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Aryam Design & Build <br />Project <br />1513 McFadden <br />Job Ref. <br />25073 <br />Section <br />(E) 6x12 for HVAC Loads <br />Sheet no./rev. <br /> 4 <br />Calc. by Date Chk'd by Date App'd by Date <br />Bearing perpendicular to grain - cl.3.10.2 <br />Design compression perpendicular to grain;Fc_perp' = Fc_perp  Ct  Cic_perp  Cb = 625 lb/in2 <br />Applied compression stress perpendicular to grain;fc_perp = RA_max / (N  b  Lb) = 133 lb/in2 <br />fc_perp / Fc_perp' = 0.212 <br />PASS - Design compressive stress exceeds applied compressive stress at bearing <br />Strength in bending - cl.3.3.1 <br />Design bending stress;Fb' = Fb  CD  Ct  CL  CFb  Ci  Cr = 2160 lb/in2 <br />Actual bending stress;fb = M / Sx = 1264 lb/in2 <br />fb / Fb' = 0.585 <br />PASS - Design bending stress exceeds actual bending stress <br />Strength in shear parallel to grain - cl.3.4.1 <br />Design shear stress;Fv' = Fv  CD  Ct  Ci = 272 lb/in2 <br />Actual shear stress - eq.3.4-2;fv = 3  F / (2  A) = 61 lb/in2 <br />fv / Fv' = 0.223 <br />PASS - Design shear stress exceeds actual shear stress <br />Deflection - cl.3.5.1 <br />Modulus of elasticity for deflection;E' = E  CME  Ct  CiE = 1600000 lb/in2 <br />Design deflection;adm = 0.004  Ls1 = 0.960 in <br />Total deflection;b_s1 = 0.945 in <br />b_s1 / adm = 0.984 <br />PASS - Total deflection is less than design deflection