Question

8. (10 points) The pressure vessel shown is constructed by welding segments end to end. The tank has dimensions radius 500 mm, and length L = 5 m, and is closed with hemi-spherical endcaps. The tank walls have thickness 4 mm, Young's modulus E = 200 GPa, and shear modulus G = 75 GPa. The tank holds gas at pressure p = 2.00 kPa. Welded seams Determine the normal stress acting on the welded seams indicated. (a) o = 125 kPa (b) o = 159 kPa (c) o = 250 kPa (d) o = 255 kPa (e) o = 1020 kPa (f) There is not enough information given to solve the problem. (g) None of the above.

Answer 1

Normal stress acting on the welded seam is the longitudinal stress acting which can be calculated as follows.

Since the pressure vessel is constructed by Welding segments end to end, the normal stress acting on the welded seam is the longitudinal stress Bursting force because of pressure = Px Ind? -0. Resisting force offered by the material = 5 Tdt . where, pa) Pressure inside pressure vessel 2 Drameter of pressure vessel of Longitudinal stress acting on welded seam . t lank wall thickness Equating & & & we get P. I d o not Pd - 2x 10 x 1000x103 4* 4*10-3 = 125 x 10 Pa = 125 kPa so option. (a) is the correct answer