1 * 1 * -17 = -17 psf
Zone 3
■ Downward: +13.3 psf
■ Upward: -17psf
Pnet
= λKzt
Pnet30
PDown
= 1 * 1 * 13.3 = 13.3 psf
Pup
= 1 * 1 * -17 = -17 psf
steps in snow design:
1. For sloped roof snow loads Ps
= Cs
x Pf
2. Pf
is calculated using Equation 7.3-1
■ Pf
= 0.7 x Ce
x Ct
x Is
x Pg
3. When ground snow load is less than or equal to
20 psf then the minimum Pf
value is I * 20 psf. (7.3.4)
4. Find exposure factor from Table 7-2, in category B
and fully exposed roof
■ Ce
= 0.9
Determining wind and snow loads for solar panels 8
asce 7-10 (iBc 2012) (cont'd)
5. Determine thermal factor using Table 7-3, for
unheated and open air structures
■ Ct
= 1.2
6. Find the importance factory from Table 1.5-2
■ Is
= 1.00 (7-10)
7. Using Section 7.4 determine Cs
. Using above
values and θ = 30°
■ Cs
= 0.73
Pf
= 0.7 x Ce
x Ct
x Is
x Pg
Pg
≤ 20 lbs
Pg
is the ground snow load and cannot be used
instead of the inal snow load Pf
for the sloped roof
in our load combinations' equations. We need to
calculate the sloped roof snow load as follows:
Pf
= 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20
Ps
= Cs
x Pf
Ps
= 0.73 * 20 = 14.6 psf
load combinations: (lrfd)
Basic combinations Section 2.3.2, according to ASCE
7-10 structures, components and foundations shall
be designed so that their design strength equals
or exceeds the effects of the factored loads in the
following combinations:
1) 1.4D
2) 1.2D + 1.6L + 0.5 (Lr
or S or R)
3) 1.2D + 1.6 (Lr
or S or R) + (L or 0.5W)
4) 1.2D + 1.0W + L + 0.5 (Lr or S or R)
5) 1.2D + 1.0E + L + 0.2S
6) 0.9D + 1.0W
7) 0.9D + 1.0E
asce 7-05 (iBc 2009) (cont'd)
5. Determine thermal factor using Table 7-3, for
unheated and open air structures
■ Ct
= 1.2
6. Find the importance factory from Table 7-4
■ Is
= 1.0 (7-05)
7. Using Section 7.4 determine Cs
. Using above
values and θ = 30°
■ Cs
= 0.73
Pf
= 0.7 x Ce
x Ct
x Is
x Pg
Pg
≤ 20 lbs
Pg
is the ground snow load and cannot be used
instead of the inal snow load Pf
for the sloped roof
in our load combinations’ equations. We need to
calculate the sloped roof snow load as follows:
Pf
= 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20
Ps
= Cs
x Pf
Ps
= 0.73 * 20 = 14.6 psf
load combinations: (asd)
Basic combinations Section 2.3, according to ASCE
7-05 loads listed herein shall be considered to act in
the following combinations; whichever produces the
most unfavorable effect in the building, foundation
or structural member being considered. Effects of
one or more loads on acting shall be considered.
1) D + F
2) D + H + F + L + T
3) D + H + F + (Lr
or S or R)
4) D + H + F + 0.75 (L + T) + 0.75 (Lr
or S or R)
5) D + H + F + (W or 0.7 E)
6) D + H + F + 0.75 (W or 0.7 E) + .75L + .75 (Lr
or S or R)
7) 0.6D + W + H
8) 0.6D + 0.7E + H
Determining wind and snow loads for solar panels 9
asce 7-10 (iBc 2012) (cont'd)
The highest values for upward and downward
pressures will govern the design.
Load Case 3)
1.2 * 2.59 + 1.6 (14.6) + 0.5 (21.8) = 37.4 psf
Load Case 6)
0.9 * 2.59 + 1.0 (-27.8) = -25.7 psf
The next step is to check that the module can
withstand the design loads for this two-rail mounting
coniguration. The designer should refer to the
module installation instructions where the design
loads for different mounting conigurations are
provided.
When two rails are supporting the module with top-
down clamps, the module design capacity is:
■ Downward: +113 psf
■ Upward: -64 psf
These values are well above the governing design
loads of:
■ Downward: +37.4 psf
■ Upward: -25.7 psf
To distribute the combined loads on the module
that are transferring to the rails, please refer to the
Mounting User Instruction guide and ASCE 7-10
section 30.4.
asce 7-05 (iBc 2009) (cont'd)
The highest values for upward and downward
pressures will govern the design.
Load Case 6)
2.59 + 0.75 (14.6) + 0.75 (13.3) = 23.5 psf
Load Case 7)
0.6 (2.59) + 1.0 (-17.0) = -15.45 psf
The next step is to check that the module can
withstand the design loads for this two-rail mounting
coniguration. The designer should refer to the
module installation instructions where the design
loads for different mounting conigurations are
provided.
When two rails are supporting the module with top-
down clamps, the module design capacity is:
■ Downward: +55 psf
■ Upward: 33 psf
These values are well above the governing design
loads of:
■ Downward: +23.5 psf
■ Upward: -15.45 psf
To distribute the combined loads on the module
that are transferring to the rails, please refer to the
Mounting User Instruction guide and ASCE 7-05
section 6.5.12.2.
fmin, max fmin, max
Determining wind and snow loads for solar panels 10
example calculations
In the following example we outline how a designer
should calculate the effect of wind and snow on a
PV module for commercial buildings based on few
assumptions and using Main Wind-force Resisting
Systems design.
■ ASCE 7-05: Section 6.5.12.4.1
■ ASCE 7-10: Section 30.4
example 2- commercial structure in colorado:
■ Location: Colorado
■ Terrain: Urban, suburban, wooded, closely
spaced obstructions
■ Exposure: Class B
■ Building Type: Two-story Commercial (25 feet
tall)
■ Mean height of roof: ~25.33 feet
■ Building Shape: Gable roof with 5° pitch (1:12)
■ System: Two Rail System; attached module at
four points along the long side between 1/8
to 1/4 points as described in the SolarWorld
Sunmodule User Instruction guide
■ Module area: 18.05 ft. (Reference: Sunmodule
Datasheet)
■ Module weight: 46.7 lbs (Reference:
Sunmodule Datasheet)
■ Site ground snow load (Pg
): 20 psf
sYmBols and notations
wind
■ Cn
= New pressure coeficient to be used in
determination of wind loads
■ G = Gust effect factor
■ I = Importance factor
■ Kd
= Wind directionality factor
■ Kz = Velocity pressure exposure coeficient
evaluated at height z
■ Kzt
= Topographic factor
■ P = Design pressure to be used in determination of
wind loads for buildings
■ qh = Velocity pressure evaluated at height z = h
■ θ = Tilt angle of the module
snow
■ Ce
= Exposure factor
■ Cs
= Slope factor
■ Ct
= Thermal factor
■ I = Importance factor
■ Pf
= Snow load on lat roof
■ Pg
= Ground snow load
■ Ps
= Sloped roof snow load
load combination
■ D* = Dead load
■ E = Earthquake load
■ F = Load due to luids with well-deined pressures
and maximum heights
■ H = Load due to lateral earth pressure, ground
water pressure or pressure of bulk materials
■ L = Live load
■ Lr
= Roof live load
■ R = Rain load
■ S* = Snow load
■ T = Self-straining load
■ W* = Wind load
* In this white paper we only use dead, snow and wind loads.
