Answer Happy

Determine:
a) the moment of inertia with respect to
the y and the z axes through
the centroid of the cross section area.( Iy and Iz)
b)the critical buckling load for buckling about
the z axis. (Pcr,z)
c)the allowable compressive load for buckling about
the z axis. (Pallow,z)
d) the critical buckling load for buckling about
the y axis.(Pcr,y)
e)the allowable compressive load for buckling about
the y axis.(Pallow,y)
f)Select the correct allowable load for the column.(Pallow)
Along, slender structural aluminum [E = 70 GPa) flanged shape is used as a L = 8.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that bị= 106 mm, d = 130 mm, t = 7 mm, and tw = 5 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.3 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., they axis) of the aluminum column. P bs с B Lateral bracing To Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area.