Design of Cylindrical Vessels with Formed Closures Operating under External Pressure

DESIGN OF CYLINDRICAL VESSELS WITH FORMED CLOSURES OPERATING UNDER EXTERNAL PRESSURE 

1 ELASTIC STABILITY OF LONG, THIN CYUNDBIS UNDER EXTERNAL PRESSURE 

A cylindrical shell under external pres.sure li mls l deform inw ard as a result of the external radial pressure. The relationship between the radius of curvature, the pi d-uct El, and the bending moment producing curvature is given by Eq. 2.9. 

Consider a cylindrical shell having an original radius of curvature of ro under no load. A local section of this shell under external radial pressure will have a new radius i f curvature of r. The relationship between the bending moment, the two radii, and the product BI is given by  

If I he small angle dw/dS is disregarded, for small-angle f n l hills where the tangent of the. angle equals the angle e.xpressed in radians, 

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Design of Cylindrical Vessels with Formed Closures Operating under External Pressure... 

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