Question 3 An aluminium hollow box column of square cross section is fixed at the base and free at the top. The width of each side is b = 150 mm and the thickness t = 10 mm. A compressive load P = 160 kN acts on the outer edge of the column at the midpoint of the side. What is the longest permissible length L of the column if the stress is not to exceed 100 MPa? (E = 70 GPa).
Added by Eric T.
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First, we need to find the moment of inertia (I) of the hollow square cross-section. The moment of inertia for a square cross-section is given by the formula: I = (b^4 - (b-2t)^4) / 12 where b is the width of each side and t is the thickness of the column. Show more…
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