47 Water St Riddle Rev A 2019152 S. Broad St.
Lansdale, PA 19446(215)361-8040
April 23, 2019
Valley Solar340 Riverside DrNorthampton, MA 01062
RE:Riddle Residence47 Water St, Leeds, MA 01053Client Project #: 47RIDD
On behalf of Valley Solar, Penn Fusion Engineering LLC (PFE) performed a structural analysis of the roof at the abovereferenced location. The purpose of our analysis was to determine if the existing roof system is structurally sufficient tosupport the new photovoltaic moudles in addition to the code required design loads. Our analysis is based on the informationprovided by Valley Solar and is isolated only to the areas where the modules are intended to be placed.
System Specifications:Total System Size: 9.72 kW/DCPanel Specs: (29) LG Solar - LG335N1C-A5Inverter Specs: (29) Enphase - IQ7+Racking System: SnapNRack - Series 100 UL
The modules are to be located on the following roof planes:
MountingPlane RafterSize RafterSpacing HorizontalSpan CollarTies Collar TieSpacing Sheathing ShingleType Number ofShingle Layers CeilingProfile
1 2x4 24"10ft. 0in.N/A 0"CDX 1/2"1 Flat
2 2x8 16"10ft. 0in.N/A 0"CDX 1/2"AsphaltShingles 1 Flat
The roof design has been analyzed in accordance with the 2015 International Residential Code and MassachusettesAmendments 9th Edition with design loads as follows:
Ground Snow (Pg): 50 psfWind Speed (V): 116 mph
Mounting Plane 1The calculations for these structural members are attached. It has been determined by this office that the rafters, as specifiedabove, exceed the allowable span for the total design loading. Attached are repair details that, when installed, will render theroof design structurally adequate to support the new PV modules in addition to the code required design loading.
Attach the module rail brackets to the roof with 5/16" lag bolts at 48 on center maximum. Provide a minimum of 2" ofpenetration into the wood members.
Mounting Plane 2The calculations for these structural members are attached. It has been determined by this office that the roof, as specifiedabove, is adequate to support the new PV modules in addition to the code required design loading.
Attach the module rail brackets to the roof with 5/16" lag bolts at 48 on center maximum. Provide a minimum of 2" ofpenetration into the wood members.
This office has determined that the installation of the PV System as specified above will meet the structural requirements of
accordance with the manufacture's instructions.
If you have any questions regarding this analysis, please feel free to contact us.
Best Regards,Penn Fusion Engineering LLC
Andrew D. Leone, P.E.Principal
PFE Project #: 192541
Revision A: 5/3/2019 - Modified Sister Rafter Specification
the 2015 International Residential Code with Massachusettes Amendments 9th Edition and ASCE7-10 when installed in
CorrugatedMetal
152 S. Broad St.
Lansdale, PA 19446(267)640-2758
Client Name:Valley Solar
PFE Project Number:192541
Client Project Number:47RIDDProject:Riddle Residence
Address:47 Water StLeeds, MA 01053Description:Mounting Plane 1
Calculations By:ADLDate:April 23, 2019
Roof Construction
2x4 Rafters at 24" on center
A=5.25 in2
Ix=5.36 in4
Sx=3.06 in3
Wood Species=Doug-Fir Larch #2
Fb=900 psi
Fv=180 psi
E=1600000 psi
Roof Slope=34 °
Rafter Span=10.02 ft
Ceiling Attached to Rafters?:No
Design Criteria
Ground Snow (Pg):50 psf
Design Wind Speed:116 mphLive Load:20 psfDead Load:4.17 psfPV Modules:3.62 psf
Wind Calculations
Directionality Factor (Kd):0.85
Topographic Factor (Kzt):1
Velocity Pressure Exposure Coefficient(Kz):0.7
Importance Factor (I):1
Velocity Pressure (qz):20.5 psf
Tributary Square Footage onComponent:10.83 ft2
Component Roof Pressures:22.06 / -28.14 psf
Snow Load Calculations
Exposure Factor (Ce):1
Thermal Factor (Ct):1
Importance Factor (I):1Flat Roof Snow Loads (Pf):35 psf
Roof Slope Factor (Cs):0.9
Sloped Snow Loads (Ps):31.5 psf
Unbalanced Snow Load:50 psf
Member Calculations
Bending
Md:1450.14 ft*lb
fb:5682.18 psi
Load Duration Factor (Cd):1.15
Stability Factor (CL):1
Wet Service Factor (CM):1
Temperature Factor (CT):1
Size Factor (CF):1.5
Flat Use Factor (Cfu):1
Incising Factor (Ci):1
Repetitive Member Factor (Cr):1.15
Fb:900 psi
F'b:1785.38 psi 5682.18>1785.38 No Good in Bending
Shear
Vd:578.96 lb
fv:165.42 psi
Load Duration Factor (Cd):1.15
Wet Service Factor (CM):1
Temperature Factor (CT):1
Size Factor (CF):1.5
Flat Use Factor (Cfu):1
Incising Factor (Ci):1
Fv:180 psi
F'v):207 psi 165.42<=207 OK in Shear
Deflection
Live Load Deflection (ΔL):2.64 in L/45 No Good in Live LoadDeflection
Total Load Deflection (ΔT):3.06 in L/39 No Good in TotalLoad Deflection
Uplift Calculation
Tributary Square Footage onComponent:10.83 ft2
Uplift Pressure:-28.14 psfUplift per Lag:-304.87 lbs
Lag Screw Diameter:5/16 inAllowable Withdrawal per Inch:490.99 lbs/inMinimal Screw Penetration:0.62 in
Install 5/16" diameter lag screws @ 48 on center withminimum penetration of 2" into rafter.
