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Aryam Design & Build <br />Project <br />1513 McFadden <br />Job Ref. <br />25073 <br />Section <br />HVAC beam <br />Sheet no./rev. <br /> 3 <br />Calc. by Date Chk'd by Date App'd by Date <br />Section modulus;Sx = N  b  d2 / 6 = 30.66 in3 <br />Sy = d  (N  b)2 / 6 = 14.80 in3 <br />Second moment of area;Ix = N  b  d3 / 12 = 111.15 in4 <br />Iy = d  (N  b)3 / 12 = 25.90 in4 <br />Adjustment factors <br />Load duration factor - Table 2.3.2;CD = 1.00 <br />Temperature factor - Table 2.3.3;Ct = 1.00 <br />Size factor for bending - Table 4A;CFb = 1.30 <br />Size factor for tension - Table 4A;CFt = 1.20 <br />Size factor for compression - Table 4A;CFc = 1.05 <br />Flat use factor - Table 4A;Cfu = 1.05 <br />Incising factor for modulus of elasticity - Table 4.3.8 <br />CiE = 1.00 <br />Incising factor for bending, shear, tension & compression - Table 4.3.8 <br />Ci = 1.00 <br />Incising factor for perpendicular compression - Table 4.3.8 <br />Cic_perp = 1.00 <br />Repetitive member factor - cl.4.3.9;Cr = 1.00 <br />Bearing area factor - cl.3.10.4;Cb = 1.00 <br />Depth-to-breadth ratio;dnom / (N  bnom) = 2.00 <br /> - Beam is fully restrained <br />Beam stability factor - cl.3.3.3;CL = 1.00 <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) = 27 lb/in2 <br />fc_perp / Fc_perp' = 0.044 <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 = 1170 lb/in2 <br />Actual bending stress;fb = M / Sx = 261 lb/in2 <br />fb / Fb' = 0.223 <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 = 180 lb/in2 <br />Actual shear stress - eq.3.4-2;fv = 3  F / (2  A) = 20 lb/in2 <br />fv / Fv' = 0.110 <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 = 0.003  Ls1 = 0.288 in <br />Total deflection;b_s1 = 0.066 in <br />b_s1 / adm = 0.230 <br />PASS - Total deflection is less than design deflection