Memoranda on the Strength of Materials Used in Engineering Construction

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J[oseph] K Whildin
D. Van Nostrand, 1867 - 62 стор.
 

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Сторінка 17 - ... our present object to investigate. In the first place, it is obvious that whatever extension the cylinder or ring may undergo, there will be still in it the same quantity of metal, or, which is the same, the area of the circular ring, formed by a section through it, will remain the same, which area is proportional to the difference of the squares of the two diameters. Let D be the interior diameter before the pressure is exerted, and D + d its diameter when extended by the pressure. Let also...
Сторінка 24 - ... 3d. A long, uniform, cast-iron pillar, with its ends firmly fixed, whether by means of discs or otherwise, has the same power to resist breaking as a pillar of the same diameter, and half the length, with the ends rounded or turned so that the force would pass through the axis.
Сторінка 24 - The strength of a pillar, with one end rounded and the other flat, is the arithmetical mean between that of a pillar of the same dimensions with both ends round, and one with both ends flat. Thus, of three cylindrical pillars, all of the same length and diameter, the first having both its ends rounded, the second with one end rounded and one flat, and the third with both ends flat, the strengths are as 1, 2, 3, nearly.
Сторінка 19 - It will thus be seen that the quality of the iron regularly increased up to No. 6 (the slight difference of No. 5 may perhaps be attributed to the sample being slightly defective) ; and that from No. 6 the descent was in a similar ratio to the previous increase.
Сторінка 17 - That is, the resistance offered by each successive lamina, is inversely as the square of the diameter, or inversely as the square of its distance from the centre ; by means of which law the actual resistance due to any thickness is readily ascertained. Let r be the interior radius of any cylinder...

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