First. About 29 per cent of the total weight of the trusses and laterals
of this anchor arm is included in its outer half, and the average weight per
foot of this portion is about 71 per cent of that for the entire structure.
Applying this to the already computed weights of a double-track-railway
cantilever-bridge having a 1,500-foot opening, and using the unit costs of
materials in place as stated, makes the average value per linear foot of the
outer half of the anchor arm $640. The weight of metal per lineal foot for
a double-track steel-trestle one hundred and forty feet high is 4,200 pounds
and its value is $210, to which should be added not to exceed $5 per lineal
foot for the cheap concrete pedestals required to raise the column feet a
short distance above the rock foundation. This shows that the trestle
costs only one-third as much as does the outer half of the anchor arm.
Second. While it is conceded that the remaining portion of the anchor
arm may weigh somewhat less per foot than it would as an independent
arm, the difference will be small for the following reasons:
(a) As the moment over the pier is the same for all lengths of the
anchor arm (because it comes entirely from the loadings on the cantilever
arm and the suspended span), the weights of metal in the truss members
lying near the pier will not differ greatly in the two cases.
(b) While the negative stresses due to the uplift will be increased by
the halving of the resisting lever arm, on the other hand the direct live load
stresses will be greatly diminished because of the halving of the span length,
these two effects tending to offset each other.
(c) With the short anchor arm, the stresses in the outer diagonals (as
well as in all the other main diagonals) and in the top chord members will
always be tensile, hence eye-bars can be used for these members, thus
effecting a great saving; because, owing to the increase in sectional area (to
allow for rivet holes) and to the weight of the details, it takes nearly fifty
per cent more metal to build a riveted tension member than is required for
the corresponding eye-bars and their pins.
(d) While it is true that the short arm produces a greater uplift and,
consequently, necessitates a heavier anchorage, it must be remembered
that the value of an economically-designed anchor-pier is very small in
comparison with the cost of the rest of the structure. Again, it must not
be forgotten that with the long arm there is positive as well as negative
loading on the anchor pier, and that, in consequence, it is possible that
there would be no difference worth mentioning in the costs of the two anchor
piers.
It seems to the author that, in view of the preceding, it ought to be
evident without further calculation that a length for the anchor arm equal
to two-tenths of the opening ought to be decidedly more economic than a
length twice as great.
In respect to the substructure, Dr. Steinman in his design for his 1,500-foot-span, four-track, steam-railway-and-highway, cantilever bridge found the cost of two main piers to be $1,262,000, and that of two anchor piers
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