Determining wind and snow loads for solar panels 11
asce 7-10 (iBc 2012)
steps in wind design:
1. Determine risk category from Table 1.5-1
■ Risk category type II
2. Determine the basic wind speed, V, for applicable
risk category (see Figure 26.5-1 A, B, C)
■ Wind speed in Colorado is V = 115 mph
(excluding special wind regions)
3. Determine wind load parameters:
■ Wind Directionality factor, Kd
, see Section 26.6
● Main wind-force resisting system
components and cladding, Kd
= 0.85
■ Exposure category B, C or D from Section 26.7
● Exposure B
■ Topographic factor, Kzt
, from Section 26.8 and
Figure 26.8-1
● Kzt
= 1.0
4. Determine velocity pressure exposure coeficient,
Kz
of Kh
, see Table 30.3-1
● For exposure B and height of 25 ft, Kz
= 0.7
5. Determine velocity pressure, qh
, Eq. 30.3-1
■ qh
= 0.00256 x Kz
x Kzt
x Kd
x V2
6. Determine net pressure coeficient, GCp
■ See Fig. 30.4-2A
■ Downward: GCp
= 0.3
■ Upward: GCp
= -1.0 (zone 1)
-1.8 (zone 2)
-2.8 (zone 3)
asce 7-05 (iBc 2009)
steps in wind design:
1. Determine risk category from Table 1.5-1
■ Risk category type II
2. Determine the basic wind speed, V, for applicable
risk category (see Figure 6.1 A, B, C)
■ Wind speed in Colorado is V = 90 mph
(excluding special wind regions)
3. Determine wind load parameters:
■ Wind Directionality factor, Kd
, see Section 6.5.4.4
● Main wind-force resisting system
components and cladding, Kd
= 0.85
■ Exposure category B, C or D from Section 6.5.6.3
● Exposure B
■ Topographic factor, Kzt
, from Section 6.5.7.2
● Kzt
= 1.0
4. Determine velocity pressure exposure coeficient,
Kz
of Kh
, see Table 6-3
● For exposure B and height of 25 ft, Kz
= 0.7
5. Determine velocity pressure, qh
, Eq. 6-15
■ qh
= 0.00256 x Kz
x Kzt
x Kd
x V2
x 1
6. Determine net pressure coeficient, GCp
■ See Fig. 6-11B
■ Downward: GCp
= 0.3
■ Upward: GCp
= -1.0 (zone 1)
-1.8 (zone 2)
-2.8 (zone 3)
Determining wind and snow loads for solar panels 12
asce 7-10 (iBc 2012) (cont'd)
7. Calculate wind pressure, p, Eq. 30.8-1
■ p = qh
GCp
qh
= 0.00256 x kz
x kzt
x kd
x V2
qh
= 0.00256 * 0.7 * 1 * 0.85 * 1152
= 20.14 psf
pdown
= 20.14 * 0.3 = 6.04 psf
pup
= 20.14 * (-2.8) = 56 psf
steps in snow design:
1. For sloped roof snow loads Ps
= Cs
x Pf
2. Pf
is calculated using Equation 7.3-1
■ Pf
= 0.7 x Ce
x Ct
x Is
x Pg
3. When ground snow load is less than or equal 20
psf then the minimum Pf
value is I * 20 psf (7.3.4)
4. Find exposure factor from Table 7-2, in category B
and fully exposed roof
■ Ce
= 0.9
5. Determine Thermal factor using Table 7-3, for
unheated and open air structures
■ Ct
= 1.2
6. Find the importance factory from Table 1.5-2
■ Is
= 1.00 (7-10)
7. Using Section 7.4 determine Cs
. Using above
values and θ = 5°
■ Cs
=1.0
Pf
= 0.7 x Ce
x Ct
x Is
x Pg
asce 7-05 (iBc 2009) (cont'd)
7. Calculate wind pressure, p, Eq. 6-26
■ p = qh
GCp
qh
= 0.00256 x kz
x kzt
x kd
x V2
qh
= 0.00256 * 0.7 * 1 * 0.85 *902
= 12.34 psf
pd
= 12.34 * 0.3 = 3.7 psf psf
pu
= 12.34 * (-2.8) = 34.6 psf
steps in snow design:
1. For sloped roof snow loads Ps
= Cs
x Pf
2. Pf
is calculated using Equation 7.3-1
■ Pf = 0.7 x Ce
x Ct
x Is
x Pg
3. When ground snow load is less than or equal 20
psf then the minimum Pf
value is I * 20 psf (7.3.4)
4. Find exposure factor from Table 7-2, in category B
and fully exposed roof
■ Ce
= 0.9
5. Determine Thermal factor using Table 7-3, for
unheated and open air structures
■ Ct
= 1.2
6. Find the importance factory from Table 7-4
■ Is
= 1.0 (7-05)
7. Using section 7.4 determine Cs
. Using above
values and θ = 5°
■ Cs
=1.0
Pf
= 0.7 × Ce
× Ct
× Is
× Pg
Determining wind and snow loads for solar panels | 13
asce 7-10 (iBc 2012) (cont'd)
Pg
≤ 20 lbs
Pg
is the ground snow load and cannot be used
instead of the inal snow load for the sloped roof
in our load combinations’ equations. We need to
calculate the sloped roof snow load as follows:
Pf
= 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20
Ps
= Cs
x Pf
To ind out the effect of snow load perpendicular to the
plane of module we multiply the Ps
value by COS (θ).
Ps
= 1 * 20 * COS (5°) = 19.9 psf
load combinations: (lrfd)
Basic combinations section 2.3.2, according to ASCE
7-10 structures, components and foundations shall
be designed so that their design strength equals or
exceeds the effects of the factored loads in following
combinations:
1) 1.4D
2) 1.2D + 1.6L + 0.5 (Lr
or S or R)
3) 1.2D + 1.6 (Lr
or S or R) + (L or 0.5W)
4) 1.2D + 1.0W + L + 0.5 (Lr
or S or R)
5) 1.2D + 1.0E + L + 0.2S
6) 0.9D + 1.0W
7) 0.9D + 1.0E
The highest values for upward and downward
pressures will govern the design.
asce 7-05 (iBc 2009) (cont'd)
Pg
≤ 20 lbs
Pg
is the ground snow load and cannot be used
instead of the inal snow load for the sloped roof
in our load combinations’ equations. We need to
calculate the sloped roof snow load as follows:
Pf
= 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20
Ps
= Cs
x Pf
To ind out the effect of snow load perpendicular to the
plane of module we multiply the Ps
value by COS (θ).
Ps
= 1 * 20 * COS (5°) = 19.9 psf
load combinations: (asd)
Basic combinations section 2.3.2, according to ASCE
7-05 loads listed herein shall be considered to act in
the following combinations; whichever produces the
most unfavorable effect in the building, foundation
or structural member being considered. Effects of
one or more loads on acting shall be considered.
