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HomeMy WebLinkAboutPV2022-056 - CalcsFMT2D%v 1 %45 POR CAA (I lei CALCULATIONS FOR SOLAR PHOTOVOLTAIC PANELS: Owner: Graham Rennison Address: 1845 Port Charles,Newport Beach, CA 92660 INDEX TO CALCULATIONS Sheet Item 1-2 Wind parameters 3-4 Seismic parameters and determination of Fp 5 design loads, roof member check, wind uplift check, deflection 6 attachment check, rail span check 7 lateral check Engineering Calculations Performed By: Doug Engineering 5 Via Belmonte, Rancho Santa Margarita, CA 92688 949-285-5104 Engineering Calculations For: Bright Life Solar 933 Newhall Street, Costa Mesa, CA 92627 (908)489-3933 Project Number: BLS -1865 Date: 2/21/2022 BASIS FOR DESIGN CODE: 2019 California Building Code ASCE 7-16 LIVE LOADS ROOF SNOW 20.0 psf 0.0 psf EXP. 06/30/22 BUILDING DIVISION 81': Y.T. n ASCE 7-16 FLUSH MOUNTED SOLAR PANELS Type of Roof Gable Roof Slope - 0 = Angle of plane of roof from horizontal, in degrees 0 = 19 deg Mean Roof Height - Eave height will be used for <= 10deg h= 22 ft Building dimensions s1 = 30 ft s2 = 40 ft a = 10% of least horizontal dimension or 0.4h, whichever is smaller, but not less than 4% of the least horizontal direction or 3 ft a= 3 f B = Horizontal dimension of building normal to wind direction, in ft. B = 30 ft Horizontal dimension of building Attachment Spacing Effective Area A = 13 ft' p = gh(GCp)(YE)(Ya) 29.4-7 FIGURE 30.3-213 Components & Cladding h<= 60 ft: External Pressure Coefficients, (GCp), for Enclosed and Partially Enclosed Buildings - Gable roofs 7<=20deg qh = 0.00256K,KztKdKeV2 qh = 22.4 psf P = 16.8 '(GCp) Velocity pressure Exposure Coefficient: Wind Exposure C Kzt = 1 Kd = 0.85 KZ = 0.85 Ke = 1 YE = 1 Ya = 0.75 V = 110 mph 1 ROOF OVERHANG (GCp)down = 0.51 0.51 (GCp)upz1 = -2 -2.5 (GCp)upz2e = -2 -2.5 (GCp)upz2n = -2.84 -3.38 (GCp)upz2r = -2.84 -3.38 (GCp)upz3e = -2.84 -3.89 (GCp)upz3r = -3.39 -4.43 qh = 0.00256K,KztKdKeV2 qh = 22.4 psf P = 16.8 '(GCp) Velocity pressure Exposure Coefficient: Wind Exposure C Kzt = 1 Kd = 0.85 KZ = 0.85 Ke = 1 YE = 1 Ya = 0.75 V = 110 mph 1 r Diagrams ASCE 7-16 I t t W I 4 i i [ g I t t { k I 1 7 k 1 I 1 6 C I 1 [ i h I 8 1 I ELEVATION Notation u = 19 5; of least horizontal dimension or OAh, whichever is smaller, but not less than either 4% of least horizontal dimension or 3 ft (0.9 m). If an overhang exists, the edge distance shall be measured from the outside edge of the. overhang. The horizontal dimensions used to compute the edge distance shall not include any overhang distances. 6= Hm izontai dimension of building measured normal to wind direction, in It (m). It = Mean roof height, in ft (m). 