Problem_12_25 - Problem 12.25 Given Assume that the...

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Problem 12.25 Given: Assume that the dimensions of the angle section of the pinned-end column shown are t = 0.635 mm, b = 12.0 mm, and L = 559 mm. Find: Show by Figure 12.11 that the column fails as a unit by elastic buckling (not local buckling). Calculate the average stress in the column at the buckling load and compare it to the stress obtained experimentally. Solution: x y b b t t 0.635 mm := b1 2 m m := L 559 mm := Area of section: Ab t () t bt + 14.837 mm 2 = := Centroid location relative to lower left and corner is: x c 1 A t t 2 b 2 + 3.236 mm = := y c x c := I y t 3 12 t x c t 2 2 + tb 3 12 + b 2 x c 2 + 211.367 mm 4 = := I x I y := I xy t t 2 x c
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