1) D + F
2) D + H + F + L + T
3) D + H + F + (Lr
or S or R)
4) D + H + F + 0.75 (L + T) + 0.75 (Lr
or S or R)
5) D + H + F + (W or 0.7E)
6) D + H + F + 0.75 (W OR 0.7E) + .75L + .75 (Lr
or S or R)
7) 0.6D + W + H
8) 0.6D + 0.7E + H
The highest values for upward and downward
pressures will govern the design.
Determining wind and snow loads for solar panels | 14
asce 7-10 (iBc 2012) (cont'd)
Load Case 3)
1.2 * 2.59 + 1.6 (19.9) + 0.5 (6.04) = 38 psf
Load Case 6)
0.9 * 2.59 + 1.0 (-56) = -53.7 psf
The next step is to check that the module can
withstand the design loads for this two-rail mounting
coniguration. The designer should refer to the
module installation instructions where the design
loads for different mounting conigurations are
provided.
For the case of two rails simply supporting the module
with top-down clamps, the module design capacity is:
■ Downward: +113 psf
■ Upward: -64 psf
These values are above the governing design loads
of:
■ Downward: +38 psf
■ Upward: -53.7 psf
To distribute the combined loads which are
transferring to the rails please refer to the Mounting
User Instruction and ASCE 7-10 section 30.4.
asce 7-05 (iBc 2009) (cont'd)
Load Case 6)
2.59 + 0.75 (19.9) + 0.75 (3.7) = 20.3 psf
Load Case 7)
0.6 (2.59) + 1.0 (-34.6) = -33 psf
The next step is to check that the module can
withstand the design loads for this two-rail mounting
coniguration. The designer should refer to the
module installation instructions where the design
loads for different mounting conigurations are
provided.
For the case of two rails simply supporting the module
with top-down clamps, the module design capacity is:
■ Downward: +55 psf
■ Upward: -33 psf
These values are above the governing design loads
of:
■ Downward: +20.3 psf
■ Upward: -33 psf
To distribute the combined loads which are
transferring to the rails please refer to the Mounting
User Instruction and ASCE 7.05 section 6.5.12.2.
fmin, max
fmin, max
Determining wind and snow loads for solar panels SW-02-5156US-MEC 04-2013 | 15
As this white paper illustrates, SolarWorld Sunmodules easily meet many high wind and snow load requirements
within the United States and therefore are ideal for installation in most climates. The ability to meet these
requirements is essential when designing solar systems that are expected to perform in various weather
conditions for at least 25 years. As America’s solar leader for over 35 years, SolarWorld’s quality standards are
unmatched in the industry. Unlike most other solar manufacturers in the market today, our systems have proven
performance in real world conditions for over 25 years.
references
1. Minimum design loads for buildings and other structures. Reston, VA: American Society of Civil Engineers/
Structural Engineering Institute, 2006. Print.
2. Minimum design loads for buildings and other structures. Reston, Va.: American Society of Civil Engineers :,
2010. Print.
3. International building code 2009. Country Club Hills, Ill.: International Code Council, 2009. Print.
4. International building code 2006. New Jersey ed. Country Club Hills, IL: The Council, 2007. Print.
Letter of Approval
Dat
Proj
EPS
To:
From:
A
pres
(Version 7)
pres
acco
2005
Engin
design
each
This l
as dis
the
methodo
are pub
ensur
P
Since
Matth
Engin
Letter of Approval
Date:
Project:
EPS Job Num
To:
From:
At the reque
presented in
(Version 7)
prescribed wind
accordance
2005 Minim
Engineers (A
design me
each said building
This letter is in
as discussed in t
the site spec
methodology
are publishe
ensure it ma
Please feel fr
Sincerely,
Matthew B. Gilliss,
Engineered P
Letter of Approval
EPS Job Number:
t the request of Sola
presented in SolarWorld
(Version 7). The pap
prescribed wind and snow lo
accordance with eithe
Minimum Design
Engineers (ASCE 7
methodology
each said building cod
This letter is in approv
as discussed in the re
site specific loading
methodology for roof
are published. Becaus
ensure it matches with th
lease feel free to cont
Sincerely,
Matthew B. Gilliss, P
Engineered Power Solutions
Letter of Approval – SolarWorld
Decemb
Solar
Number: 12-SWD003
Amir Sh
SolarW
4650 Adohr L
Camarillo,
Matthew
Enginee
equest of SolarWorld,
SolarWorld’s
paper presen
ed wind and snow loa
either the
um Design Loads
rs (ASCE 7-05), or
thodology and exam
id building code.
er is in approval of th
ussed in the referenced
specific loading condi
for roof mounte
ished. Because of this, E
it matches with the mo
eel free to contact me
B. Gilliss, P.E., LEE
red Power Solutions
STRUCT
SolarWorld Design Loads Methodology Review
ecember 30
Solar Module
SWD003
Amir Sheikh
SolarWorld Ame
4650 Adohr Lane
Camarillo, CA 93012
Matthew Gilliss
Engineered Pow
st of SolarWorld, Enginee
s “White Pap
paper presents the re
and snow loads for sol
either the 2009 (and 2
ign Loads for Buil
or the 2012 IBC
and examples
pproval of the general
e referenced paper
oading conditions for
for roof mounted solar syst
ecause of this, EPS rec
s with the most current
to contact me with any
B. Gilliss, P.E., LEED AP
er Solutions
STRUCTURAL L
Design Loads Methodology Review
30, 2012
odule Design Lo
arWorld Americas
4650 Adohr Lane
CA 93012
tthew Gilliss
Engineered Power Solutions
Engineered Powe
White Paper” title
esents the recommend
for solar modul
009 (and 2006)
oads for Buildings and
2012 IBC – whi
examples presented in t
general design m
nced paper. It is the re
onditions for each proj
ounted solar systems
of this, EPS recommends
rrent code re
me with any questions.
.E., LEED AP
UCTURAL LETTER
Design Loads Methodology Review
Design Loads Methodo
(SolarWorld)
Power Solutions (EPS)
Engineered Power Solutions
titled: Determ
e recommended design
for solar modules mount
nd 2006) Internation
ldings and Other S
which refere
presented in this pap
design methodology
. It is the responsibility
each project.
d solar systems has continu
PS recommends period
code requirements
any questions. Thank y
ENGIN
MATT
URAL LETTER OF APP
Design Loads Methodology Review
Methodology R
(SolarWorld)
olutions (EPS)
ower Solutions (EPS
Determining Wi
ed design methodolog
odules mounted on a
ternational Buildi
and Other Structures
references AS
ed in this paper are
sign methodology for flush
s the responsibility of th
Please note
continually cha
periodically re
e requirements and
stions. Thank you.
ENGINEERED
MATTHEW B. G
879 SYCAMORE
PASO R
ETTER OF APPROVAL
Design Loads Methodology Review
ethodology Review
olutions (EPS) has revi
ining Wind and S
esign methodology for d
on and flush to
al Building Code
Structures by the A
eferences ASCE 7-
are consistent with t
for flush roof
onsibility of the project
lease note that the
ontinually changed ove
eriodically reviewing th
ements and industry
Thank you.
