Principles of Economy in the Design of Metallic Bridges;

Bender, Charles B

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23.] WHOLE CANTILEVER-BRIDGE. gj If K were 3i tons, of which 2 tons are supposed to be movable load, The weight of a 1700-foot span between the piers would be 10,591 tons.
To which add for floors and wind-bracing 2,550 " And the anchorage 4»730 " Total span for two tracks i/iS/i tons.
The results of the above two tables of numerical calcula- tions are represented in Figs. 29 and 30 of Plate II.
The calculation has shown that the best result is obtained if the middle span is nearly as long as th...e two cantilevers together, which result would agree with the common theory of the beam rigidly fixed at its ends.
If the average moment of a beam fixed at its ends shall be- come a minimum, supposing the cantilever-length to be x and the middle span to be 2{a — x), we have for the average moment of the middle span, for the average moment of a cantilever as arising from the central span, l{a^x)x) Sl = p{a^xy; for the average moment of a cantilever as arising from its own load, l^. SI - l^.
6 ' 3 ' Digitized by VjOOQ IC 98 WHOLE CANTILEVER-BRIDGE, [Sec.

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