On Some Common Errors in Iron Bridge Design

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The writer has, after much consideration, arrived at a method, which he submits as giving, without inordinate labour, a fair approxima- tion to the secondary stress in, at any rate, the simpler types of structure. It consists of the following operations : (a) From the primary stress and sectional area, of each bar, and its known modulus of elasticity, its change in length is computed. This will be an elongation or shortening, according as the primary stress is tensile or compressive.
(b) This c
...hange in length is exaggerated a convenient number of times. The writer increases it one hundred fold.
(c) The frame is then re-plotted with the altered lengths of the bars. One result of this is that the panel points of the top and bottom chords, instead of lying in straight lines, will lie in curves, which in most cases are approximately circular, but in others that have been tried, have a cusp at the centre, like a Gothic arch inverted. The cusp indicates a point of intense secondary stress.
(d) A smooth and regular curve (usually circular) is drawn through all these panel points, and at each panel point a tangent to this curve is drawn.


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