NGINEERED POWE
TTHEW B. GILLISS, PRO
879 SYCAMORE
PASO ROBLES
(805) 423
APPROVAL
Design Loads Methodology Review
logy Review
EPS) has reviewed the
ind and Snow Loads
ethodology for determ
flush to a roof
ing Code (IBC)
by the American
-10. EPS
ent with the d
roof mounte
of the project enginee
the industry
changed over recent y
lly reviewing the state
industry recommend
RED POWER SOL
ILLISS, PROFESSIONA
YCAMORE CANYO
SO ROBLES, CA 93446
(805) 423-1326
12/31/14
s reviewed the design
Loads for So
thodology for determining th
a roof surface
(IBC) - which refe
by the American Society
EPS has found
ent with the design int
mounted solar m
engineer of reco
industry recomm
d over recent years as
wing the stated method
recommendations.
POWER SOLUTIONS
OFESSIONAL ENGINEER
AMORE CANYON RD.
BLES, CA 93446
1326
12/31/14
d the design methodo
ads for Solar Panels
termining the code
roof surface in
which reference
rican Society of Civil
has found that the
nt with the design intentions
solar modules on
ngineer of record to addr
recommended de
cent years as new studi
stated methodology to
mendations.
SOLUTIONS
ENGINEER
CANYON RD.
Page 1
odology
Solar Panels
ining the code
h references the
iety of Civil
the
ions of
solar modules only
r of record to address
ended design
rs as new studies
thodology to

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determining_wind_and_snow_loads_for_solaR PANELS EXAPMPLE USA-1-1.pdf

  • 1. determining wind and snow loads for solar panels America’s Authority on Solar
  • 2. The purpose of this paper is to discuss the mechanical design of photovoltaic systems for wind and snow loads in the United States, and provide guidance using The American Society of Civil Engineers (ASCE) Minimum Design Loads for Buildings and Other Structures, ASCE 7-05 and ASCE 7-10 as appropriate. With the introduction of the ASCE 7-10, there are two potential design principles used for calculating wind and snow loads for PV systems in the U.S. until all state building codes have transitioned to ASCE 7-10. This paper will show how to calculate for wind and snow loads using both design principles. SolarWorld modules have been tested according to UL and IEC standards and the maximum design loads for various mounting methods are provided in the Sunmodule User Instruction guide. Once we have gone through the sample calculations and have the applicable wind and snow loads, we will compare them to SolarWorld’s higher mechanical load capacities to ensure that the Sunmodule solar modules are in compliance. As one of the largest and most established vertically integrated photovoltaic (PV) manufacturers on the planet, SolarWorld is intimately involved with every step of the solar PV value chain from raw silicon to installed systems to end of life recycling. This complete knowledge base combined with our extensive history provide the critical insight required to lead the solar industry on technical topics. introduction Determining wind and snow loads for solar panels 1 The design methodology in this document has been third party reviewed. Please see certiied letter at the end of this document for more details.
  • 3. Determining wind and snow loads for solar panels 2 U.S. model building codes have used ASCE 7-05 as the basis for several years, which largely follows the design principles of Allowable Stress Design. Recently ASCE 7-10 was published and has become the basis for the 2012 series of the International Codes (I-Codes). ASCE 7-10 represents a shift in design principles toward Load Resistance Factor Design. A few states have already adopted the 2012 International Building Code 2012 (IBC) that includes references to ASCE 7-10 and, for the irst time, speciically mentions PV systems. There are several key differences between these two versions of ASCE 7 standards. This paper provides sample calculations following both ASCE 7 standards that are relected in the 2012 IBC and earlier versions. Figure 1. A typical rooftop solar installation.
  • 4. Determining wind and snow loads for solar panels 3 iBc 2012 (asce 7-10) code references 1509.7.1 Wind resistance. Rooftop mounted pho- tovoltaic systems shall be designed for wind loads for component and cladding in accordance with Chapter 16 using an effective wind area based on the dimensions of a single unit frame. 1603.1.4 Wind Design data. The following information related to wind loads shall be shown, regardless of whether wind loads govern the design of the lateral force resisting system of the structure: 1) Ultimate design wind speed, V 2) Risk category 3) Wind Exposure 4) Internal pressure coeficient 5) Component and cladding 1608.1 Design snow loads shall be determined in accordance with Chapter 7 of ASCE 7, but the design roof load shall not be less than that determined by section 1607. 1609.1.1 Determination of wind loads. Wind loads on every building or structure shall be determined in accordance with Chapter 26 to 36 of ASCE 7 or provisions of the alternate all-heights method in section 1606.6. 1609.4.1 Wind Directions and Sectors. For each selected wind direction at which the wind loads are to be evaluated, the exposure of the building or structure shall be determined for the two upwind sectors extending 45 degrees either side of the selected wind direction. The exposures in these two sectors shall be determined in accordance with Section 1609.4.2 and 1609.4.3 and the exposure resulting in the highest wind loads shall be used to represent wind from that direction. iBc 2009 (asce 7-05) code references 1608.1 Design snow loads shall be determined in accordance with Chapter 7 of ASCE 7, but the design roof load shall not be less than that determined by Section 1607. 1603.1.4 Wind Design Data 1) Basic wind 2) Wind importance factor 3) Wind exposure 4) The applicable internal pressure coeficient 5) Components and cladding 1609.1.1 Wind loads on every building or structure shall be determined in accordance with Chapter 6 of ASCE 7. Table 1609.3.1, which converts from 3-second gusts to fastest-mile wind speeds. 1609.4.1 Wind Directions and Sectors 1) Select wind direction for wind loads to be evaluated. 2) Two upwind sectors extending 45 degrees from either side of the chosen wind direction are the markers. 3) Use Section 1609.4.2 and Section 1609.4.3 to determine the exposure in those sectors. 4) The exposure with the highest wind loads is chosen for that wind direction. 1609.4.2 Surface Roughness Categories 1) Surface roughness B: Urban, suburban, wooded, closely spaced obstructions. 2) Surface roughness C: Open terrain with few obstructions (generally less than 30 feet), lat open country, grasslands, water surfaces in hurricane- prone regions. 3) Surface roughness D: Flat areas and water surfaces outside of hurricane prone regions, smooth mud lats, salt lats, unbroken ice. Below are the portions of the code that will be referenced in the sample calculations:
