Boston Paper - An Illustration of the Lines of Weakness in Cylinder

It has long been known to boiler makers and to the users of cylindrical pipes of many kinds that when a tube is exposed to internal fluid pressure the resolution of forces is such that the material of the walls of the tube is exposed to twice the stress in the direction tending to produce longitudinal rupture, as it is in the direction to produce circumferential fracture. By longitudinal fracture is meant the fracture by a rent parallel to the axis; by circumferential fracture is meant fracture by rents running round the cylinder. In consequence of this the makers of boilers always lay the fibre of their metal in direction round the boiler, and the same is true with the makers of gun-barrels. I have never seen any good and simple illustration of this law until I met with it in blowing glass. If a thin bubble of glass be blown out in a spherical form and then exploded it will be found that the particles tumble into totally irregular shapes, showing no special direction in the molecular structure of the material. If now a bubble of glass be blown out and so manipulated that it will take a cylindrical form (see accompanying illustration), and then be exploded, it will drop into ribbon-shaped pieces from end to end, and the only parts that will be found to differ from this form will be the two hemispherical ends which will remain whole, having a fringe of ribbons representing the line of their fracture from the cylinder. The main point of difference between this experiment and the