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ENGINEER LETTER - 18-00306 - 815 Engleman St - Solar Install
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ dŽ͗ ůƵĞZĂǀĞŶ^ŽůĂƌ ϭϮϮϬ^͘ϲϯϬ ͘^ƚĞ͘ϰϯϬ ŵĞƌŝĐĂŶ&ŽƌŬ͕hd͘ϴϰϬϬϯ ^ƵďũĞĐƚ͗ ĞƌƚŝĨŝĐĂƚŝŽŶ>ĞƚƚĞƌ tĂůŬĞƌZĞƐŝĚĞŶĐĞ ϴϭϱ ŶŐůĞŵĂŶ^ƚ͘ ZĞdžďƵƌŐ͕/͘ϴϯϰϰϬ dŽtŚŽŵ/ƚDĂLJŽŶĐĞƌŶ͕ ĞƐŝŐŶƌŝƚĞƌŝĂ͗ භ ƉƉůŝĐĂďůĞŽĚĞƐсϮϬϭϱ/ͬ/Z͕^ ϳͲϭϬ͕ĂŶĚE^ͲϭϮ භ ZŽŽĨĞĂĚ>ŽĂĚсϳƉƐĨ;DWϭͿ භ ZŽŽĨ>ŝǀĞ>ŽĂĚсϮϬƉƐĨ භ tŝŶĚ^ƉĞĞĚсϭϭϱŵƉŚ͕ džƉŽƐƵƌĞ භ භ ƚƚĂĐŚŵĞŶƚƐ͗;ϭͿϱͬϭϲΗĚŝĂůĂŐƐĐƌĞǁǁŝƚŚϮ͘ϱΗŵŝŶĞŵďĞĚŵĞŶƚĚĞƉƚŚ͕ĂƚƐƉĂĐŝŶŐƐŚŽǁŶĂďŽǀĞ͘ ^ŝŶĐĞƌĞůLJ͕ :ŽŚŶĂůǀĞƌƚ͕W͘ ͘ WƌŽũĞĐƚ ŶŐŝŶĞĞƌ :ƵŶĞϱ͕ϮϬϭϴ dŚĞƌŽŽĨƐƚƌƵĐƚƵƌĞŽĨ;DWϭͿĐŽŶƐŝƐƚƐŽĨĐŽŵƉŽƐŝƚŝŽŶƐŚŝŶŐůĞŽŶƌŽŽĨƉůLJǁŽŽĚƚŚĂƚŝƐƐƵƉƉŽƌƚĞĚďLJƉƌĞͲŵĂŶƵĨĂĐƚƵƌĞĚƚƌƵƐƐĞƐƚŚĂƚ ĂƌĞƐƉĂĐĞĚĂƚΛϮϰΗŽ͘Đ͘͘dŚĞƚŽƉĐŚŽƌĚƐ͕ƐůŽƉĞĚĂƚϮϭĚĞŐƌĞĞƐ͕ĂƌĞϮdžϰƐĞĐƚŝŽŶƐ͕ƚŚĞďŽƚƚŽŵĐŚŽƌĚƐĂƌĞϮdžϰƐĞĐƚŝŽŶƐĂŶĚƚŚĞǁĞď ŵĞŵďĞƌƐĂƌĞϮdžϰƐĞĐƚŝŽŶƐ͘dŚĞƚƌƵƐƐŵĞŵďĞƌƐĂƌĞĐŽŶŶĞĐƚĞĚďLJƐƚĞĞůŐƵƐƐĞƚƉůĂƚĞƐ͘dŚĞŵĂdžƵŶƐƵƉƉŽƌƚĞĚƉƌŽũĞĐƚĞĚŚŽƌŝnjŽŶƚĂů ƚŽƉĐŚŽƌĚƐƉĂŶŝƐĂƉƉƌŽdžŝŵĂƚĞůLJϲΖͲϯΖΖ͘ dŚĞĞdžŝƐƚŝŶŐƌŽŽĨĨƌĂŵŝŶŐƐLJƐƚĞŵŽĨ;DWϭͿŝƐũƵĚŐĞĚƚŽďĞĂĚĞƋƵĂƚĞƚŽǁŝƚŚƐƚĂŶĚƚŚĞůŽĂĚŝŶŐŝŵƉŽƐĞĚďLJƚŚĞŝŶƐƚĂůůĂƚŝŽŶŽĨƚŚĞ ƐŽůĂƌƉĂŶĞůƐ͘EŽƌĞŝŶĨŽƌĐĞŵĞŶƚŝƐŶĞĐĞƐƐĂƌLJ͘ 'ƌŽƵŶĚ^ŶŽǁ>ŽĂĚсϱϬƉƐĨͲZŽŽĨ^ŶŽǁ>ŽĂĚсϯϱƉƐĨ dŚĞƐƉĂĐŝŶŐŽĨƚŚĞƐŽůĂƌƐƚĂŶĚŽĨĨƐƐŚŽƵůĚďĞŬĞƉƚĂƚϰϴΗŽ͘Đ͘ĨŽƌůĂŶĚƐĐĂƉĞĂŶĚϰϴΗŽ͘Đ͘ĨŽƌƉŽƌƚƌĂŝƚŽƌŝĞŶƚĂƚŝŽŶ͕ǁŝƚŚĂƐƚĂŐŐĞƌĞĚ ƉĂƚƚĞƌŶƚŽĞŶƐƵƌĞƉƌŽƉĞƌĚŝƐƚƌŝďƵƚŝŽŶŽĨůŽĂĚƐ͘ ũŽďƐŝƚĞŽďƐĞƌǀĂƚŝŽŶŽĨƚŚĞĐŽŶĚŝƚŝŽŶŽĨƚŚĞĞdžŝƐƚŝŶŐĨƌĂŵŝŶŐƐLJƐƚĞŵǁĂƐƉĞƌĨŽƌŵĞĚďLJĂŶĂƵĚŝƚƚĞĂŵŽĨůƵĞZĂǀĞŶ^ŽůĂƌĂƐĂ ƌĞƋƵĞƐƚĨƌŽŵŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͘ůůƌĞǀŝĞǁŝƐďĂƐĞĚŽŶƚŚĞƐĞŽďƐĞƌǀĂƚŝŽŶƐĂŶĚƚŚĞĚĞƐŝŐŶĐƌŝƚĞƌŝĂůŝƐƚĞĚďĞůŽǁĂŶĚ ŽŶůLJĚĞĞŵĞĚǀĂůŝĚŝĨƉƌŽǀŝĚĞĚŝŶĨŽƌŵĂƚŝŽŶŝƐƚƌƵĞĂŶĚĂĐĐƵƌĂƚĞ͘ KŶƚŚĞĂďŽǀĞƌĞĨĞƌĞŶĐĞĚƉƌŽũĞĐƚ͕ƚŚĞƌŽŽĨƐƚƌƵĐƚƵƌĂůĨƌĂŵŝŶŐŚĂƐďĞĞŶƌĞǀŝĞǁĞĚĨŽƌĂĚĚŝƚŝŽŶĂůůŽĂĚŝŶŐĚƵĞƚŽƚŚĞŝŶƐƚĂůůĂƚŝŽŶŽĨ ƚŚĞƐŽůĂƌWsĂĚĚŝƚŝŽŶƚŽƚŚĞƌŽŽĨ͘dŚĞƐƚƌƵĐƚƵƌĂůƌĞǀŝĞǁŽŶůLJĂƉƉůLJƐƚŽƚŚĞƐĞĐƚŝŽŶŽĨƚŚĞƌŽŽĨƚŚĂƚŝƐĚŝƌĞĐƚůLJƐƵƉƉŽƌƚŝŶŐƚŚĞƐŽůĂƌ WsƐLJƐƚĞŵĂŶĚŝƚƐƐƵƉƉŽƌƚŝŶŐĞůĞŵĞŶƚƐ͘dŚĞŽďƐĞƌǀĞĚƌŽŽĨĨƌĂŵŝŶŐŝƐĚĞƐĐƌŝďĞĚďĞůŽǁ͘/ĨĨŝĞůĚĐŽŶĚŝƚŝŽŶƐĚŝĨĨĞƌ͕ĐŽŶƚƌĂĐƚŽƌƚŽ ŶŽƚŝĨLJĞŶŐŝŶĞĞƌƉƌŝŽƌƚŽƐƚĂƌƚŝŶŐĐŽŶƐƚƌƵĐƚŝŽŶ͘ dŚĞƐĐŽƉĞŽĨƚŚŝƐƌĞƉŽƌƚŝƐƐƚƌŝĐƚůLJůŝŵŝƚĞĚƚŽĂŶĞǀĂůƵĂƚŝŽŶŽĨƚŚĞĨĂƐƚĞŶĞƌĂƚƚĂĐŚŵĞŶƚ͕ƵŶĚĞƌůLJŝŶŐĨƌĂŵŝŶŐĂŶĚƐƵƉƉŽƌƚŝŶŐ ƐƚƌƵĐƚƵƌĞŽŶůLJ͘dŚĞĂƚƚĂĐŚŵĞŶƚΖƐƚŽƚŚĞĞdžŝƐƚŝŶŐƐƚƌƵĐƚƵƌĞĂƌĞƌĞƋƵŝƌĞĚƚŽďĞŝŶĂƐƚĂŐŐĞƌĞĚƉĂƚƚĞƌŶƚŽĞŶƐƵƌĞƉƌŽƉĞƌĚŝƐƚƌŝďƵƚŝŽŶ ŽĨůŽĂĚŝŶŐ͘ůůƉĂŶĞůƐ͕ƌĂĐŬŝŶŐĂŶĚŚĂƌĚǁĂƌĞƐŚĂůůďĞŝŶƐƚĂůůĞĚƉĞƌŵĂŶƵĨĂĐƚƵƌĞƌƐƉĞĐŝĨŝĐĂƚŝŽŶƐĂŶĚǁŝƚŚŝŶƐƉĞĐŝĨŝĞĚĚĞƐŝŐŶ ůŝŵŝƚĂƚŝŽŶƐ͘ůůǁĂƚĞƌƉƌŽŽĨŝŶŐƐŚĂůůďĞƉƌŽǀŝĚĞĚďLJƚŚĞŵĂŶƵĨĂĐƚƵƌĞƌ͘ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐĂƐƐƵŵĞƐŶŽƌĞƐƉŽŶƐŝďŝůŝƚLJĨŽƌ ŵŝƐƵƐĞŽƌŝŵƉƌŽƉĞƌŝŶƐƚĂůůĂƚŝŽŶŽĨƚŚĞƐŽůĂƌWsƉĂŶĞůƐŽƌƌĂĐŬŝŶŐ͘ WůĞĂƐĞĐŽŶƚĂĐƚŵĞǁŝƚŚĂŶLJĨƵƌƚŚĞƌƋƵĞƐƚŝŽŶƐŽƌĐŽŶĐĞƌŶƐƌĞŐĂƌĚŝŶŐƚŚŝƐƉƌŽũĞĐƚ͘ :DONHU5HVLGHQFH5H[EXUJ,' Digitally signed by John Calvert Date: 2018.06.05 13:40:08 -06'00' ͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺ ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ Exposure: C Wind Speed: 115 mph Risk Category: II Aerial Image :DONHU5HVLGHQFH5H[EXUJ,' ͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺ ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ 50 psf (ASCE7 - Eq 7-1) 1 (ASCE7 - Table 7-2) 1 (ASCE7 - Table 7-3) 1 35.0 psf (ASCE7 - Eq 7-2) 1 35.0 psf 3.0 psf 4.00 ft 2.67 ft 10.68 sft 32 lb 4.00 2.00 0.73 0.00 (Ceiling Not Vaulted) 0.27 7.0 psf 7.5 psf *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. I = Importance Factor = Cs = Slope Factor = Standoff Tributary Area = ps = Cspf ps = Sloped Roof Snow Load = pf = Flat Roof Snow Load = Roof Snow Load Calculations pg = Ground Snow Load = Ce = Exposure Factor = pf = 0.7 Ce Ct I pg Ct = Thermal Factor = 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. DL Adjusted to 21 Degree Slope Point Loads of Standoffs Miscellaneous Vaulted Ceiling Total Roof