The steel tube having the cross section shown is used as a

Chapter 10, Problem 10.88

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The steel tube having the cross section shown is used as a column of 15-ft effective length to carry a centric dead load of 51 kips and a centric live load of 58 kips. Knowing that the tubes available for use are made with wall thicknesses in increments of 116 in. from 316 in. to 38 in., use load and resistance factor design to determine the lightest tube that can be used. Use \(\sigma_{Y}=36 \mathrm{ksi}\) and \(E=29 \times 10^{6} \mathrm{psi}\). The dead load factor \(\gamma_{D}=1.2\), the live load factor \(\gamma_{L}=1.6\), and the resistance factor \(\phi=0.90\).

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