A wood pipe having an inner diameter of \(3 \mathrm{ft}\) is bound together using steel hoops each having a cross-sectional area of \(0.2 \mathrm{in}^{2}\). If the allowable stress for the hoops is \(\sigma_{\text {allow }}=12 \mathrm{ksi}\), determine their maximum spacing \(s\) along the section of pipe so that the pipe can resist an internal gauge pressure of 4 psi. Assume each hoop supports the pressure loading acting along the length \(s\) of the pipe.

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4 psi S 4 psi