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Q3 (30) A cylindrical pressure vessel is constructed from a long, narrow steel plate by wrapping the plate around a mandrel and then welding along the edges of the plate to make a helical joint α 55° with the longitudinal axis. The vessel has inner radius r-1.8 m and wall thickness t 20 mm. The material is steel with modulus E: 200 GPa and Poissons ratio0.30. The internal pressure p is 800 kPa Helical weld . The helical weld makes an angle Calculate the following quantities for the cylindrical part of the vessel (a) the circumferential and longitudinal stresses ơi and (T2, respectively; (b) the maximum in-plane and out-of-plane shear stresses; (c) the circumferential and longitudinal strains 1 and 2, respectively; and (d) the normal stress w and shear stress Tw acting perpendicular and parallel, respectively, to the welded seam

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