DL (MP1) PV Dead Load = 3 psf (Per Blue Raven Solar) :DONHU5HVLGHQFH5H[EXUJ,' BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ 115 mph C Gable/Hip 21 degrees 20 ft 19.3 ft (Eq. 30.3-1) 0.9 (Table 30.3-1) 1 (Fig. 26.8-1) 0.85 (Table 26.6-1) 115 mph (Fig. 26.5-1A) II (Table 1.5-1) qh = 25.90 15.54 Zone 1 Zone 2 Zone 3 Positive GCp = -0.86 -1.51 -2.37 0.42 (Fig. 30.4-1) Uplift Pressure = -13.40 psf -23.47 psf -36.86 psf 11.0 psf X Standoff Spacing = 4.00 4.00 2.67 Y Standoff Spacing = 2.67 2.67 2.67 Tributary Area = 10.68 10.68 7.12 Footing Uplift = -143 lb -251 lb -262 lb Zone 1 Zone 2 Zone 3 Positive GCp = -0.86 -1.51 -2.37 0.42 (Fig. 30.4-1) Uplift Pressure = -13.40 psf -23.47 psf -36.86 psf 10.0 psf (Minimum) X Standoff Spacing = 4.00 4.00 2.67 Y Standoff Spacing = 1.67 1.67 1.67 Tributary Area = 6.68 6.68 4.45 Footing Uplift = -89 lb -157 lb -164 lb -262 lb 450 lb Therefore, OK Fastener =1 - 5/16" dia Lag Number of Fasteners = 1 Embedment Depth = 2.5 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 = Standoff Uplift Capacity = 450 lb capacity > 262 lb demand Fastener Capacity Check Standoff Uplift Check Kz (Exposure Coefficient) = Kzt (topographic factor) = Kd (Wind Directionality Factor) = V (Design Wind Speed) = Risk Category = qh = 0.00256 * Kz * Kzt * Kd * V^2 Wind Pressure P = qh*G*Cn Exposure Category WĞƌ^ ϳͲϭϬŽŵƉŽŶĞŶƚƐĂŶĚůĂĚĚŝŶŐ Mean Roof Height Roof Slope 667.2 lb capacity > 262 lb demand 0.6 * qh = Standoff Uplift Calculations-Landscape Input Variables Wind Speed Effective Wind Area Design Wind Pressure Calculations Roof Shape Standoff Uplift Calculations-Portrait :DONHU5HVLGHQFH5H[EXUJ,' ͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺͺ ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ Framing Information & Site Specific Pictures :DONHU5HVLGHQFH5H[EXUJ,' BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ 03 PASS Dead Load 7.5 psf PV Load 3.0 psf Snow Load 35.0 psf Governing Load Combo = DL + SL Total Load 45.5 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 = 444.317 ft# = 5331.8 in# Actual Bending Stress = (Maximum Moment) / S = 1741 psi L/180 (E = 1600000 psi Per NDS) = 0.416 in Deflection Criteria Based on = (w*L^4) / (185*E*I) = = L/494 > L/180 Therefore OK Allowed Deflection (Live Load) =L/240 0.312 in (w*L^4) / (185*E*I) L/642 > L/240 Therefore OK Member Area = Fv (psi) = 180 psi (NDS Table 4A) Allowed Shear = Fv * A = Max Shear (V) = w * L / 2 = 284 lb )UDPLQJ&KHFN 2x4 Top Chords @ 24"o.c. Member Span = 6' - 3" 5.3 in^2 Check Shear w = 91 plf (True Dimensions) 945 lb Allowed > Actual -- 30.1% Stressed -- Therefore, OK 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 -- 97.6% Stressed -- Therefore, OK Member Properties Member Size 2x4 S (in^3) 3.06 0.117 in Check Bending Stress Continuous Span 0.152 in :DONHU5HVLGHQFH5H[EXUJ,' BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB B ŽŵƵƐ^ƚƌƵĐƚƵƌĂů ŶŐŝŶĞĞƌŝŶŐ͕>> W͘K͘Ždžϲϵϴϲ ƌŽŽŵĨŝĞůĚ͕KϴϬϬϮϭ ϱϯϬͲϴϲϰͲϳϬϱϱ ŽŵƵƐƐƚƌƵĐƚƵƌĂůΛŐŵĂŝů͘ĐŽŵ Level Area Weight (psf) Weight (lb) Roof 1700 sf 7.5 psf 12747 lb Ceiling 1700 sf 6.0 psf 10200 lb Wood Siding 100 ft 5.0 psf 2000 lb (8'-0" Wall Height) Int. Walls 100 ft 6.4 psf 2560 lb 27507 lb 3.0 psf 193 sf 579 lb 2751 lb 579 lb 2.1% /DWHUDO&KHFN 2751 lb > 579 lb, Therefore OK 3HU,%&&KDSWHU Existing Weight of Effected Building Existing Weight of Effected Building Proposed Weight of PV System Weight of PV System (Per Blue Raven Solar) Approx. Area of Proposed PV System Approximate Total Weight of PV System 10% Comparison 10% of Existing Building Weight (Allowed) Approximate Weight of PV System (Actual) Percent Increase :DONHU5HVLGHQFH5H[EXUJ,'