0 = Angle of plane of roof from horizontal, in degrees. Wind Pressures Wind Down -AII Zones 8.6 psf 10 psf, MIN 2 ROOF OVERHANG Zone 1 -33.6 psf -42 psf Zone 2e -33.6 psf -42 psf Zone 2n -47.71 psf -56.78 psf Zone 2r -47.71 psf -56.78 psf Zone 3e -47.71 psf -65.35 psf Zone 3r -56.95 psf -74.42 psf All panels are in Zones 1 and 2e ROOF OVERHANG Use -33.6 psf -42 psf 0.6*W -20.2 psf -25.2 psf 2 ASCE 7-16 Soil Site Class = D Seismic Use Group = I SS = 1.701 Mapped Spectral Response acceleration in short periods S1 = 0.629 Mapped Spectral Response acceleration at one second periods Table 1613.2.3(1) Vahies of Site Coefficient Fa SITE CLASS SS< 0.25 SS= 0.5 SS= 0.75SS= 1.0 SS>1.25 SS>1.5 A 0.8 0.8 0.8 0.8 0.8 0.8 B 0.9 0.9 0.9 0.9 1.0 1.0 C 1.3 1.3 1.2 1.2 1.2 1.2 D 1.6 1.4 1.2 1.1 1.0 1.0 E 2.4 1.7 1.3 - - - F - - - Fa = 1.200 (interpolated) SMS = Fa*SS = 2.041 Min. 1.2 per 11.4.3 Table 1613.2.3(2) Valnea of Site Coefficient Fv SITE CLASS S1< 0.1 S1= 0.2 S1= 0.3 S1=0.4 S1>0.5 S1>0.6 A 0.8 0.8 0.8 0.8 0.8 0.8 B 0.8 0.8 0.8 0.8 0.8 0.8 C 1.5 1.5 1.5 1.5 1.5 1.4 D 2.4 2.2 2.0 1.6 1.5 1.7 E 4.2 - - - - - F - Fv = SDS = 2/3 *SMS = 1.700 (interpolated) 1.361 SDS > RISK CATEGORY I, II 1 III IV 0 A A A 0.167 B B C 0.33 C C D 0.5 D D D Seismic Design Category = D SM1 = Fv*S1 = 1.069 SD1 = 2/3 *SM1 = 0.713 SD1 > RISK CATEGORY 1711--r-Ill IV 0 A A A 0.067 B B C 0.133 C C D 0.2 D D D ASCE 7-16 Seismic Use Group Seismic Design Category = D 1 = 1 SS = 1.701 S1 = 0.629 SMS = 2.041 SM1 = 1.069 R = 6.5 Height = 11.375 T = 0.035*hn^.75 = 0.21679 r (Reliability/Redundancy Factor) = 1 SDS = 1.361 SDI = 0.713 (ASCE 7-16 12.8-2) Cs = SDS/(R/1) = 0.2094 W (ASCE 7-16 12.8-3) Cs <= SD1/[(R/I)T] = 0.506 W (ASCE 7-16 12.8-5) Cs >_ .01 = 0.01 W If S1>0.6g (ASCE 7-16 12.8-5) Cs >= 0.5*S1/[R/1] = 0.048 W V(controls) = 0.2094 W Determine Fp for seismic loading on attachments Seismic Load on Nonstructural Components Spacing of attachments 5.33 ft Tributary width of attachments = 1/2 Panel length = 32.4 in AP = 14.4 ft` PV unit weight including racking = 3 psf WP = 43.173 Ib Other mechanical/electrical components ap = 1 Fp = 0.4a,SDS*Wp/(RP/lp)(1+2z/h) RP = 1.5 Ip = 1 Fp <= 1.6SDS*IPWP SDS = 1.361 WP = 43.173 Ib Fp >= 0.3SDS*IPWP Z= 22 ft h= 22 ft 47.01 Ib 13.3-1 94.01 Ib 13.3-2 17.63 Ib 13.3-3 PROJECT: PV Panels for Graham Rennison CLIENT: Bright Life Solar BY: Doug Engineering SHEET: 5 OF 7 DATE: 2/21/2022 DE JOB NO.: BLS -1865 DESIGN LOADS Dead Loads Uplift Roof 0.6WL WOOD SHAKE 3.5 psf 0.6WL Zone 1 and 2e -20.2 psf, MIN 10 PSF 5/8" Ply shtg 1.9 Overhang -25.2 psf Rf Frm'g 2.8 PWLdown = 8.6 psf 10 psf, MIN 10 PSF Misc. 1.5 Uplift 0.6DL+0.6WL (N) PV System 3.0 Zone 1 0.6*3 -20.2 -18.4 psf Zone 2 0.6*3 -25.2 -23.4 psf Total DL 12.7 psf Downward DL+0.6WL LL 20.0 psf PDL.wL= 13.0 psf SNOW 0.0 psf Rafter Check Existing 2x8 RAFTERS @ 24" o.c Spacing 2.00 ft Trib panel width = 