19_Pressure_Vessels

# 19_Pressure_Vessels - EM 324 Mechanics of Materials Thin-Walled Pressure Vessels Cylindrical pressure vessel 2002-2003 L.D Sturges Spherical

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1 © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Thin-Walled Pressure Vessels Cylindrical pressure vessel Spherical pressure vessel © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Thin-Walled Pressure Vessels Assume : Thin-walled pressure vessels. t < 0.1 r •S t r e s s is approximately constant across the thickness of the wall. Assume : Weight of vessel and contents is negligible (compared to stresses). t r e s s is approximately constant around the tank and from end to end. © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Cylindrical Pressure Vessel xy σ x = a axial stress or meridional stress However, y = h hoop stress τ xy = 0 nx 0 nt

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2 © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Cylindrical Vessels (cont) Cut tank on “meridional” plane (without letting the gas pressure escape!) ( ) ( ) 2 20 a rt p r σ ππ −= 0: x F →= 2 a pr t = © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Cylindrical Vessels (cont) Cut segment from side of tank on “meridional” and “axial” planes (without letting the gas pressure escape!) x F ()() 22 0 h Lt p rL h pr t = In a cylindrical tank, the hoop stress is equal to twice the axial stress. © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Spherical Pressure Vessel x = y = n meridional stress τ xy = nt = 0 Because of symmetry of loading and geometry, the normal stress is the same in every direction.
3 © 2002-2003, L.D. Sturges EM 324 Mechanics of Materials Spherical Vessels (cont) Cut tank in half (without letting the gas pressure escape!) ( ) ( ) 2 20 a rt p r σ ππ −= 0: x F →= 2 a pr t = The stress in a spherical pressure tank is the same as the axial stress in a cylindrical tank.

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## This note was uploaded on 03/27/2008 for the course EM 324 taught by Professor Boylan during the Spring '08 term at Iowa State.

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19_Pressure_Vessels - EM 324 Mechanics of Materials Thin-Walled Pressure Vessels Cylindrical pressure vessel 2002-2003 L.D Sturges Spherical

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