  • 5. Determining wind and snow loads for solar panels 4 In this paper, examples explain step-by-step procedures for calculating wind and snow loads on PV systems with the following qualiications in accordance with ASCE. The recommended chapter references for ASCE 7-05 are: ■ Chapter 2 – Load Combinations ■ Chapter 6 – Wind Load Calculations ■ Chapter 7 – Snow Load Calculations In ASCE 7 -10, the chapters have been re-organized and provide more detailed guidance on certain topics. The recommended chapter references are: ■ Chapter 2 – Load Combinations ■ Chapter 7 – Snow Load Calculations ■ Chapters 26 – 31 Wind Load Calculations example calculations: In the following examples, we outline how a designer should calculate the effect of wind and snow loads on a PV module for residential and commercial buildings based on few assumptions and using the Low-Rise Building Simpliied Procedure. ■ ASCE 7-05: Section 6.4 ■ ASCE 7-10: Section 30.5 In the Simpliied Method the system must have the following qualiications (see ASCE 7.05 section 6.4.1.2 or ASCE 7-10 section 30.5.1 for further explanation): ■ The modules shall be parallel to surface of the roof with no more than 10 inches of space between the roof surface and bottom of the PV module. ■ The building height must be less than 60 feet. ■ The building must be enclosed, not open or partially enclosed structure like carport. ■ The building is regular shaped with no unusual geometrical irregularity in spatial form, for example a geodesic dome. ■ The building is not in an extreme geographic location such as a narrow canyon a steep cliff. ■ The building has a lat or gable roof with a pitch less than 45 degrees or a hip roof with a pitch less than 27 degrees. In case of designing more complicated projects the following sections are recommended: ■ ASCE 7-05: Section 6.5.13.2 ■ ASCE 7-10: Section 30.8 example 1 - residential structure in colorado: system details: ■ Location: Colorado ■ Terrain: Urban, suburban, wooded, closely spaced obstructions ■ Exposure: Class B ■ Building Type: Single-story residential (10- to 15-feet tall) ■ Mean height of roof: ~12.33 feet ■ Building Shape: Gable roof with 30° pitch (7:12) ■ System: Two Rail System; attached module at four points along the long side between 1/8 to 1/4 points as described in the SolarWorld Sunmodule User Instruction guide ■ Module area: 18.05 ft (Reference: Sunmodule datasheet) ■ Module weight: 46.7 lbs (Reference: Sunmodule datasheet) ■ Site ground snow load (Pg ): 20 psf
  • 6. Determining wind and snow loads for solar panels 5 sYmBols and notations wind ■ I = Importance factor ■ Kzt = Topographic factor ■ P = Design pressure to be used in determination of wind loads for buildings ■ Pnet30 = Net design wind pressure for exposure B at h = 30 feet and I = 1.0 ■ V = Basic wind speed ■ λ = Adjustment factor for building height and exposure ■ Zone 1 = Interiors of the roof (Middle) ■ Zone 2 = Ends of the roof (Edge) ■ Zone 3 = Corners of the roof snow ■ Ce = Exposure factor ■ Cs = Slope factor ■ Ct = Thermal factor ■ I = Importance factor ■ Pf = Snow load on lat roof ■ Pg = Ground snow load ■ Ps = Sloped roof snow load load combination ■ D* = Dead load ■ E = Earthquake load ■ F = Load due to luids with well-deined pressures and maximum heights ■ H = Load due to lateral earth pressure, ground water pressure or pressure of bulk materials ■ L = Live load ■ Lr = Roof live load ■ R = Rain load ■ S* = Snow load ■ T = Self-straining load ■ W* = Wind load * In this white paper we only use dead, snow and wind loads. Gable Roof Hip Roof Interior Zones Roofs - Zone 1 Interior Zones Roofs - Zone 2 Interior Zones Roofs - Zone 3
  • 7. Determining wind and snow loads for solar panels 6 asce 7-10 (iBc 2012) steps in wind design: 1. Determine risk category from Table 1.5-1 ■ Risk category type II 2. Determine the basic wind speed, V, for applicable risk category (see Figure 26.5-1 A, B, C) ■ Wind speed in Colorado is V = 115 mph (excluding special wind regions) 3. Determine wind load parameters: ■ Exposure category B, C or D from Section 26.7 ● Exposure B ■ Topographic factor, Kzt , from Section 26.8 and Figure 26.8-1 ● Kzt = 1.0 4. Determine wind pressure at h = 30 ft, Pnet30 , from igure 30.5-1 5. Determine adjustment for building height and exposure, λ, from Figure 30.5-1 ■ Adjustment factor for Exposure B is λ = 1.00 6. Determine adjusted wind pressure, Pnet , from Equation 30.5-1 ■ Pnet = λKzt Pnet30 Wind effective area is the pressure area on the module that is distributed between four mounting clamps. Each mid-clamp takes one-quarter of the pressure and holds two modules which are equal to one-half area of one module. ■ Area of module is 18.05 square feet. ■ Effective area is ~10 square feet. Pnet for wind speed of 115 mph and the wind effective area of 10 ft2 : asce 7-05 (iBc 2009) steps in wind design: 1. Determine risk category from Table 1.5-1 ■ Risk category type II 2. Determine the basic wind speed, V, for applicable risk category (see Figure 6-1 A, B, C) ■ Wind speed in Colorado is V = 90 mph (excluding special wind regions) 3. Determine wind load parameters: ■ Exposure category B, C or D from Section 6.5.6.3 ● Exposure B ■ Topographic factor, Kzt , from Section 6.5.7.2 ● Kzt = 1.0 4. Determine wind pressure at h = 30 ft, Pnet30 , from Figure 6.3 5. Determine adjustment for building height and exposure, λ, from Figure 6.3 ■ Adjustment factor for Exposure B is λ = 1.00 6. Determine adjusted wind pressure, Pnet , from Equation 6-1 ■ Pnet = λKzt Pnet30 Wind effective area is the pressure area on the module that is distributed between four mounting clamps. Each mid-clamp takes one-quarter of the pressure and holds two modules which are equal to one-half area of one module. ■ Area of module is 18.05 square feet. ■ Effective area is ~10 square feet. Pnet for wind speed of 90 mph and the wind effective area of 10 ft2 :
  • 8. Determining wind and snow loads for solar panels 7 asce 7-10 (iBc 2012) (cont'd) Zone 1 ■ Downward: +21.8 psf ■ Upward: -23.8 psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 21.8 = 21.8 psf Pup = 1 * 1 * -23.8 = -23.8 psf Zone 2 ■ Downward: +21.8 psf ■ Upward: -27.8 psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 21.8 = 21.8 psf Pup = 1 * 1 * -27.8 = -27.8 psf Zone 3 ■ Downward: +21.8 psf ■ Upward: -27.8 psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 21.8 = 21.8 psf Pup = 1 * 1 * -27.8 = -27.8 psf steps in snow design: 1. For sloped roof snow loads Ps = Cs x Pf 2. Pf is calculated using Equation 7.3-1 ■ Pf = 0.7 x Ce x Ct x Is x Pg 3. When ground snow load is less than or equal to 20 psf then the minimum Pf value is I * 20 psf. (7.3.4) 4. Find exposure factor from Table 7-2, in category B and fully exposed roof ■ Ce = 0.9 asce 7-05 (iBc 2009) (cont'd) Zone 1 ■ Downward: +13.3 psf ■ Upward: -14.6 psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 13.3 = 13.3 psf Pup = 1 * 1 * -14.6 = -14.6 psf Zone 2 ■ Downward: +13.3 psf ■ Upward: -17psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 13.3 = 13.3 psf Pup = 1 * 1 * -17 = -17 psf Zone 3 ■ Downward: +13.3 psf ■ Upward: -17psf Pnet = λKzt Pnet30 PDown = 1 * 1 * 13.3 = 13.3 psf Pup = 1 * 1 * -17 = -17 psf steps in snow design: 1. For sloped roof snow loads Ps = Cs x Pf 2. Pf is calculated using Equation 7.3-1 ■ Pf = 0.7 x Ce x Ct x Is x Pg 3. When ground snow load is less than or equal to 20 psf then the minimum Pf value is I * 20 psf. (7.3.4) 4. Find exposure factor from Table 7-2, in category B and fully exposed roof ■ Ce = 0.9
