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___________________________________________________________________________________________ <br />28202 Cabot Road, Suite 300 <br />Laguna Niguel, CA 92677 <br />949-371-5238 <br />info@LagunaEngineers.com <br />(Roof 1,2&3) PASS <br />Dead Load 9.6psf <br />PV Load 3.2psf <br />Live Load 20.0 psf <br />Governing Load Combo = DL <br />Total Load 12.8psf <br />Fb (psi) = f'b x Cd x Cf x Cr (NDS Table 4.3.1) <br />900 x 0.9 x 1.5 x 1.15 <br />Allowed Bending Stress = 1397.2 psi <br />(wL^2) / 8 <br />= 319.2533 ft# <br />= 3831.04 in# <br />Actual Bending Stress = (Maximum Moment) / S <br />= 1251 psi <br />L/180 (E = 1600000 psi Per NDS) <br />= 0.666 in <br />Deflection Criteria Based on = <br />(w*L^4) / (185*E*I) <br />= <br />= L/431 > L/180 Therefore OK <br />Allowed Deflection (Live Load) =L/240 <br />0.5 in <br />(w*L^4) / (185*E*I) <br />#DIV/0! > L/240 Therefore OK <br />Member Area = Fv (psi) = 180 psi (NDS Table 4A) <br />Allowed Shear = Fv * A = Max Shear (V) = w * L / 2 = 128 lb <br />Check Bending Stress <br />(True Dimensions) <br />Continuous Span <br />0.279 in <br />0.000 in <br />Member Properties <br />Member Size <br />2x4 <br />S (in^3) <br />3.06 DF#2 <br />Member Spacing <br />@ 24"o.c. <br />Maximum Moment = <br />Check Deflection <br />I (in^4) <br />5.36 <br />Lumber Sp/Gr <br />Actual Deflection (Live Load) = <br />Allowed Deflection (Total Load) = <br />Actual Deflection (Total Load) = <br />Allowed > Actual -- 89.6% Stressed -- Therefore, OK <br />945 lb <br />Allowed > Actual -- 13.6% Stressed -- Therefore, OK <br />5.3 in^2 <br />Check Shear <br />w = 26 plf <br />2x4 Rafters @ 24"o.c. <br />Member Span = 10' - 0" <br />Framing Check <br />Hoffmann Residence Santa Ana CA SE Calcs.xlsm 4 <br />2045 W Martha Ln <br />12/13/21