A W6 X 116 section is to serve as a purlin between roof trusses which is 7.2 meters on center. The roof is assumed to support a dead load of 960 N/m^2 including its own weight and a live load of 894.154 N/m^2. The slope roof truss is 1 vertical to 2 horizontal and the purlins are to be spaced at 1.8m on centers. Using A36steel with Fy=248 MPa. Assume all loads will act at the center of gravity of the section. Sag rods are to be placed at the middle thirds between trusses. Properties of W 6 x 116 A=3058 mm2 d = 159.51 mm bf = 102.36 mm tf = 10.29 mm tw = 6.60 mm Sx = 167 x 10^3 mm3 Sy = 36 x 10^3 mm3 Using DL+LL only a. Determine the bending stress along the Normal axis bending in MPa b. Determine the bending stress along the Tangential axis bending in MPa c. Determine the DCR if the capacity Fbx = 0.66Fy and Fby = 0.75Fy
A W6 X 116 section is to serve as a purlin between roof trusses which is 7.2 meters on center. The roof is assumed to support a dead load of 960 N/m^2 including its own weight and a live load of 894.154 N/m^2. The slope roof truss is 1 vertical to 2 horizontal and the purlins are to be spaced at 1.8m on centers. Using A36steel with Fy=248 MPa. Assume all loads will act at the center of gravity of the section. Sag rods are to be placed at the middle thirds between trusses.
Properties of W 6 x 116
A=3058 mm2
d = 159.51 mm
bf = 102.36 mm
tf = 10.29 mm
tw = 6.60 mm
Sx = 167 x 10^3 mm3
Sy = 36 x 10^3 mm3
Using DL+LL only
a. Determine the bending stress along the Normal axis bending in MPa
b. Determine the bending stress along the Tangential axis bending in MPa
c. Determine the DCR if the capacity Fbx = 0.66Fy and Fby = 0.75Fy
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