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Rios Engineering Letter FlatBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 'RPXV6WUXFWXUDO(QJLQHHULQJ//& 32%R[ %URRPILHOG&2 SURMHFWV#GRPXVVWUXFFRP dŽ͗ ůƵĞZĂǀĞŶ^ŽůĂƌ ϭϰϬϯEŽƌƚŚZĞƐĞĂƌĐŚtĂǇ͕ƵŝůĚŝŶŐ: KƌĞŵ͕hd͘ϴϰϬϵϳ ^ƵďũĞĐƚ͗ ĞƌƚŝĨŝĐĂƚŝŽŶ>ĞƚƚĞƌ ZŝŽƐZĞƐŝĚĞŶĐĞ ϵϭϯϲDŽƵŶƚĂŝŶ^ƵŶƌŝƐĞ^ƚ͘^ zĞůŵ͕t͘ϵϴϱϵϳ dŽtŚŽŵ/ƚDĂǇŽŶĐĞƌŶ͕ ĞƐŝŐŶƌŝƚĞƌŝĂ͗ භ ƉƉůŝĐĂďůĞŽĚĞƐсϮϬϭϴ/ͬ/Z͕^ϳͲϭϲ භ ZŽŽĨĞĂĚ>ŽĂĚсϳƉƐĨ;DWϭͿ භ ZŽŽĨ>ŝǀĞ>ŽĂĚсϮϬƉƐĨ භ tŝŶĚ^ƉĞĞĚсϭϭϬŵƉŚ;sƵůƚͿ͕ǆƉŽƐƵƌĞ භ භ ^ŝŶĐĞƌĞůǇ͕ :ŽŚŶĂůǀĞƌƚ͕W͘͘ WƌŽũĞĐƚŶŐŝŶĞĞƌ dŚĞƐĐŽƉĞŽĨƚŚŝƐƌĞƉŽƌƚŝƐƐƚƌŝĐƚůǇůŝŵŝƚĞĚƚŽĂŶĞǀĂůƵĂƚŝŽŶŽĨƚŚĞĨĂƐƚĞŶĞƌĂƚƚĂĐŚŵĞŶƚ͕ƵŶĚĞƌůǇŝŶŐĨƌĂŵŝŶŐĂŶĚƐƵƉƉŽƌƚŝŶŐ ƐƚƌƵĐƚƵƌĞŽŶůǇ͘dŚĞĂƚƚĂĐŚŵĞŶƚƐƚŽƚŚĞĞǆŝƐƚŝŶŐƐƚƌƵĐƚƵƌĞĂƌĞƌĞƋƵŝƌĞĚƚŽďĞŝŶĂƐƚĂŐŐĞƌĞĚƉĂƚƚĞƌŶƚŽĞŶƐƵƌĞƉƌŽƉĞƌĚŝƐƚƌŝďƵƚŝŽŶ ŽĨůŽĂĚŝŶŐ͘ůůƉĂŶĞůƐ͕ƌĂĐŬŝŶŐĂŶĚŚĂƌĚǁĂƌĞƐŚĂůůďĞŝŶƐƚĂůůĞĚƉĞƌŵĂŶƵĨĂĐƚƵƌĞƌƐƉĞĐŝĨŝĐĂƚŝŽŶƐĂŶĚǁŝƚŚŝŶƐƉĞĐŝĨŝĞĚĚĞƐŝŐŶ ůŝŵŝƚĂƚŝŽŶƐ͘ůůǁĂƚĞƌƉƌŽŽĨŝŶŐƐŚĂůůďĞƉƌŽǀŝĚĞĚďǇƚŚĞŵĂŶƵĨĂĐƚƵƌĞƌ͘ŽŵƵƐ^ƚƌƵĐƚƵƌĂůŶŐŝŶĞĞƌŝŶŐĂƐƐƵŵĞƐŶŽƌĞƐƉŽŶƐŝďŝůŝƚǇĨŽƌ ŵŝƐƵƐĞŽƌŝŵƉƌŽƉĞƌŝŶƐƚĂůůĂƚŝŽŶŽĨƚŚĞƐŽůĂƌWsƉĂŶĞůƐŽƌƌĂĐŬŝŶŐ͘ WůĞĂƐĞĐŽŶƚĂĐƚŵĞǁŝƚŚĂŶǇĨƵƌƚŚĞƌƋƵĞƐƚŝŽŶƐŽƌĐŽŶĐĞƌŶƐƌĞŐĂƌĚŝŶŐƚŚŝƐƉƌŽũĞĐƚ͘ ƚƚĂĐŚŵĞŶƚ͗ϭͲϱͬϭϲĚŝĂ͘ůĂŐƐĐƌĞǁǁŝƚŚϮ͘ϱŝŶĐŚŵŝŶ͘ĞŵďĞĚŵĞŶƚ ĚĞƉƚŚ͕ĂƚƐƉĂĐŝŶŐƐŚŽǁŶĂďŽǀĞ͘ ƉƌŝůϭϬ͕ϮϬϮϰ dŚĞƌŽŽĨƐƚƌƵĐƚƵƌĞŽĨ;DWϭͿĐŽŶƐŝƐƚƐŽĨĐŽŵƉŽƐŝƚŝŽŶƐŚŝŶŐůĞŽŶƌŽŽĨƉůǇǁŽŽĚƚŚĂƚŝƐƐƵƉƉŽƌƚĞĚďǇƉƌĞͲŵĂŶƵĨĂĐƚƵƌĞĚƚƌƵƐƐĞƐƚŚĂƚ ĂƌĞƐƉĂĐĞĚĂƚΛϮϰΗŽ͘Đ͘͘dŚĞƚŽƉĐŚŽƌĚƐ͕ƐůŽƉĞĚĂƚϮϯĚĞŐƌĞĞƐ͕ĂƌĞϮǆϰƐĞĐƚŝŽŶƐ͕ƚŚĞďŽƚƚŽŵĐŚŽƌĚƐĂƌĞϮǆϰƐĞĐƚŝŽŶƐĂŶĚƚŚĞǁĞď ŵĞŵďĞƌƐĂƌĞϮǆϰƐĞĐƚŝŽŶƐ͘dŚĞƚƌƵƐƐŵĞŵďĞƌƐĂƌĞĐŽŶŶĞĐƚĞĚďǇƐƚĞĞůŐƵƐƐĞƚƉůĂƚĞƐ͘dŚĞŵĂǆƵŶƐƵƉƉŽƌƚĞĚƉƌŽũĞĐƚĞĚŚŽƌŝǌŽŶƚĂů ƚŽƉĐŚŽƌĚƐƉĂŶŝƐĂƉƉƌŽǆŝŵĂƚĞůǇϲΖͲϬΖΖ͘ dŚĞĞǆŝƐƚŝŶŐƌŽŽĨĨƌĂŵŝŶŐƐǇƐƚĞŵŽĨ;DWϭͿŝƐũƵĚŐĞĚƚŽďĞĂĚĞƋƵĂƚĞƚŽǁŝƚŚƐƚĂŶĚƚŚĞůŽĂĚŝŶŐŝŵƉŽƐĞĚďǇƚŚĞŝŶƐƚĂůůĂƚŝŽŶŽĨƚŚĞ ƐŽůĂƌƉĂŶĞůƐ͘EŽƌĞŝŶĨŽƌĐĞŵĞŶƚŝƐŶĞĐĞƐƐĂƌǇ͘ ZŽŽĨ^ŶŽǁ>ŽĂĚсϮϱƉƐĨ dŚĞƐƉĂĐŝŶŐŽĨƚŚĞƐŽůĂƌƐƚĂŶĚŽĨĨƐƐŚŽƵůĚďĞŬĞƉƚĂƚϳϮΗŽ͘Đ͘ĨŽƌůĂŶĚƐĐĂƉĞĂŶĚϰϴΗŽ͘Đ͘ĨŽƌƉŽƌƚƌĂŝƚŽƌŝĞŶƚĂƚŝŽŶ͕ǁŝƚŚĂƐƚĂŐŐĞƌĞĚ ƉĂƚƚĞƌŶƚŽĞŶƐƵƌĞƉƌŽƉĞƌĚŝƐƚƌŝďƵƚŝŽŶŽĨůŽĂĚƐ͘ ũŽďƐŝƚĞŽďƐĞƌǀĂƚŝŽŶŽĨƚŚĞĐŽŶĚŝƚŝŽŶŽĨƚŚĞĞǆŝƐƚŝŶŐĨƌĂŵŝŶŐƐǇƐƚĞŵǁĂƐƉĞƌĨŽƌŵĞĚďǇĂŶĂƵĚŝƚƚĞĂŵŽĨůƵĞZĂǀĞŶ^ŽůĂƌĂƐĂ ƌĞƋƵĞƐƚĨƌŽŵŽŵƵƐ^ƚƌƵĐƚƵƌĂůŶŐŝŶĞĞƌŝŶŐ͘ůůƌĞǀŝĞǁŝƐďĂƐĞĚŽŶƚŚĞƐĞŽďƐĞƌǀĂƚŝŽŶƐĂŶĚƚŚĞĚĞƐŝŐŶĐƌŝƚĞƌŝĂůŝƐƚĞĚďĞůŽǁĂŶĚ ŽŶůǇĚĞĞŵĞĚǀĂůŝĚŝĨƉƌŽǀŝĚĞĚŝŶĨŽƌŵĂƚŝŽŶŝƐƚƌƵĞĂŶĚĂĐĐƵƌĂƚĞ͘ KŶƚŚĞĂďŽǀĞƌĞĨĞƌĞŶĐĞĚƉƌŽũĞĐƚ͕ƚŚĞƌŽŽĨƐƚƌƵĐƚƵƌĂůĨƌĂŵŝŶŐŚĂƐďĞĞŶƌĞǀŝĞǁĞĚĨŽƌĂĚĚŝƚŝŽŶĂůůŽĂĚŝŶŐĚƵĞƚŽƚŚĞŝŶƐƚĂůůĂƚŝŽŶŽĨ ƚŚĞƐŽůĂƌWsĂĚĚŝƚŝŽŶƚŽƚŚĞƌŽŽĨ͘dŚĞƐƚƌƵĐƚƵƌĂůƌĞǀŝĞǁŽŶůǇĂƉƉůŝĞƐƚŽƚŚĞƐĞĐƚŝŽŶŽĨƚŚĞƌŽŽĨƚŚĂƚŝƐĚŝƌĞĐƚůǇƐƵƉƉŽƌƚŝŶŐƚŚĞƐŽůĂƌ WsƐǇƐƚĞŵĂŶĚŝƚƐƐƵƉƉŽƌƚŝŶŐĞůĞŵĞŶƚƐ͘dŚĞŽďƐĞƌǀĞĚƌŽŽĨĨƌĂŵŝŶŐŝƐĚĞƐĐƌŝďĞĚďĞůŽǁ͘/ĨĨŝĞůĚĐŽŶĚŝƚŝŽŶƐĚŝĨĨĞƌ͕ĐŽŶƚƌĂĐƚŽƌƚŽ ŶŽƚŝĨǇĞŶŐŝŶĞĞƌƉƌŝŽƌƚŽƐƚĂƌƚŝŶŐĐŽŶƐƚƌƵĐƚŝŽŶ͘ 5LRV<HOP:$ Digitally signed by John A. Calvert Date: 2024.04.10 10:45:17 -06'00' BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 'RPXV6WUXFWXUDO(QJLQHHULQJ//& 32%R[ %URRPILHOG&2 SURMHFWV#GRPXVVWUXFFRP 25.0 psf (ASCE7 - Eq 7-1) 1 (ASCE7 - Table 7-2) 1 (ASCE7 - Table 7-3) 1 25.0 psf (ASCE7 - Eq 7-2) 1.00 25.0 psf 3.26 psf 3.0 psf 4.00 ft 6.08 ft 24.33 sft 73 lb 4.00 psf 2.00 psf 0.73 psf 0.00 psf (Ceiling Not Vaulted) 0.27 psf 7.0 psf 7.6 psf PV Dead Load = 3 psf (Per Blue Raven Solar) DL Adjusted to 23 Degree Slope Point Loads of Standoffs Miscellaneous Vaulted Ceiling Total Roof DL (MP1) Roof Live Load = 20 psf Roof Plywood Roof Dead Load (MP1) Composition Shingle Note: Roof live load is removed in area's covered by PV array. Roof Snow Load Calculations pg = Ground Snow Load = Ce = Exposure Factor = pf = 0.7 Ce Ct I pg Ct = Thermal Factor = I = Importance Factor = Cs = Slope Factor = Standoff Tributary Area = ps = Cspf ps = Sloped Roof Snow Load = pf = Flat Roof Snow Load = DL Adjusted to 23 Degree Slope *UDYLW\/RDGLQJ PV System Weight Weight of PV System (Per Blue Raven Solar) X Standoff Spacing = Y Standoff Spacing = Note: PV standoffs are staggered to ensure proper distribution of loading 2x4 Top Chords @ 24"o.c. 5LRV<HOP:$ BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 