The
concludingparagraph
of thejoint report of theBoard
of Consulting Engineers toyour honorablebody
ofthisdate,closes with the statement: "The
individualmembers
will, to the ex-tentthey see fit, set forth theirreasons for theirindividual pre-ferences."As my own
viewson
the subjectoftwo
of the com-peting planswould
be incompletely expressed without such an exposition, I herewith present the statement therein contem-plated.I
am
very respectfully,Your most
obedient,J.
G. BARNARD,
A
Iember of
theBoard of Consulting Engineers.
The
undersigned, a consulting engineer, to select the best plan foryour proposed bridge,and
to adviseas to theawards
to be
made by
yourBoard
for "best," " second best"and
"third best "plans, having recorded his opinion, that,
whether
considered uabsolutelyswithoutmodification,"orasa"plantobe adoptedfor practical construction
by your company,
with suchimprovements and
modifications as suggest themselves," the28
plan of"Clark,
Reeves &
Co."isentitled totheaward
of "best,"briefly submits the followingreasons forhis preference:
I.
—
Simplicityof
design.In this respect it is unrivalled.
The
arch is recognized as theoretically theform
forbearing compressively apermanent
load—
the parabola, its proper trace,when
the load is uniform.The
combination in this bridge,while giving thearch as thepermanent
load-bearer, breaks it at thecrown and skewbacks
(by hinges) toavoid temperature strains. In this point ofview
the principleis againthemost
simpleand
elementaryin bridge building—
the juxtapositionfrom
the oppositebanks (when
the spanbecomes
too greatfor a singlebeam)
oftwo
struts meet-ingatan anglein the middle.In short spans,
where
this simple triangle of partsfirst finds its application, the thrust is usually takenby
a tie or chord.For»large spans, if a tie be used, the deflection due to load is thereby doubled, since the tie is stretched as
much
as the archmember
is compressed.Hence
the advantage claimed in this design of carrying the thrust direct to theground by
a short compressionmember
(a continuation of the arch form) reachingfrom
theabutment
hinges to theground.The two
struts intowhich
the arch isdivided are stiffened each
by
a counter-arch, also parabolic, givinga "lunette" or lenticular form to thesemembers
almost exactlycorrespondingtothatdemanded by
themaximum
strains—
a correspondence ofwhich
the ordinary "girder" (with par-allel chords) is necessarily destitute,and
forwhich
the gradua-tion ofweight ofmetal in itsparts isthe imperfectsubstitute.The
resulting externalform, an arch springing from thevery shores, gives to the structure a singularbeauty; apointby no means
to be disregarded. It should be further stated in this connection, that while the design is called an invention, theword
refers exclusively to the combination by which, for spans of extraordinary length, thesame
simple elements aremade
available as those
which
forages have been incommon
use for theshortest. In this point ofview
there is nothingwhatever
" experimental," the action of every part is well
known
by ex-perience.29
The
ucantilever" principle is farmore open
to the charge of being untried or " experimental." In endeavoring to cite a precedentfor such a bridge,Mr. Bender
* is driventotheirrele-vant structure, a "cantileverbridge with
two
arms," as hecallsit, the Brest drawbridge, consistingof
two
balanced swinging arms, the longermembers
of which, together, span a clear interval of 354 feet. This is no railroadbridge.A narrow
carriage-way with sidewalks alone occupies it,and no
long independent truss fills avacuum
in the middleand
hangs with-outconnection, almost, with its total deadand
live load,on
the extreme ends of the so-called"cantilevers."On
the contrary, thesemembers
of the Brest bridge k'arewedged
together in the centre so as toact partly asan
arch,when
theloadcomes upon
it."
The numerous wooden and
cast-iron bridges in Holland, England,Germany,
etc., also cited, are too insignificant, or too irrelevant tobe referred to asfurnishingany
experimentalbasis for great span cantilevers; the great variety of designs forwhich
are sufficient proofs that there is no such basis.II.
—
Perfect, or almostperfect, eli?ninationof temperature
strains.This
—
one of the difficulties oflong span bridge construction—
is accomplished by the hinges atthecrown and
at the abut-ment,by
hingeing the suspended floor at its middle point, andby
allowing play forvariations of length atits connection with the counter-arches.The
slight temperature strainthrown upon
the pierby
theabutment
strut—
easily calculated— may
bedisregarded. This, too,might
be completely eliminated ifitwere worth
while.III.
—
Perfectdeterminatenessof
strains, ?zotonly in thenor-mal
configuration, butwhen under
the slight distortionsproduced
by partially distributed '*live "loads.The
first condition flowsfrom
the simplicity of design.So
also does thelatter; butit isby no
means
inseparablefrom
thefirst.
A
slight distortion of the piers in the cantilevermay
very seriously alterthe actual strainsfrom
those of calculated strain*"LettertoyourCompany,September20th,1875.''
30
sheets,
and
the fact is strikingly illustrated in thecompeting
cantilever plan for which, to avoid such strains,remodelling
is required.*
IV.
