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13-020 JB-0102782-00_Calcs_ENP_MA_TBD Version #71.0 - TBD RU RE: CERTIFICATION LETTER Project/Job # 0102782 Project Address: Sims Residence 20 Rockland Heights Northampton, MA 01060 AHJ Northampton SC Office Marlborough Design Criteria: - MP2: 4x6 @ 24'' OC, Roof DL = 9 psf, Roof LL/SL = 28 psf (Non-PV), Roof LL/SL = 28 psf (PV) Note: Per IBC 1613.1; Seismic check is not required because Ss = 0.22462 < 0.4g and Seismic Design Category (SDC) = B < D To Whom It May Concern, Additionally, I certify that the PV module assembly including all standoffs supporting it have been reviewed to be in accordance with the manufacturer’s specifications and to meet and/or exceed all requirements set forth by the referenced codes for loading. December 13, 2017 The PV assembly hardware specifications are contained in the plans/docs submitted for approval. - Applicable Codes = MA Res. Code, 8th Edition / IEBC, ASCE 7-05, and 2005 NDS - Risk Category = II - Wind Speed = 90 mph, Exposure Category C, Partially/Fully Enclosed Method - Ground Snow Load = 40 psf A jobsite survey of the existing framing system of the address indicated above was performed by a site survey team from Tesla. Structural evaluation was based on site observations and the design criteria listed above. Based on this evaluation, I certify that the alteration to the existing structure by installation of the PV system, with upgrades specified in the plans, meets the requirements of the applicable existing building and/or new building provisions adopted/referenced above. Tesla, Inc. 3055 Clearview Way, San Mateo, CA 94402 p 650 638 1028 f 650 638 1029 Version #71.0 - TBD RU X-X Spacing X-X Cantilever Y-Y Spacing Y-Y Cantilever Configuration Uplift DCR MP2 72''24''39''NA Staggered 35.1% X-X Spacing X-X Cantilever Y-Y Spacing Y-Y Cantilever Configuration Uplift DCR MP2 48''18''65''NA Staggered 39.0% Type Spacing Pitch MP2 Stick Frame 24'' O.C.26° Member Evaluation Results Member Analysis OK w/ Upgrades as Specified in Plans Hardware - Landscape Modules' Standoff Specifications Qualification Results HARDWARE DESIGN AND STRUCTURAL ANALYSIS RESULTS SUMMARY TABLES Landscape Hardware Portrait Hardware Mounting Plane Framing Hardware - Portrait Modules' Standoff Specifications Refer to the submitted drawings for details of information collected during a site survey. All member analysis and/or evaluation is based on framing information gathered on site. The existing gravity and lateral load carrying members were evaluated in accordance with the IEBC and the IBC. Structure Tesla, Inc. 3055 Clearview Way, San Mateo, CA 94402 p 650 638 1028 f 650 638 1029 Overhang 2.16 ft Net W 3.25'' Span 1 11.98 ft Equiv D 5.64'' Number of Spans (w/o Overhang)1 Span 2 Nominal No Roofing Material Comp Roof Span 3 A (in^2)18.32 Re-Roof No Span 4 Sx (in.^3)17.21 Plywood Sheathing No Span 5 Ix (in^4)48.49 Board Sheathing Solid-Sheathing Total Rake Span 15.73 ft TL Defl'n Limit 120 Vaulted Ceiling No PV 1 Start 1.08 ft Wood Species SPF Ceiling Finish 1/2" Gypsum Board PV 1 End 10.17 ft Wood Grade #2 Rafter Slope 26°PV 2 Start Fb (psi)875 Rafter Spacing 24'' O.C.PV 2 End Fv (psi)135 Top Lat Bracing Full PV 3 Start E (psi)1,400,000 Bot Lat Bracing At Supports PV 3 End E-min (psi)510,000 Roof Pitch 6/12 Initial Pitch Adjust Non-PV Areas PV Areas Roof Dead Load DL 9.0 psf x 1.11 10.0 psf 10.0 psf PV Dead Load PV-DL 3.0 psf x 1.11 3.3 psf Roof Live Load RLL 20.0 psf x 0.90 18.0 psf Live/Snow Load LL/SL1,2 40.0 psf x 0.7 ǀ x 0.7 28.0 psf 28.0 psf Total Load (Governing LC)TL 38.0 psf 41.4 psf Governing Analysis Max Moment @ Location Capacity DCR Result (+) Bending Stress (psi)953.9 8.3 ft 1,504.3 63%Pass Member Analysis Results Summary Notes: 1. ps = Cs*pf; Cs -roof, Cs -pv per ASCE 7 [Figure 7-2] 2. pf = 0.7 (Ce) (Ct) (Is) pg ; Ce=0.9, Ct=1.1, Is=1.0 Roof System Properties STRUCTURE ANALYSIS - LOADING SUMMARY AND MEMBER CHECK - MP2 Member Loading Summary STRUCTURE ANALYSIS - LOADING SUMMARY AND MEMBER CHECK - MP2 Member Properties Summary MP2 Horizontal Member Spans Upgraded Rafter Properties Roofing Material Roof Slope Framing Type / Direction PV System Type Zep System Type Standoff (Attachment Hardware) Spanning Vents Design Code IBC 2009 Wind Design Method Basic Wind Speed V Fig. 6-1 Exposure Category Section 6.5.6.3 Roof Style Fig. 6-11B/C/D-14A/B Mean Roof Height h Section 6.2 Wind Pressure Exposure Kz Table 6-3 Topographic Factor Kzt Section 6.5.7 Wind Directionality Factor Kd Table 6-4 Importance Factor I Table 6-1 Ext. Pressure Coefficient (Up)GCp (Up)Fig. 6-11B/C/D-14A/B Ext. Pressure Coefficient (Down)GCp (Down)Fig. 6-11B/C/D-14A/B Design Wind Pressure p Equation 6-22 Wind Pressure Up p(up) Wind Pressure Down p(down) Y-Direction Max Allowable Standoff Spacing Landscape 39'' Max Allowable Cantilever Landscape NA Standoff Configuration Landscape Max Standoff Tributary Area Trib PV Assembly Dead Load W-PV Net Wind Uplift at Standoff T-actual Uplift Capacity of Standoff T-allow Standoff Demand/Capacity DCR Y-Direction Max Allowable Standoff Spacing Portrait 65'' Max Allowable Cantilever Portrait NA Standoff Configuration Portrait Max Standoff Tributary Area Trib PV Assembly Dead Load W-PV Net Wind Uplift at Standoff T-actual Uplift Capacity of Standoff T-allow Standoff Demand/Capacity DCR -249 lbs 637 lbs 39.0% Staggered 22 sf 3.0 psf X-Direction 48'' 18'' 637 lbs 35.1% 20 sf 3.0 psf -224 lbs 72'' 24'' Staggered ALLOWABLE STANDOFF SPACINGS X-Direction -13.1 psf 10.0 psf -0.88 0.45 p = qh (GCp) 15.0 psf Wind Pressure 1.00 0.85 1.0 Velocity Pressure qh qh = 0.00256 (Kz) (Kzt) (Kd) (V^2) (I)Equation 6-15 Gable Roof 15 ft Wind Pressure Calculation Coefficients 0.85 Partially/Fully Enclosed Method 90 mph C No Wind Design Criteria ASCE 7-05 SolarCity SleekMount™ ZS Comp Comp Mount Type C ZEP HARDWARE DESIGN CALCULATIONS - MP2 Mounting Plane Information Comp Roof 26° Y-Y Rafters