The cylindrical tank is fabricated by welding a strip of thin plate helically, making an angle \(\theta\) with the longitudinal axis of the tank. If the strip has a width \(w\) and thickness \(t\), and the gas within the tank of diameter \(d\) is subjected to a pressure \(p\), show that the normal stress developed along the strip is given by \(\sigma_{\theta}=(p d / 8 t)(3-\cos 2 \theta)\).

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10 kip 2 kip/ft ||-211-211- -6 ft-