152 S. Broad St.
Lansdale, PA 19446(267)640-2758
Client Name:Valley Solar
PFE Project Number:192541
Client Project Number:47RIDDProject:Riddle Residence
Address:47 Water StLeeds, MA 01053Description:Mounting Plane 1
Calculations By:ADLDate:April 23, 2019
Nailing Requirements:(2) 10d Nails @ 12" on center with (3) additional 10d Nails at each end
10d = .12" shank diameter x 3" long minimum
Note: Apply repair to each rafter under PV system
*Suitable Alternate Species:- Spruce-Pine-Fir #2 or #1- Southern-Yellow-Pine #2 or #1
New Sistered Rafter Size:(2)2x6x6' Doug-Fir Larch #2 or better*
152 S. Broad St.
Lansdale, PA 19446(267)640-2758
Client Name:Valley Solar
PFE Project Number:192541
Client Project Number:47RIDDProject:Riddle Residence
Address:47 Water StLeeds, MA 01053Description:Mounting Plane 2
Calculations By:ADLDate:April 23, 2019
Roof Construction
2x8 Rafters at 16" on center
A=10.88 in2
Ix=47.63 in4
Sx=13.14 in3
Wood Species=Doug-Fir Larch #2
Fb=900 psi
Fv=180 psi
E=1600000 psi
Roof Slope=34 °
Rafter Span=10.02 ft
Ceiling Attached to Rafters?:No
Design Criteria
Ground Snow (Pg):50 psf
Design Wind Speed:116 mphLive Load:20 psfDead Load:5.33 psfPV Modules:3.62 psf
Wind Calculations
Directionality Factor (Kd):0.85
Topographic Factor (Kzt):1
Velocity Pressure Exposure Coefficient(Kz):0.7
Importance Factor (I):1
Velocity Pressure (qz):20.5 psf
Tributary Square Footage onComponent:10.83 ft2
Component Roof Pressures:22.06 / -28.14 psf
Snow Load Calculations
Exposure Factor (Ce):1
Thermal Factor (Ct):1
Importance Factor (I):1Flat Roof Snow Loads (Pf):35 psf
Roof Slope Factor (Cs):0.9
Sloped Snow Loads (Ps):31.5 psf
Unbalanced Snow Load:50 psf
Member Calculations
Bending
Md:986.14 ft*lb
fb:900.54 psi
Load Duration Factor (Cd):1.15
Stability Factor (CL):1
Wet Service Factor (CM):1
Temperature Factor (CT):1
Size Factor (CF):1.2
Flat Use Factor (Cfu):1
Incising Factor (Ci):1
Repetitive Member Factor (Cr):1.15
Fb:900 psi
F'b:1428.3 psi 900.54<=1428.3 OK in Bending
Shear
Vd:393.71 lb
fv:54.31 psi
Load Duration Factor (Cd):1.15
Wet Service Factor (CM):1
Temperature Factor (CT):1
Size Factor (CF):1.2
Flat Use Factor (Cfu):1
Incising Factor (Ci):1
Fv:180 psi
F'v):207 psi 54.31<=207 OK in Shear
Deflection
Live Load Deflection (ΔL):0.2 in L/606 OK in Live LoadDeflection
Total Load Deflection (ΔT):0.23 in L/514 OK in Total LoadDeflection
Uplift Calculation
Tributary Square Footage onComponent:10.83 ft2
Uplift Pressure:-28.14 psfUplift per Lag:-304.87 lbs
Lag Screw Diameter:5/16 inAllowable Withdrawal per Inch:490.99 lbs/inMinimal Screw Penetration:0.62 in
Install 5/16" diameter lag screws @ 48 on center withminimum penetration of 2" into rafter.