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Replacing an old truss bridge?

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Posted by 7j43k on Tuesday, February 8, 2011 8:14 PM

I've added a shot from the side of one of the smaller SP&S truss bridges:

 

It's a big picture, but then you can see the details that way.

 

 

Ed

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Posted by CNW 6000 on Tuesday, February 8, 2011 5:07 PM

Paul,

I planned on that already.  I have a few pictures of the boring (rock, that is) work that was done last fall and yes, I own a boat.  Smile, Wink & Grin

Dan

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Posted by Paul_D_North_Jr on Tuesday, February 8, 2011 1:26 PM

Ed/ 7j43k - Thanks for that additional information.  When I have a little more time I'll play around with what the load distribution would be with and without those tension rod 'counters' - I don't have that kind of thing 'imprinted' into my mind well enough anymore to recall it with any confidence.

I'm still troubled about why the much thicker/ larger/ heavier bottom chord members at the ends of that bridge - that makes no sense when considering the vertical/ weight loads on the bridge, which would likewise cause only tension forces there, and in smaller values at that.  However, those members may be designed to also resist longitudinal train forces such as pulling or more likely braking, which would have been a known load 'back in the day', too.  Those train action forces could be large enough to overcome and dwarf the primary tension forces caused in those bottom end members from weight alone, and place them into compression instead. 

[Warning: Detailed explanation and some math follows !]  For instance, if a train of approximately uniform weight per linear foot was on the far half of the bridge only, the center of gravity of the portion of its weight on the bridge would be at 1/4 of the distance out from the far abutment, and so only 1/4 of that weight would be carried by the near abutment (if you're not familiar with engineering Statics or a related subject, just trust me on this).  For a bridge of these proportions - a height of about 20' for a 150' span - the tensionin the bottom chords  from that weight at the 2nd "panel point" out from the near abutment = at 1/4 of the way across, which is where the larger chords first appear - would be about 150 / (4 x 4 x 20) = 44% of that weight.  However, a "full service" or emergency brake application could easily generate longitudinal compression forces of from 25% to 33% (based on the same coefficient of friction of steel wheels on steel rail as for adhesion, etc.) of that same weight - not quite enough to overcome the tension in the bottom chord at that 2nd panel point, but getting close.  And a similar calculation for the 1st of the 8 panel points out from the near abutment would have a similar 25 to 33% compressive train force against a tensile force of 150 / (8 x 4 x 20) or about 23.5% of the train's weight, so a compression condition is quite likely there.  Considering all of that, I believe that's why those 1st 2 chords are so heavy - the 1st one because it needs to be for this reason, and the 2nd one becaus it's 'borderline' in that regard and the designers rightfully had and used an abundance of caution.  Maybe more on this later . . . As you can maybe tell, iI'm a little intrigued by this opportunity to analyze and think about this venerable structure. 

- Paul North.

"This Fascinating Railroad Business" (title of 1943 book by Robert Selph Henry of the AAR)
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Posted by Paul_D_North_Jr on Tuesday, February 8, 2011 12:42 PM

Dan / CNW 6000 - Sounds interesting.   ( Mischief Personally, I'd prefer a Scherzer Rolling Lift Bridge* instead - but that's just me . . . )  See if you can document its progress with photos as it goes on, a la K.P. Harrier.  Know anybody with a boat ?   Smile, Wink & Grin 

- Paul North. 

*EDIT: For those of you who don't know what this is, see:

 http://www.rideau-info.com/canal/images/places/img-scherzer.html and

http://en.wikipedia.org/wiki/File:MovableBridge_roll.gif  - PDN. 

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Posted by 7j43k on Monday, February 7, 2011 1:37 PM

Paul,

A couple of comments about "my" bridges:

The center two panels of these bridges each contain an "X" pattern--hard to see are the tension rods (very roughly an inch in diameter) that start from the top center of the truss and go diagonally downward across the middle two panels (an inverted "V" form).

Also, on these bridges, the bottom chords are pin connected tension bars for the two or four (in this case) inner panels.  So your comments about tension only for these members is spot on.  And that is the trickiest part about converting the Central Valley bridge--scale size tension bars are going to make the model very delicate when it's not in position.  There are also other members that I'll have to build.  I've visited these bridges a couple of times and have taken a lot of pix--though there always seems to be the one(s) that I SHOULD have also done.  But I'm not trying to do an exact model, just one that looks right--that's hard enough.  

 

Ed

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Posted by CNW 6000 on Monday, February 7, 2011 1:15 PM

Paul,
You're correct on the supposition of two equal openings.  If the information I have is correct there will be about 6' of clearance under the non-moving spans.  The height at the peak of the bascule section is just short of 70' when fully opened.  It should be built alongside the existing bridge and then cut over when ready, if the information I have is correct. 

cx500,
That makes sense.  I will be curious to see what actually happens.

Dan

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Posted by cx500 on Monday, February 7, 2011 12:02 PM

CNW 6000

Must be bridge season...or the engineers like playing cards with each other...

CN has started the process to replace the swing bridge over the Fox River in Oshkosh, WI.  It was erected in 1899 and is structurally strong...but other bridge related machanical failures.  Currently the bridge is a truss bridge: three sections with the center pivoting to allow marine traffic clearance.  The replacement seems likely to be a TPG in four sections with #3 being a bascule, pivoting up to 60 degrees.  Any idea why the RR is likely to change from one type to the other here?

The railroad is not the only party involved, and it may have been the choice of the navigation folks (Coast Guard, Army Corps of Engineers?).  There are lots of variables that go into the decision-making process.