5.33 ft E 1500000 psi Fb= 900*1.2*1.15 1242 psi 1 47.6 in"4 MalloW ina = 2176 ft -Ib Spent 12.16 ft MM.L = 1700 ft -Ib Span2 0.00 ft See below for Wind Uplift loads Span3 0.00 ft due to concentated loads at attachments Span4 0.00 ft d Wind Mmax Wind P= (Distance Load Trib W Uplift wind(ft- Down PVDL P = DL+WL to Att. Pts) a b R1 (lb) R2 (lb (psf) (ft) (lb) Ib) (lb) (lb) (Ib) -1.50 1 -0.50 -0.50 12.66 377.0 -14.9 25.2 5.3 362.1 -181 143.69 43.1 186.8 2 2.89 2.89 9.27 221.2 69.0 20.2 5.3 290.2 640 143.69 43.1 186.8 3 4.89 4.89 7.27 173.5 116.8 20.2 5.3 290.2 849 143.69 43.1 186.8 4 8.28 8.28 3.88 92.5 197.7 20.2 5.3 290.2 766 143.69 43.1 186.8 9.28 Span 1 Uniform DL 12.16 70.8 70.8 5.8 psf 2.0 11.6 plf 215.1 Reactions at Span1 935.0 439.4 Negative values are uplift reactions Mmaxwindup = 1224 ft -Ib < 2176 ft -Ib OK Mmaxwinddown = 1446 ft -Ib < 2176 ft -Ib OK For DL+LL including the PV system weight point loads w = 59.4 plf P = 43.1 Ib Mmax = 1339 ft -Ib < 1700 ft -Ib OK Deflection Check DDL = 5wL"/(384EI) (5*12.7*12.16"4)*1728 = 0.175 in = L/ 834.3 OK 384*1.5E6*47.6 PROJECT: PV Panels for Graham Rennison SHEET: 6 OF 7 CLIENT: Bright Life Solar DATE: 2/21/2022 BY: Doug Engineering DE JOB NO.: BLS -1865 CHECK SCREW ATTACHMENTS FOR WIND UPLIFT Pwuplift= 362.1 Ib 5/16" Lag with min 2.5" penetration for each attachment Table 12.2A - NDS - Lag Screw Withdrawal Values For 5/16" Lag into .5G wood 266 Ib Allowable wind load = 1.6*2.5*266 1064 Ib > 362.1 Ib OK CHECK SCREW ATTACHMENTS FOR SHEAR DUE TO SEISMIC Fp Fp = 47.01 Ib Roof slope/module tilt 19 deg Shear = Fp*cos(. 19 ) = 44.4 Ib Fp sin(ang) Tension = Fp*sin( 19 ) = 15.3 Ib Fp cos( ang) Table 11K -NDS Z= 190 lb Co= 1.6 Z1= Z*Co= 304 Ib > 44.45 Ib OK Withdrawal capacity W = 1064 Ib Interaction Equation ft/Fi+f,/F, 0.355 + 0.146 = 0.501 < 1 OK RAIL SPAN CHECK Ironridge Railing Check Load for half a panel = 2.7' wxR1o= 62.1 plf Per the Ironridge Structural Analysis of the Ironridge XR10 Rail for 110 mph and 0 psf snow, the max span forXR10 Ironridge Rails is 79" for Exposure C Use XR10 Rails with a spacing of 64" o.c. max for attachment points. PROJECT: PV Panels for Graham Rennison CLIENT: Bright Life Solar BY: Doug Engineering SHEET: 7 DATE: 2/21/2022 DE JOB NO.: BLS -1865 OF 7 LATERAL ANALYSIS DETERMINE ADDITIONAL LOAD COMPARED TO EXISTING FOR LATERAL LOADING Aroofexisting = 3423.8 sf Wpanel= 48.5 lb Wroofexisting= 9.7*3423.78 = 33211 Ib 20 *Wpanei = 970 Ib Wwallexistmg= 15*80*4 = 4800 lb Wrestofarray= 308 lb Wexisting= 38011 Ib Wanay= 1278 lb V = 0.209 W Vroofexisgng= 7944 Ib Existing Total Lateral Force Vroofwpaneis = 8211 Ib New Total Later Force % increase = 8211 *100%-100% = 3% increase which results in less than a 10% increase in the 7944 stress of existing lateral resisting elements OK