Chapter 8 Applications of Plane Stress (Pressure vessels, Beams ...

d. T allow = T failure / n = 1.5/2.5 = 0.6 MN/m = 600 N/m allow = T allow / t = 600 / 7 = 85.7 MPa2 t allow 2 x 7 x 85.7p d = CCCC = CCCCC = 5.3 MPar 225e. p allow = min[p a , p b , p c and p d ] = 4.9 MPafor this p allow , the tensile stresses in the shell arep r 4.9 x 225 = CC = CCCC = 78.8 MPa2 t 2 x 78.3 Cylindrical Pressure Vesselsconsider a thin-walled circular tankAB subjected to internal pressure 1 : circumferential stress or hoop stress 2 : longitudinal stress or axial stressfrom the free body mpqn, we havethe equation of equilibrium asthen 1 (2 b t) - 2 p b r = 0p r 1 = CCtand the equation of equilibrium in longitudinal directionthen 2 ( 2 r t) - p r 2 = 0p r 2 = CC2 tnow, we have 1 = 2 24