Loading...
31B-112 39 Munroe SolarTo:Sunbug Solar 411A Highland Ave Somerville, MA 02144 Subject:Structural Certification for Installation of Solar Panels Lombard Residence 39 Munroe Street Northampton, MA. 01060 To Whom It May Concern, Design Criteria: ●Applicable Codes = Massachusetts Residential Code, 9th Edition, ASCE 7-12, and 2015 NDS ●Roof Dead Load = 8 psf (MP1 - barn) -- 12 psf (MP2 - main house) ●Roof Live Load = 20 psf ●Wind Speed = 117 mph, Exposure B ● The spacing of the solar standoffs should be kept at 48" o.c.. I further certify that all applicable loads required by the codes and design criteria listed below were applied to the AEE SnapNRack solar rail system and analyzed. Furthermore, the installation crews have been thoroughly trained to install the solar panels based on the specific roof installation instructions developed by AEE SnapNRack for the racking system and Sunmodo for the roof connections. Finally, I accept the certifications indicated by the solar panel manufacturer for the ability of the panels to withstand high wind and snow loads. January 24, 2019 A design check for the subject residence was done on the existing roofing and framing systems for the installation of solar panels over the roof. From a field inspection of the property, the existing roof support structures were observed by the client's auditors as follows: The roof structure of (MP1 - barn) consists of composition shingle on 1x decking that is supported by true dimensioned 2x5 rafters @ 24"o.c. The rafters have a max projected horizontal span of 9'-0", with a slope of 30 degrees. The rafters are butt joinsted at the ridge, and are supported at the eave by a load bearing wall. There are 2x4 collar ties @ 24"o.c. for structural stability. The roof structure of (MP2 - main house) consists of composition shingle on 1x decking that is supported by true dimensioned 2x6 rafters @ 24"o.c.. The rafters support a vaulted ceiling and have a max projected horizontal span of 14'- 0", with a slope of 30 degrees. The rafters are supported at the ridge by a 2x8 continuous hip rafter and at the eave by a load bearing wall. There is a knee wall that is approximately at the mid-span of the rafters to provide additional bracking to the rafters. The existing roof framing system of (MP1 - barn) is judged to be adequate to withstand the loading imposed by the installation of the solar panels. No reinforcement is necessary. The existing roof framing system of (MP2 - main house) is judged to be adequate to withstand the loading imposed by the installation of the solar panels. No reinforcement is necessary. Ground Snow Load = 40 psf - Roof Snow Load = 28 psf Lombard Resisdence, Northampton 1 Sincerely, Elaine Huang, P.E. Project Engineer Please contact me with any further questions or concerns regarding this project. Lombard Resisdence, Northampton 2 40 psf (ASCE7 - Eq 7-1) 1 (ASCE7 - Table 7-2) 1.1 (ASCE7 - Table 7-3) 1.1 35.0 psf (ASCE7 - Eq 7-2) 0.8 28.0 psf 3.00 3.00 1.39 0.00 (Ceiling Not Vaulted)0.618.0 psf 9.2 psf 3.00 3.001.67 4.000.3312.0 psf 13.86 Gravity Loading PV Dead Load = 4 psf (Per Sunbug Solar) 1x Decking Vaulted Ceiling 2x5 Rafters @ 24"o.c. 2x6 Rafters @ 24"o.c. MiscellaneousTotal Roof DL (MP2 - main house) Total Roof DL (MP1 - barn) Roof Dead Load (MP2 - main house) Composition Shingle DL Adjusted to 30 Degree Slope DL Adjusted to 30 Degree Slope Roof Snow Load Calculations pg = Ground Snow Load = Miscellaneous 1x Decking Vaulted Ceiling Ce = Exposure Factor = pf = 0.7 Ce Ct I pg Ct = Thermal Factor = I = Importance Factor = Cs = Slope Factor = Roof Dead Load (MP1 - barn) Composition Shingle ps = Cspf ps = Sloped Roof