The beam-column in the figure is a member of a braced frame. Use LRFD and determine whether this member satisfies the appropriate AISC interaction equation. Endpoints are pin connections in both x and y directions and the member is laterally supported at both ends. The load and moments are computed from service loads and bending is about the x axis. Use Lp = 7.9 ft, Lr 35 ft, Cb = 1.67. The steel is A572 Grade 60, Fy = 60 ksi , Fu = 75 ksi, E = 29000 ksi. W16x67
The beam-column in the figure is a member of a braced frame. Use LRFD and determine whether this member satisfies the appropriate AISC interaction equation. Endpoints are pin connections in both x and y directions and the member is laterally supported at both ends. The load and moments are computed from service loads and bending is about the x axis. Use Lp = 7.9 ft, Lr 35 ft, Cb = 1.67. The steel is A572 Grade 60, Fy = 60 ksi , Fu = 75 ksi, E = 29000 ksi.
W16x67
A = 19.6 in3, d = 16.3 in, tf = 0.665 in, tw = 0.395 in, bf = 10.2 in, Ix = 954 in4, rx = 6.96 in, Sx = 117 in3, Zx = 130 in3, Iy = 119 in4, ry = 2.46 in, Sy = 23.2 in3, Zy = 35.5 in3, J = 2.39 in4, Cw = 7300 in6, bf/2tf = 7.70, h/tw = 35.9
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How did 0.07534 and 21.78 satisfy some kind of equation? Wasn't the equation Pd/phiPn + Md/phiMn = Ag/phi? Then in that case the equation is not satisfied or am I missing something? And how did we choose that specific equation; because it was a beam-column?