A concept for a lightweight display stand. The stalk must support a mass (m) of (100 mathrm{~kg}),

Question:

A concept for a lightweight display stand. The stalk must support a mass \(m\) of \(100 \mathrm{~kg}\), to be placed on its upper surface at a height \(h\), without failing by elastic buckling. It is to be made of stock tubing and must be as light as possible. Use the methods of this chapter to derive a material index for the tubular material of the stalk of the stand that includes the shape of the section, described by the shape factor

\[\phi_{B}^{e}=\frac{12 I}{A^{2}}\]

where \(I\) is the second moment of area and \(A\) is the section area of the stalk. The table summarizes the requirements.

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