Snow Load = pf = Flat Roof Snow Load = Lombard Resisdence, Northampton 3 Per ASCE 7-12 Components and Cladding 117 mph BGable/Hip30 degrees 20 ft40 ft 17.5 ft (Eq_6-15)0.7 (Table 6-3) 1 (Fig. 6-4)0.85 (Table 6-4) 117 mph 1 (Table 6-1)qh = 20.85 Zone 1 Zone 2 Zone 3 Positive GCp =-0.90 -1.10 -1.10 0.85 (Fig. 6-11)Uplift Pressure =-18.77 psf -22.94 psf -22.94 psf 17.7 psf X Standoff Spacing =4.00 4.00 4.00 Y Standoff Spacing =2.75 2.75 2.75Tributary Area =11.00 11.00 11.00Footing Uplift =-206 lb -252 lb -252 lb -252 lb 400 lb Therefore, OK Fastener =1 - 5/16" dia Lag Number of Fasteners =1 Embedment Depth =2.5Pullout Capacity Per Inch =250 lb Fastener Capacity =625 lbw/ F.S. of 1.5 =417 lbTherefore, OK Wind Calulations Input VariablesWind Speed Effective Wind Area Design Wind Pressure Calculations Roof Shape Building Least Width Roof Slope 417 lb capacity > 252 lb demand Maximum Design Uplift = Standoff Uplift Capacity = 400 lb capacity > 252 lb demand Fastener Capacity Check Standoff Uplift Check Kz (Exposure Coefficient) = Kzt (topographic factor) = Kd (Wind Directionality Factor) = V (Design Wind Speed) = I Importance Factor = qh = 0.00256 * Kz * Kzt * Kd * V^2 * IWind Pressure P = qh*(G*Cp) Exposure Category Mean Roof Height Standoff Uplift Calculations Lombard Resisdence, Northampton 4 PASS Dead Load 9.2 psfPV Load 4.0 psf Snow Load 28.0 psf Governing Load Combo = DL + SLTotal Load 41.2 psf Fb (psi) =f'b x Cd x Cf x Cr (NDS Table 4.3.1)975 x 1.15 x 1.3 x 1.15 Allowed Bending Stress = 1676.2 psi (wL^2) / 8 =835.061 ft# =10020.7 in# Actual Bending Stress = (Maximum Moment) / S = 1202.5 psi L/180 (E = 1500000 psi Per NDS)=0.6 in Deflection Criteria Based on =(5*w*L^4) / (384*E*I)= =L/277 >L/180 Therefore OK Allowed Deflection (Live Load) =L/240 0.45 in(5*w*L^4) / (384*E*I) L/408 >L/240 Therefore OK Member Area =Fv (psi) =150 psi (NDS Table 4A)Allowed Shear = Fv * A =Max Shear (V) = w * L / 2 =371 lb Framing Check (MP1 - barn) Simple Span 0.390 in 0.265 in Member Properties Member Size2x5 S (in^3)8.33 HF#1 Member Spacing@ 24"o.c. Maximum Moment = Check Deflection I (in^4)20.83 Lumber Sp/Gr Actual Deflection (Live Load) = Allowed Deflection (Total Load) = Actual Deflection (Total Load) = Allowed > Actual -- 71.8% Stressed -- Therefore, OK 1500 lb Allowed > Actual -- 24.8% Stressed -- Therefore, OK 10.0 in^2 Check Shear w = 82 plf (True Dimensions) Check Bending Stress 2x5 Rafters @ 24"o.c. Member Span = 9' - 0" Lombard Resisdence, Northampton 5 PASS Dead Load 13.9 psfPV Load 4.0 psf Snow Load 28.0 psf Governing Load Combo = DL + SLTotal Load 45.9 psf Fb (psi) =f'b x Cd x Cf x Cr (NDS Table 4.3.1)1400 x 1.15 x 1.3 x 1.15 Allowed Bending Stress = 2406.9 psi (wL^2) / 8 =2246.96 ft# =26963.6 in# Actual Bending Stress = (Maximum Moment) / S = 2247 psi L/180 (E = 1600000 psi Per NDS)=0.933 in Deflection Criteria Based on =(w*L^4) / (185*E*I)= =L/294 >L/180 Therefore OK Allowed Deflection (Live Load) =L/240 0.7 in(w*L^4) / (185*E*I) L/482 >L/240 Therefore OK Member Area =Fv (psi) =150 psi (NDS Table 4A)Allowed Shear = Fv * A =Max Shear (V) = w * L / 2 =642 lb Framing Check (MP2 - main house) Continuous Span 0.349 in 0.572 in 1800 lb Allowed > Actual -- 35.7% Stressed -- Therefore, OK Check Bending Stress Maximum Moment = Allowed > Actual - 93.4% Stressed -- Therefore, OK Check Deflection Allowed Deflection (Total Load) = Actual Deflection (Total Load) = Actual Deflection (Live Load) = (True Dimensions) w = 92 plf 2x6 Rafters @ 24"o.c. Member Span = 14' - 0" Member Properties Member Size S (in^3)I (in^4)Lumber Sp/Gr Member Spacing2x612.00 36.00 HFSS @ 24"o.c. Check Shear 12.0 in^2 Lombard Resisdence, Northampton 6