The Elements of Graphical Statics and Their Application to Framed Structures: With Numerous Practical Examples of Cranes--Bridge, Roof and Suspension Trusses--Braced and Stone Arches--Pivot and Draw Spans--Continuous Girders, &C., Together with the Best M
The Elements of Graphical Statics and Their Application to Framed Structures: With Numerous Practical Examples of Cranes--Bridge, Roof and Suspension Trusses--Braced and Stone Arches--Pivot and Draw Spans--Continuous Girders, &C., Together with the Best M
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1877 Excerpt: ...cut off at the supports only by those lines which pertain to the "standard" span, or that span from which we take our reduction basis and pole distance. For lines in the other spans the above does not hold good without modification. It is, however, always possible, at least for from two to five symmetrical spans, to ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1877 Excerpt: ...cut off at the supports only by those lines which pertain to the "standard" span, or that span from which we take our reduction basis and pole distance. For lines in the other spans the above does not hold good without modification. It is, however, always possible, at least for from two to five symmetrical spans, to observe the above conditions. In those cases where this is not possible, an easy graphical multiplication of the segments by the square of the ratio of the spans will give the moments. We see also the reason why, for four symmetrical spans, the second and not the first must be taken as the standard span. If the construction of the moments over the supports is our sole purpose, as is in practice the case, the polygon need not be drawn. We have only to find our fixed points, and note the intersection of the sides with the verticals through the supports, without drawing the sides themselves. In the preceding Artswe have purposely considered only the particular case of uniform loading, and have taken only three spans, in order to familiarize the reader with the nature of the problem and the method of its solution. In order to attain a clear understanding of the subject as thus far developed, he would do well to take some particular case, as, for instance, that of a girder of two or three or four spans of given length, the end spans being equal, and intermediate spans equal and say one-fourth longer than the ends, and work out by diagram the moments at the supports for a uniform load over the whole length of girder. For two spans the moment at the centre support should be gpP, I being the length of span, p the load per unit of length. For three spans the moment at the two inner supports is 1 + - 4 (3 + 2 n) P, wnore n = length of end spa...
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All Editions of The Elements of Graphical Statics and Their Application to Framed Structures: With Numerous Practical Examples of Cranes--Bridge, Roof and Suspension Trusses--Braced and Stone Arches--Pivot and Draw Spans--Continuous Girders, &C., Together with the Best M