  • 9. Determining wind and snow loads for solar panels 8 asce 7-10 (iBc 2012) (cont'd) 5. Determine thermal factor using Table 7-3, for unheated and open air structures ■ Ct = 1.2 6. Find the importance factory from Table 1.5-2 ■ Is = 1.00 (7-10) 7. Using Section 7.4 determine Cs . Using above values and θ = 30° ■ Cs = 0.73 Pf = 0.7 x Ce x Ct x Is x Pg Pg ≤ 20 lbs Pg is the ground snow load and cannot be used instead of the inal snow load Pf for the sloped roof in our load combinations' equations. We need to calculate the sloped roof snow load as follows: Pf = 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20 Ps = Cs x Pf Ps = 0.73 * 20 = 14.6 psf load combinations: (lrfd) Basic combinations Section 2.3.2, according to ASCE 7-10 structures, components and foundations shall be designed so that their design strength equals or exceeds the effects of the factored loads in the following combinations: 1) 1.4D 2) 1.2D + 1.6L + 0.5 (Lr or S or R) 3) 1.2D + 1.6 (Lr or S or R) + (L or 0.5W) 4) 1.2D + 1.0W + L + 0.5 (Lr or S or R) 5) 1.2D + 1.0E + L + 0.2S 6) 0.9D + 1.0W 7) 0.9D + 1.0E asce 7-05 (iBc 2009) (cont'd) 5. Determine thermal factor using Table 7-3, for unheated and open air structures ■ Ct = 1.2 6. Find the importance factory from Table 7-4 ■ Is = 1.0 (7-05) 7. Using Section 7.4 determine Cs . Using above values and θ = 30° ■ Cs = 0.73 Pf = 0.7 x Ce x Ct x Is x Pg Pg ≤ 20 lbs Pg is the ground snow load and cannot be used instead of the inal snow load Pf for the sloped roof in our load combinations’ equations. We need to calculate the sloped roof snow load as follows: Pf = 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20 Ps = Cs x Pf Ps = 0.73 * 20 = 14.6 psf load combinations: (asd) Basic combinations Section 2.3, according to ASCE 7-05 loads listed herein shall be considered to act in the following combinations; whichever produces the most unfavorable effect in the building, foundation or structural member being considered. Effects of one or more loads on acting shall be considered. 1) D + F 2) D + H + F + L + T 3) D + H + F + (Lr or S or R) 4) D + H + F + 0.75 (L + T) + 0.75 (Lr or S or R) 5) D + H + F + (W or 0.7 E) 6) D + H + F + 0.75 (W or 0.7 E) + .75L + .75 (Lr or S or R) 7) 0.6D + W + H 8) 0.6D + 0.7E + H
  • 10. Determining wind and snow loads for solar panels 9 asce 7-10 (iBc 2012) (cont'd) The highest values for upward and downward pressures will govern the design. Load Case 3) 1.2 * 2.59 + 1.6 (14.6) + 0.5 (21.8) = 37.4 psf Load Case 6) 0.9 * 2.59 + 1.0 (-27.8) = -25.7 psf The next step is to check that the module can withstand the design loads for this two-rail mounting coniguration. The designer should refer to the module installation instructions where the design loads for different mounting conigurations are provided. When two rails are supporting the module with top- down clamps, the module design capacity is: ■ Downward: +113 psf ■ Upward: -64 psf These values are well above the governing design loads of: ■ Downward: +37.4 psf ■ Upward: -25.7 psf To distribute the combined loads on the module that are transferring to the rails, please refer to the Mounting User Instruction guide and ASCE 7-10 section 30.4. asce 7-05 (iBc 2009) (cont'd) The highest values for upward and downward pressures will govern the design. Load Case 6) 2.59 + 0.75 (14.6) + 0.75 (13.3) = 23.5 psf Load Case 7) 0.6 (2.59) + 1.0 (-17.0) = -15.45 psf The next step is to check that the module can withstand the design loads for this two-rail mounting coniguration. The designer should refer to the module installation instructions where the design loads for different mounting conigurations are provided. When two rails are supporting the module with top- down clamps, the module design capacity is: ■ Downward: +55 psf ■ Upward: 33 psf These values are well above the governing design loads of: ■ Downward: +23.5 psf ■ Upward: -15.45 psf To distribute the combined loads on the module that are transferring to the rails, please refer to the Mounting User Instruction guide and ASCE 7-05 section 6.5.12.2. fmin, max fmin, max
  • 11. Determining wind and snow loads for solar panels 10 example calculations In the following example we outline how a designer should calculate the effect of wind and snow on a PV module for commercial buildings based on few assumptions and using Main Wind-force Resisting Systems design. ■ ASCE 7-05: Section 6.5.12.4.1 ■ ASCE 7-10: Section 30.4 example 2- commercial structure in colorado: ■ Location: Colorado ■ Terrain: Urban, suburban, wooded, closely spaced obstructions ■ Exposure: Class B ■ Building Type: Two-story Commercial (25 feet tall) ■ Mean height of roof: ~25.33 feet ■ Building Shape: Gable roof with 5° pitch (1:12) ■ System: Two Rail System; attached module at four points along the long side between 1/8 to 1/4 points as described in the SolarWorld Sunmodule User Instruction guide ■ Module area: 18.05 ft. (Reference: Sunmodule Datasheet) ■ Module weight: 46.7 lbs (Reference: Sunmodule Datasheet) ■ Site ground snow load (Pg ): 20 psf sYmBols and notations wind ■ Cn = New pressure coeficient to be used in determination of wind loads ■ G = Gust effect factor ■ I = Importance factor ■ Kd = Wind directionality factor ■ Kz = Velocity pressure exposure coeficient evaluated at height z ■ Kzt = Topographic factor ■ P = Design pressure to be used in determination of wind loads for buildings ■ qh = Velocity pressure evaluated at height z = h ■ θ = Tilt angle of the module snow ■ Ce = Exposure factor ■ Cs = Slope factor ■ Ct = Thermal factor ■ I = Importance factor ■ Pf = Snow load on lat roof ■ Pg = Ground snow load ■ Ps = Sloped roof snow load load combination ■ D* = Dead load ■ E = Earthquake load ■ F = Load due to luids with well-deined pressures and maximum heights ■ H = Load due to lateral earth pressure, ground water pressure or pressure of bulk materials ■ L = Live load ■ Lr = Roof live load ■ R = Rain load ■ S* = Snow load ■ T = Self-straining load ■ W* = Wind load * In this white paper we only use dead, snow and wind loads.
