On Some Common Errors in Iron Bridge Design
Forfatter: W. C. Kernot
År: 1898
Forlag: FORD & SON
Sted: Melbourne
Sider: 49
UDK: 624.6
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9
it will be seen, that there is an enormous advantage in supporting
both main and cross girders at their efficient points, or as near
to those points as is possible, and this is true in all cases but
most especially so when the dead load is large.
Should it be obligatory to support the bfyuA at ope extremity,
the position of the other support being^ütM^d, the efficient
point is found to be -29 of the length from the other encl, and
the maximum bending moment is almost exactly one-third of
what it would be were both supports terminal, the load being
uniformly distributed.
Should it be inconvenient to adopt so large an overhang as
above mentioned, considerable advantage may still be obtained
with a very moderate amount. For example, a uniform beam
uniformly loaded and supported at points one-eight of its
length from the ends endures a maximum bending moment of
only one-half of what it would if supported at the extremi-
ties.
As an instance in which an overhanging end might have been
advantageously applied certain bridges on the Melbourne and
Coburg Railway may be cited. Here, as shown in Fig. 4, the
terminal support of the girder is a brick pier imbedded in the
embankment, and the girder seat is surrounded with earth in
an undesirable way. By moving the pier to the position shown
in Fig. 5, the bending moment would be reduced, and the
girder seat rendered accessible.
A case of unfavourably arranged support is illustrated in Fig.
6, which represents two bridges each crossing six lines of railway
in Ya era Park, Melbourne. The girders' are of the lattice type,
supported at the ends by a double system of standards or legs.
Calculation, shows that the compressions on the diagonals AB
and CD are equal. But the tension on AC is equal to the
compression on AB as their horizontal resolved parts balance at
A. Hence the vertical resolved part of AC balances that of CD
at C, and the leg CE carries no weight whatever, except the
actual small floor load at C.
Now, had the bridge been arranged as at Fig. 7, the main
girder would have been shortened by ten per cent., the stresses
throughout the remainder would have been reduced considerably,
the leg FG would have been saved , and the whole structure