'RPXV6WUXFWXUDO(QJLQHHULQJ//& 32%R[ %URRPILHOG&2 SURMHFWV#GRPXVVWUXFFRP 110 mph C Gable Roof 23 degrees 20 ft 21.3 ft 0 ft (Eq. 26.10-1) 0.90 (Table 30.3-1) 1.00 (Fig. 26.8-1) 0.85 (Table 26.6-1) 1.00 110 mph (Fig. 26.5-1A) II (Table 1.5-1) qh = 23.75 psf Zone 1 Zone 2 Zone 3 Positive ya =0.67 0.77 0.80 0.67 GCp = (Fig. 30.3) Uplift Pressure =SVI SVI SVI SVI (T ASD Uplift Pressure =SVI SVI SVI SVI X Standoff Spacing = 4.00 ft 4.00 ft 2.67 ft Y Standoff Spacing = 6.08 ft 3.04 ft 3.04 ft Tributary Area = 24.33 sqft 12.17 sqft 8.11 sqft Dead Load on attachment = 73 lb 37 lb 24 lb Footing Uplift (0.6D+0.6W) = -293 lb -300 lb -272 lb Zone 1 Zone 2 Zone 3 Positive ya =0.69 0.79 0.80 0.69 GCp = (Fig. 30.3) Uplift Pressure =SVI SVI SVI SVI (T ASD Uplift Pressure (0.6W)=SVI SVI SVI SVI X Standoff Spacing = 6.00 ft 6.00 ft 4.00 ft Y Standoff Spacing = 3.50 ft 1.75 ft 1.75 ft Tributary Area = 21.00 sqft 10.50 sqft 7.00 sqft Dead Load on attachment = 63 lb 32 lb 21 lb Footing Uplift (0.6D+0.6W) = -270 lb -275 lb -243 lb -300 lb 450 lb Therefore, OK Fastener =1 - 5/16" dia. lag Number of Fasteners = 1 Embedment Depth = 2.50 in. Pullout Capacity Per Inch = 250 lb Fastener Capacity = 625 lb w/ F.S. of 1.5 & DOL of 1.6= 667 lb Therefore, OK :LQG&DOFXODWLRQV Maximum Design Uplift = Design Wind Pressure Calculations qh = 0.00256 * Kz * Kzt * Kd * Ke * V^2 Kz (Exposure Coefficient) = Kzt (Topographic Factor) = Wind Speed Exposure Category Roof Shape Roof Slope Effective Wind Area WĞƌ^ϳͲϭϲŽŵƉŽŶĞŶƚƐĂŶĚůĂĚĚŝŶŐ Input Variables Fastener Capacity Check Mean Roof Height Ground Elevation Kd (Wind Directionality Factor) = 667.2 lb capacity > 300 lb demand Ke (Ground Elevation Factor) = V (Design Wind Speed) = Risk Category = Standoff Uplift Calculations-Portrait Standoff Uplift Calculations-Landscape Standoff Uplift Check Standoff Uplift Capacity = 450 lb capacity > 300 lb demand 5LRV<HOP:$ BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 'RPXV6WUXFWXUDO(QJLQHHULQJ//& 32%R[ %URRPILHOG&2 SURMHFWV#GRPXVVWUXFFRP 03PASS Dead Load 7.6 psf PV Load 3.3 psf Snow Load 25.0 psf Governing Load Combo = DL + SL Total Load 35.9 psf Fb (psi) = f'b x Cd x Cf x Cr (NDS Table 4.3.1) 900 x 1.15 x 1.5 x 1.15 Allowed Bending Stress = 1785.3 psi (wL^2) / 8 = 322.7724 ft# = 3873.269 in# Actual Bending Stress = (Maximum Moment) / S = 1264.8 psi L/180 (E = 1600000 psi Per NDS) = 0.4 in Deflection Criteria Based on = (w*L^4) / (185*E*I) = = L/706 > L/180 Therefore OK Allowed Deflection (Live Load) =L/240 0.3 in (w*L^4) / (185*E*I) L/1015 > L/240 Therefore OK Member Area = Fv (psi) = 180 psi (NDS Table 4A) Allowed Shear = Fv * A = Max Shear (V) = w * L / 2 = 215 lb Check Bending Stress (True Dimensions) Continuous Span 0.102 in 0.071 in Member Properties Member Size 2x4 S (in^3) 3.06 DF#2 Member Spacing @ 24"o.c. Maximum Moment = Check Deflection I (in^4) 5.36 Lumber Sp/Gr Actual Deflection (Live Load) = Allowed Deflection (Total Load) = Actual Deflection (Total Load) = Allowed > Actual -- 70.9% Stressed -- Therefore, OK 945 lb Allowed > Actual -- 22.8% Stressed -- Therefore, OK 5.3 in^2 Check Shear w = 72 plf 2x4 Top Chords @ 24"o.c. Member Span = 6' - 0" )UDPLQJ&KHFN 5LRV<HOP:$ BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 'RPXV6WUXFWXUDO(QJLQHHULQJ//& 32%R[ %URRPILHOG&2 SURMHFWV#GRPXVVWUXFFRP Level Area Weight (psf) Weight (lb) Roof 2500 sf 7.6 psf 19011 lb Ceiling 2500 sf 6.0 psf 15000 lb Wood Siding 100 ft 5.0 psf 2000 lb (8'-0" Wall Height) Int. Walls 100 ft 6.4 psf 2560 lb 38571 lb 3.0 psf 384 sf 1152 lb 3857 lb 1152 lb 3.0% /DWHUDO&KHFN 3857 lb > 1152 lb, Therefore OK Existing Weight of Effected Building Existing Weight of Effected Building Proposed Weight of PV System Weight of PV System (Per Blue Raven Solar) Approx. 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