[M2.18backL] [M2.18back] 18 [diagrams] increased when they become large; The reader will at once understand this differentiation of strength in the masses, by considering that a small stone may project from over a wall as ata1 opposite, without smallest chance of the portions a a breaking off. but a great rock cannot overhang in the same proportion, as at 2,without considerable danger of portions of the overhanging mass giving way: much more if superincumbent weight be added; whose pressure shall be confined to the overhanging portion; Nownot only doesthis principle applies directly to the capitals of shafts, even when they are considered as crowning masses without any superimposed weight, so that for instance the capital b of the shaft 3, might with perfect safety project ½ a foot if the shaft were only a foot in diameter and five feet high but might not with safety project six feet from a shaft 12 feet in diameter and sixty feet high; But the diminution of security is,in [?]still greater, when the increase of superincum -bent weight is considered, and not only its increase; but its less perfect diffusion; for when the capital is small, in all probability the weights will be laid on it as at c or c2 and the lines of pressure thrown through it to the shaft, but if the capital be very large the weight will in all probability be thrown on it as at d, or d2, and some of the lines of resistance
[Version 0.05: May 2008]