  • 12. Determining wind and snow loads for solar panels 11 asce 7-10 (iBc 2012) steps in wind design: 1. Determine risk category from Table 1.5-1 ■ Risk category type II 2. Determine the basic wind speed, V, for applicable risk category (see Figure 26.5-1 A, B, C) ■ Wind speed in Colorado is V = 115 mph (excluding special wind regions) 3. Determine wind load parameters: ■ Wind Directionality factor, Kd , see Section 26.6 ● Main wind-force resisting system components and cladding, Kd = 0.85 ■ Exposure category B, C or D from Section 26.7 ● Exposure B ■ Topographic factor, Kzt , from Section 26.8 and Figure 26.8-1 ● Kzt = 1.0 4. Determine velocity pressure exposure coeficient, Kz of Kh , see Table 30.3-1 ● For exposure B and height of 25 ft, Kz = 0.7 5. Determine velocity pressure, qh , Eq. 30.3-1 ■ qh = 0.00256 x Kz x Kzt x Kd x V2 6. Determine net pressure coeficient, GCp ■ See Fig. 30.4-2A ■ Downward: GCp = 0.3 ■ Upward: GCp = -1.0 (zone 1) -1.8 (zone 2) -2.8 (zone 3) asce 7-05 (iBc 2009) steps in wind design: 1. Determine risk category from Table 1.5-1 ■ Risk category type II 2. Determine the basic wind speed, V, for applicable risk category (see Figure 6.1 A, B, C) ■ Wind speed in Colorado is V = 90 mph (excluding special wind regions) 3. Determine wind load parameters: ■ Wind Directionality factor, Kd , see Section 6.5.4.4 ● Main wind-force resisting system components and cladding, Kd = 0.85 ■ Exposure category B, C or D from Section 6.5.6.3 ● Exposure B ■ Topographic factor, Kzt , from Section 6.5.7.2 ● Kzt = 1.0 4. Determine velocity pressure exposure coeficient, Kz of Kh , see Table 6-3 ● For exposure B and height of 25 ft, Kz = 0.7 5. Determine velocity pressure, qh , Eq. 6-15 ■ qh = 0.00256 x Kz x Kzt x Kd x V2 x 1 6. Determine net pressure coeficient, GCp ■ See Fig. 6-11B ■ Downward: GCp = 0.3 ■ Upward: GCp = -1.0 (zone 1) -1.8 (zone 2) -2.8 (zone 3)
  • 13. Determining wind and snow loads for solar panels 12 asce 7-10 (iBc 2012) (cont'd) 7. Calculate wind pressure, p, Eq. 30.8-1 ■ p = qh GCp qh = 0.00256 x kz x kzt x kd x V2 qh = 0.00256 * 0.7 * 1 * 0.85 * 1152 = 20.14 psf pdown = 20.14 * 0.3 = 6.04 psf pup = 20.14 * (-2.8) = 56 psf steps in snow design: 1. For sloped roof snow loads Ps = Cs x Pf 2. Pf is calculated using Equation 7.3-1 ■ Pf = 0.7 x Ce x Ct x Is x Pg 3. When ground snow load is less than or equal 20 psf then the minimum Pf value is I * 20 psf (7.3.4) 4. Find exposure factor from Table 7-2, in category B and fully exposed roof ■ Ce = 0.9 5. Determine Thermal factor using Table 7-3, for unheated and open air structures ■ Ct = 1.2 6. Find the importance factory from Table 1.5-2 ■ Is = 1.00 (7-10) 7. Using Section 7.4 determine Cs . Using above values and θ = 5° ■ Cs =1.0 Pf = 0.7 x Ce x Ct x Is x Pg asce 7-05 (iBc 2009) (cont'd) 7. Calculate wind pressure, p, Eq. 6-26 ■ p = qh GCp qh = 0.00256 x kz x kzt x kd x V2 qh = 0.00256 * 0.7 * 1 * 0.85 *902 = 12.34 psf pd = 12.34 * 0.3 = 3.7 psf psf pu = 12.34 * (-2.8) = 34.6 psf steps in snow design: 1. For sloped roof snow loads Ps = Cs x Pf 2. Pf is calculated using Equation 7.3-1 ■ Pf = 0.7 x Ce x Ct x Is x Pg 3. When ground snow load is less than or equal 20 psf then the minimum Pf value is I * 20 psf (7.3.4) 4. Find exposure factor from Table 7-2, in category B and fully exposed roof ■ Ce = 0.9 5. Determine Thermal factor using Table 7-3, for unheated and open air structures ■ Ct = 1.2 6. Find the importance factory from Table 7-4 ■ Is = 1.0 (7-05) 7. Using section 7.4 determine Cs . Using above values and θ = 5° ■ Cs =1.0 Pf = 0.7 × Ce × Ct × Is × Pg
  • 14. Determining wind and snow loads for solar panels | 13 asce 7-10 (iBc 2012) (cont'd) Pg ≤ 20 lbs Pg is the ground snow load and cannot be used instead of the inal snow load for the sloped roof in our load combinations’ equations. We need to calculate the sloped roof snow load as follows: Pf = 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20 Ps = Cs x Pf To ind out the effect of snow load perpendicular to the plane of module we multiply the Ps value by COS (θ). Ps = 1 * 20 * COS (5°) = 19.9 psf load combinations: (lrfd) Basic combinations section 2.3.2, according to ASCE 7-10 structures, components and foundations shall be designed so that their design strength equals or exceeds the effects of the factored loads in following combinations: 1) 1.4D 2) 1.2D + 1.6L + 0.5 (Lr or S or R) 3) 1.2D + 1.6 (Lr or S or R) + (L or 0.5W) 4) 1.2D + 1.0W + L + 0.5 (Lr or S or R) 5) 1.2D + 1.0E + L + 0.2S 6) 0.9D + 1.0W 7) 0.9D + 1.0E The highest values for upward and downward pressures will govern the design. asce 7-05 (iBc 2009) (cont'd) Pg ≤ 20 lbs Pg is the ground snow load and cannot be used instead of the inal snow load for the sloped roof in our load combinations’ equations. We need to calculate the sloped roof snow load as follows: Pf = 0.7 * 0.9 * 1.2 * 1 * 20 = 15.12 psf or 1 * 20 Ps = Cs x Pf To ind out the effect of snow load perpendicular to the plane of module we multiply the Ps value by COS (θ). Ps = 1 * 20 * COS (5°) = 19.9 psf load combinations: (asd) Basic combinations section 2.3.2, according to ASCE 7-05 loads listed herein shall be considered to act in the following combinations; whichever produces the most unfavorable effect in the building, foundation or structural member being considered. Effects of one or more loads on acting shall be considered. 1) D + F 2) D + H + F + L + T 3) D + H + F + (Lr or S or R) 4) D + H + F + 0.75 (L + T) + 0.75 (Lr or S or R) 5) D + H + F + (W or 0.7E) 6) D + H + F + 0.75 (W OR 0.7E) + .75L + .75 (Lr or S or R) 7) 0.6D + W + H 8) 0.6D + 0.7E + H The highest values for upward and downward pressures will govern the design.