—
Perfect fulfillmentof
the requirements, notmerely of our
specifications"which
leavesome
latitudefor
ar-rangement,
butof
convenience, in the disposalof
the thoroughfares.The ample
width of57 feet,from
outside tooutside of exter-nal arches, allows tobe centrallyplaced (as it should be) the railway track, while thetwo
outsidecompartments
are givenup
to exclusive useof thetwo
roadways, each with itssidewalk.The
breadth ofbasewhich
allows thisample room
forthe thor-oughfares, is also an important elementin the stability of the bridge againstwind
strains.V. —
Superiority in themain
elementswhich
constitute the, structure,and fewness of
parts.The
great bearing elements, i. e.: themain
" arch" of each"lunette," or half strut, the
abutment
strutwhich
continues the archform
to the ground,and
thecolumns
of the piers, etc., aremade
of the"Phoenix
columns," admittedly the bestwrought
iron" post," or compressivemember,
yet designed, and, inmy
opinion,incomparably
preferable to the latticed channel-iron posts, or compressivemembers, we
find in allthe othercompeting
designs.The
Phoenixcolumns have
been found experimentallyto have (see Bender,"Iron
Truss Bridges inAmerica,"
p. 35) an ultimate strength far higher than givenby Hodgkinson's and
Gordon's formulas,by which
it isusual (as our specificationsrequire) todeterminethequantity ofmetal in suchmembers. These members,
therefore, thus calculated, possess an excess of"safety "beyond
our safety "coefficients."But
not onlydo
they possess this extra strength, but they havebeen
calculated (according to the specifications) so as in no caseto receive a compressive strain ofmore
than 8,000pounds
per square inch.Under
the formulawhich
follows this specifi-cation, butwhich was
qualifiedby
it, for compressivemembers
SeeonthispointMr.Bender'spamphlet,11IronTrussBridgesinAmerica,"p.24,§2.
31
longer than twenty-four times the radius of gyration,
com-pressive strainsmuch
higher have been taken for the posts of theDelaware
BridgeCompany's
bridge. This accounts forany
difference theremay
appear to be in the weight perfoot infavor of the latterbridge.To
this superiority offormand
fewness of parts of themain
elements is incidental a comparative smallnessof exposed sur-face,which
ishencemore
easilyand
inexpensively protectedfrom
corrosion.Nl.—
Rigidity.In this important feature
— one
ofno
secondary importancewhen
the subjection of the bridge to railway trainsmoving
at full speed isconsidered—
it surpasses, in virtue of the essential character of the design (alluded tounder
I. head) all others.A
reference to the deflectionsunder
liveload of the bridge in question,and
theDelaware
BridgeCompany
illustrates thefact, for the former, .30of a foot (inthe centre) ; for the latter .356 (end of cantilever), towhich must
beadded
the deflectionof
the200 foot span (.16 of a foot) connecting truss,making
the total .517 of a foot,or nearly double theformer.The
PassaicCompany's
cantileverfurnishes about thesame
result.VII.
— The
completenessand
thoroughnessof
the designas it isactuallypresented for your
consideration.No
"modifications" materially affecting the design asnow
presented have
been
suggestedand none
are required. It isnot pretended
by
the designers that all the detailshavebeen worked
out; thattheremight
not be, withimprovement, some
changesmade. But what
is maintained here is, that such requirements refer rather to fillingup
of details than to actual modifications.VIII.
—
Economy.
As
this is determinablefrom
the estimate, the cost is about thesame
as for thethreeor four least costlycompeting
bridges, theDelaware
BridgeCompany's
bridgeincluded.In consideration of thecompleteness of the design of Clark,
Reeves &
Co., the superiority of itscomponent
parts,and
the32
manner
inwhich
itsweightof metal has been calculated, I be-lieve itto bemuch
the leastexpensive bridge of any.Having
set forthwhat
Iconsider the points— and
they coverthe
whole
field of inquiry—
inwhich
I consider the Clark,Reeves &
Co.'s bridge as not only entitled to theaward
of"best" absolutely,but as the
one which
should be " adopted forpractical construction," Ishall brieflyalludetothe objections offered;and
first, as toI.
—
Anchorage.
It is a peculiarity of the design that thepiers, as they are called, are not
under normal
conditions, eitherweight or thrust-bearing.They
receive the strains (whether compression or extension)by which
amoving
loadwould
tend to displace the hinge-point,and
theyreceive, in a large degree,wind
strains.The mere
fact,thatanchorageisnecessarytomeet
thesestrains, isno more
an objection than it is(where
equally necessary) in a cantilever or suspension bridge.II.
— The want of
provisionby lateraland diagonal bracing for wind
strainsin theopenings for
theroadways.
It is not believed there is anydefect here
which
can not be provided for,and
so it is stated in themain
report.These
mat-ters are not exhibited in the drawing.The
designers state that they have been fully considered.Something
equivalentiscom-mon
to all through trusses,and
a nearer resemblance is found in theSt. Louisbridge.The
crossand
lateral bracingis neces-sarily interrupted,and
substitutes forthesemembers
is found in greatly strengthening themain members and
in aproper application of braces or brackets.It is to be
remembered
thatthough
the lunettes rise to a height atpoint ofmeetingof80 feetabove the floor (90 feet in the seconddesign), the pointofattachment of thefloor suspend-ers is generally comparatively low, risingtothe extreme height only through a short interval near the centre of the bridge;
hence the floor weight (including the total live load) is not in realityborne high.
33
III.
— An
objectionbroughtagainst thedesign (alludedtointhe joint report) is that a large portion in length of the floorissus-pended and
subjectby
thewind
to harmful vibrations.That
themeasure
ofthisdestructivepower had
notbeen takenin earlier days ofsuspensionbridge construction is notorious,and
the listof English,