Problem 12.6Given: Three pinned-end columns each have a cross-sectional area of 2000 mm2and length of 750 mm.They are made of 7075-T5 aluminum alloy (E=72 GPa and σPL= 448 MPa). One of the columns has asolid square cross section. A second column has a solid circular cross section. The third has a hollowcircular cross section with an insdie diameter of 30 mm. Determine the critical buckling load for each ofthe columns.Solution:E72 GPa⋅:=L750 mm⋅:=A2000 mm2⋅:=σPL448 MPa⋅:=Square Cross Sectionb b bA:=b44.721 mm⋅=I112b4⋅:=I3.333105×mm4⋅=Pcrπ2E⋅I⋅L2421.103 kN⋅=:=Solid Circular Cross Section
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