 | Julius Ludwig Weisbach - 1847 - 664 pàgines
...^r\ then for a cylindrical column we have P = 16' The strength of a cylinder increases, therefore, as the fourth power of the diameter, and inversely as the square of tlte length. For a hollow column with the radii rlt and r2 3 /„ * 4 p TORSION. place in the middle.... | |
 | Smithsonian Institution. Board of Regents - 1869 - 488 pàgines
...of fracture. It follows, from Eulcr's theory, that the strength of pillars to bear incipient flexure is directly as the fourth power of the diameter, and...sought for by Mr. Hodgkinson without success, and ho states his conviction that flexure commences with very small weights, such as could be of little... | |
 | Thomas Tredgold - 1871 - 640 pàgines
...5 diameters, which yield wholly by crushing. Euler's theory assumes the resistance to flexure to be directly as the fourth power of the diameter, and inversely as the square of the length. It is to be remarked that so high a power as 4 for the diameter or 2 for the length has not been obtained... | |
 | 1872 - 236 pàgines
...carry twenty tons, double that area will carry forty tons. The old rules gave the strength of columns as the fourth power of the diameter, and inversely as the square of the length. Hodgkinson used a fractional index 3'6 instead of 4, so that if you could not find the size wanted... | |
 | Sir John Anderson - 1872 - 330 pàgines
...this assumption, he found that the resistance of long cylindrical columns would be proportional to the fourth power of the diameter and inversely as the square of the length. Hodgkinson found, however, by his experiments, that the ultimate resistance was proportional to -a... | |
 | Thomas Box - 1877 - 182 pàgines
...varies as the cube of the diameter and is independent of the length ; but the torsional stiffness varies directly as the fourth power of the diameter and inversely as the length, or d4 -:- L. (75.) " Torsional Strength." — Considering first, the question of the strength... | |
 | Thomas Box - 1877 - 178 pàgines
...varies as the cube of the diameter and is independent of the length ; but the torsional stiffness varies directly as the fourth power of the diameter and inversely as the length, or d4 -f- L. (75.) " Torsional Strength." — Considering first, the question of the strength... | |
 | Daniel Kinnear Clark - 1878 - 1022 pàgines
...material. He shows that the strength of very long square or round pillars varies directly as the 4th power of the diameter, and inversely as the square of the length; that it depends not on the direct strength of the material, but on the coefficient of elasticity, which... | |
 | Edward Wyndham Tarn - 1882 - 290 pàgines
...long pillars in which the diameter is small as compared with the length, was proportional directly to the fourth power of the diameter, and inversely as the square of the length. In the case of pillars of wood the experiments of Hodgkinson confirmed the rule obtained by Euler,... | |
 | Thomas Tredgold - 1885 - 412 pàgines
...pillars having the length more than twenty-five times the diameter, and which only break by flexure, is directly as the fourth power of the diameter, and inversely as the square of the length ; or W = a x -j a where W is the d l breaking weight in pounds, d the diameter in inches, I the length... | |
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Euler1s theory, that the strength of pillars to bear incipient fleocure is directly as the fourth power of the diameter, and inversely as the square of the length. 
