By Barlow, Peter William; Barlow, Peter; Barlow, W. H.; Humber, William
This entire paintings from the nineteenth century covers the energy of fabrics with reference to building of constructions, bridges and railways, and so forth. and contains an appendix at the strength of locomotive engines and the impression of vulnerable planes and gradients.
summary: This accomplished paintings from the nineteenth century covers the energy of fabrics with reference to building of structures, bridges and railways, and so on. and contains an appendix at the energy of locomotive engines and the impact of vulnerable planes and gradients
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Extra info for A treatise on the strength of materials : with rules for application in architecture, the construction of suspension bridges, railways, etc., and an appendix
That is, in rectangular beams the resistance is equal to the product of one-third of the whole depth into the depth of tension, and into the force of tension on the extreme fibre. If, therefore, we knew in all cases the depth of tension, or the relative depth of tension and compression, and the force of direct cohesion, we might compute the transverse strength of rectangular beams, independently of any other data ; but these being both very precarious, the best method of determining the strength of beams of wood is by comparative experiments on other beams; for, since the resistance is expressed by J d d't, and d' is alw ays proportional to d in the same material, it follows that the whole resistance is as the square of the depth, as is stated Art.
When the beam is triangular, cylindrical, or has any other than a rect angular section, the several small weights must be made propor tional to the breadth of the section at the point where each is supposed to act : the illustration, however, is equally obvious. Since, then, the whole resistance to fracture is made up of the sum of the resistance of every particle or fibre, acting at different distances on the lever C A, which is supposed to turn upon C as a fulcrum, there must necessarily be some point in that lever, in which, if all the several forces were united, their resistance to the weight W would be exactly the same as in the actual operation ; and this point is the centre of gravity of the section represented fcyAC.
Of the Deflection as depending on the Breadth and Depth. 63. In the preceding investigations we have supposed the beams, although of different lengths, to be all of the same breadth and depth; or, as opposing equal resistance : when these dimensions are not the same, the resistance is as the breadth and square of the depth, Art. 43 ; and, therefore, when the weight is increased in that proportion, the quantity of extension will, by hypothesis, be the same, the length being here supposed constant; but, by a reference to fig.
A treatise on the strength of materials : with rules for application in architecture, the construction of suspension bridges, railways, etc., and an appendix by Barlow, Peter William; Barlow, Peter; Barlow, W. H.; Humber, William