  • 15. Determining wind and snow loads for solar panels | 14 asce 7-10 (iBc 2012) (cont'd) Load Case 3) 1.2 * 2.59 + 1.6 (19.9) + 0.5 (6.04) = 38 psf Load Case 6) 0.9 * 2.59 + 1.0 (-56) = -53.7 psf The next step is to check that the module can withstand the design loads for this two-rail mounting coniguration. The designer should refer to the module installation instructions where the design loads for different mounting conigurations are provided. For the case of two rails simply supporting the module with top-down clamps, the module design capacity is: ■ Downward: +113 psf ■ Upward: -64 psf These values are above the governing design loads of: ■ Downward: +38 psf ■ Upward: -53.7 psf To distribute the combined loads which are transferring to the rails please refer to the Mounting User Instruction and ASCE 7-10 section 30.4. asce 7-05 (iBc 2009) (cont'd) Load Case 6) 2.59 + 0.75 (19.9) + 0.75 (3.7) = 20.3 psf Load Case 7) 0.6 (2.59) + 1.0 (-34.6) = -33 psf The next step is to check that the module can withstand the design loads for this two-rail mounting coniguration. The designer should refer to the module installation instructions where the design loads for different mounting conigurations are provided. For the case of two rails simply supporting the module with top-down clamps, the module design capacity is: ■ Downward: +55 psf ■ Upward: -33 psf These values are above the governing design loads of: ■ Downward: +20.3 psf ■ Upward: -33 psf To distribute the combined loads which are transferring to the rails please refer to the Mounting User Instruction and ASCE 7.05 section 6.5.12.2. fmin, max fmin, max
  • 16. Determining wind and snow loads for solar panels SW-02-5156US-MEC 04-2013 | 15 As this white paper illustrates, SolarWorld Sunmodules easily meet many high wind and snow load requirements within the United States and therefore are ideal for installation in most climates. The ability to meet these requirements is essential when designing solar systems that are expected to perform in various weather conditions for at least 25 years. As America’s solar leader for over 35 years, SolarWorld’s quality standards are unmatched in the industry. Unlike most other solar manufacturers in the market today, our systems have proven performance in real world conditions for over 25 years. references 1. Minimum design loads for buildings and other structures. Reston, VA: American Society of Civil Engineers/ Structural Engineering Institute, 2006. Print. 2. Minimum design loads for buildings and other structures. Reston, Va.: American Society of Civil Engineers :, 2010. Print. 3. International building code 2009. Country Club Hills, Ill.: International Code Council, 2009. Print. 4. International building code 2006. New Jersey ed. Country Club Hills, IL: The Council, 2007. Print.
  • 17. Letter of Approval Dat Proj EPS To: From: A pres (Version 7) pres acco 2005 Engin design each This l as dis the methodo are pub ensur P Since Matth Engin Letter of Approval Date: Project: EPS Job Num To: From: At the reque presented in (Version 7) prescribed wind accordance 2005 Minim Engineers (A design me each said building This letter is in as discussed in t the site spec methodology are publishe ensure it ma Please feel fr Sincerely, Matthew B. Gilliss, Engineered P Letter of Approval EPS Job Number: t the request of Sola presented in SolarWorld (Version 7). The pap prescribed wind and snow lo accordance with eithe Minimum Design Engineers (ASCE 7 methodology each said building cod This letter is in approv as discussed in the re site specific loading methodology for roof are published. Becaus ensure it matches with th lease feel free to cont Sincerely, Matthew B. Gilliss, P Engineered Power Solutions Letter of Approval – SolarWorld Decemb Solar Number: 12-SWD003 Amir Sh SolarW 4650 Adohr L Camarillo, Matthew Enginee equest of SolarWorld, SolarWorld’s paper presen ed wind and snow loa either the um Design Loads rs (ASCE 7-05), or thodology and exam id building code. er is in approval of th ussed in the referenced specific loading condi for roof mounte ished. Because of this, E it matches with the mo eel free to contact me B. Gilliss, P.E., LEE red Power Solutions STRUCT SolarWorld Design Loads Methodology Review ecember 30 Solar Module SWD003 Amir Sheikh SolarWorld Ame 4650 Adohr Lane Camarillo, CA 93012 Matthew Gilliss Engineered Pow st of SolarWorld, Enginee s “White Pap paper presents the re and snow loads for sol either the 2009 (and 2 ign Loads for Buil or the 2012 IBC and examples pproval of the general e referenced paper oading conditions for for roof mounted solar syst ecause of this, EPS rec s with the most current to contact me with any B. Gilliss, P.E., LEED AP er Solutions STRUCTURAL L Design Loads Methodology Review 30, 2012 odule Design Lo arWorld Americas 4650 Adohr Lane CA 93012 tthew Gilliss Engineered Power Solutions Engineered Powe White Paper” title esents the recommend for solar modul 009 (and 2006) oads for Buildings and 2012 IBC – whi examples presented in t general design m nced paper. It is the re onditions for each proj ounted solar systems of this, EPS recommends rrent code re me with any questions. .E., LEED AP UCTURAL LETTER Design Loads Methodology Review Design Loads Methodo (SolarWorld) Power Solutions (EPS) Engineered Power Solutions titled: Determ e recommended design for solar modules mount nd 2006) Internation ldings and Other S which refere presented in this pap design methodology . It is the responsibility each project. d solar systems has continu PS recommends period code requirements any questions. Thank y ENGIN MATT URAL LETTER OF APP Design Loads Methodology Review Methodology R (SolarWorld) olutions (EPS) ower Solutions (EPS Determining Wi ed design methodolog odules mounted on a ternational Buildi and Other Structures references AS ed in this paper are sign methodology for flush s the responsibility of th Please note continually cha periodically re e requirements and stions. Thank you. ENGINEERED MATTHEW B. G 879 SYCAMORE PASO R ETTER OF APPROVAL Design Loads Methodology Review ethodology Review olutions (EPS) has revi ining Wind and S esign methodology for d on and flush to al Building Code Structures by the A eferences ASCE 7- are consistent with t for flush roof onsibility of the project lease note that the ontinually changed ove eriodically reviewing th ements and industry Thank you. NGINEERED POWE TTHEW B. GILLISS, PRO 879 SYCAMORE PASO ROBLES (805) 423 APPROVAL Design Loads Methodology Review logy Review EPS) has reviewed the ind and Snow Loads ethodology for determ flush to a roof ing Code (IBC) by the American -10. EPS ent with the d roof mounte of the project enginee the industry changed over recent y lly reviewing the state industry recommend RED POWER SOL ILLISS, PROFESSIONA YCAMORE CANYO SO ROBLES, CA 93446 (805) 423-1326 12/31/14 s reviewed the design Loads for So thodology for determining th a roof surface (IBC) - which refe by the American Society EPS has found ent with the design int mounted solar m engineer of reco industry recomm d over recent years as wing the stated method recommendations. POWER SOLUTIONS OFESSIONAL ENGINEER AMORE CANYON RD. BLES, CA 93446 1326 12/31/14 d the design methodo ads for Solar Panels termining the code roof surface in which reference rican Society of Civil has found that the nt with the design intentions solar modules on ngineer of record to addr recommended de cent years as new studi stated methodology to mendations. SOLUTIONS ENGINEER CANYON RD. Page 1 odology Solar Panels ining the code h references the iety of Civil the ions of solar modules only r of record to address ended design rs as new studies thodology to