John

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Posted by Paul_D_North_Jr on Monday, February 7, 2011 12:00 PM

Same or wider horizontal opening for the boat traffic, with less mechanical complexity - a simple horizontal axis, instead of essentially a turntable out in the middle of a river = more reliability.  Also, less weight and length of structure to move, and easier to access from that end for maintenance and repair instead of out at the 'island'.  (I presume the existing swing bridge is symmetrical, with the pivot in the middle of the center truss, and not on one end, which is rare.)  Also, the center-pivot type creates 2 channels of the same width, but if only 1 is needed for the traffic volume, then that's a redundancy that costs money to build, maintain, and move with each opening.  Both types have unlimited vertical clearance -  contrast with a vertical lift bridge - so that's not likely the reason. 

- Paul North. 

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Posted by CNW 6000 on Monday, February 7, 2011 11:46 AM

Must be bridge season...or the engineers like playing cards with each other...

CN has started the process to replace the swing bridge over the Fox River in Oshkosh, WI.  It was erected in 1899 and is structurally strong...but other bridge related machanical failures.  Currently the bridge is a truss bridge: three sections with the center pivoting to allow marine traffic clearance.  The replacement seems likely to be a TPG in four sections with #3 being a bascule, pivoting up to 60 degrees.  Any idea why the RR is likely to change from one type to the other here?

Dan

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Posted by Paul_D_North_Jr on Monday, February 7, 2011 11:14 AM

[EDITED]  Thanks for sharing that link. 

The 2 additional panels are not the only difference, aside from the general 'heavier'/ larger/ stronger appearance, which might also be due to the added length.  In particular, look at the lower chord -  notice how it's thinner/ smaller/ lighter under the middle 4 panels, and thicker/ larger/ heavier under the 2 panels at each end ?  Why might that be ?  Especially since the usual case is that the largest 'bending moment' = load is at the middle of the bridge's span . . . ?  But that's not true of the top chord . . . 

Also, the verticals in "your bridge" are built-up with the 'laced' webs, and the middle 2 panels also have built-up diagonals that are much thicker/ larger/ heavier than on the SP/ CV bridge, even though the diagonals in the adjoining panels are also comparatively thin eyebars.  It's hard to tell from this photo's angle, but all of the diagonals appear to slant down towards the middle of the bridge, and there aren't any panels with an 'X' shaped pattern of diagonals - correct ? 

The short answer is that with that specific arrangement of the diagonals, the designers might have thought that the bottom chord at the ends could be put into compression with certain loads at certain locations and so needs to be bigger and stiffer to prevent buckling.  However, that's highly unusual - normally all of those lower members of a Pratt truss are in tension only.  Coincidentally, the Unsworth book considers exactly that in an example of "influence lines" in Example 5.5 on pgs. 168 - 171 for a very similar 156.38 ft. long, 8-panel Pratt through truss, member L1 - L2 and L3 - L4  in Figures E5.5c and E5.5e, respectively.  And in the middle the bottom chord will always be in tension - like a cable, so it can be thinner - just enough to resist the 'pull'.   

See also this link to a commenrtary on the similar 9-span, 1,291 ft. long ex-SP Salt River Bridge in Tempe, Arizona: 

http://www.tempe.gov/museum/Tempe_history/properties/hps228.htm 

(Darn - I was in that area less than a month ago, and had no idea - it would have been worth a side trip to see & photograph it.  Maybe next time . . . )

 

- Paul North.

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Posted by 7j43k on Friday, February 4, 2011 7:20 PM

Here's a picture of 4449 about to cross one of "my" bridges, though this one has two more panels than the "Central Valley" bridge:

 

Ed

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Posted by Paul_D_North_Jr on Friday, February 4, 2011 2:41 PM

7j43k
  Oh, my!  And I was getting apprehensive about modifying the CV bridge to the prototype.  Certainly a possibility, though.  [snip]  

  Yep - it's apparently based on an SP prototype at Piru, California, per this from the Central Valley Model Works page for the bridge, at:

http://www.shop.cvmw.com/150ftHOscaleTrussBridgeKit-1902.htm 

"The prototype bridge that the kit was copied from is a Southern Pacific bridge at Piru, CA (2 spans). It was manufactured by the N. Y. Bridge Company and was erected in 1902. It is a very common and typical design that is used throughout North America and even other parts of the world. Many are still in use and many subtle variations are possible. Modifications in bracing, rail, guard-rails, walkways and railings, telegraph arms attached, and different portals are common. They are most often painted black, but there are examples of silver, gray, red oxide and green that I have seen." 

The bridge is apparently still standing, even though the rails have been removed, and it may have a walkway, path, or trail across it, as it is just east of "Warring Park" in Piru.  Piru is about 40 miles NW of Los Angeles, and about 10 miles W-SW of I-5 on Rt. 126 from just north of Santa Clarita.  The bridge is at these Lat./ long. coords., per the "ACME Mapper 2.0" application:  N 34.41672 W 118.78900

Here are also a couple links to nice photos (not mine) of it:

http://www.flickr.com/photos/80651083@N00/368418590/sizes/l/in/photostream/ 

http://www.flickr.com/photos/sir_baldilocks_of_the_glen/2534969217/sizes/l/in/photostream/ 

A couple years ago a UP freight derailed and took out a similar former SP bridge near Palisade, Nevada.  Here are some links to, for, or related to that:

http://cs.trains.com/trccs/forums/p/144348/1604384.aspx - thread here

http://www.railpictures.net/viewphoto.php?id=63671 

http://www.railpictures.net/viewphoto.php?id=266734 

http://en.wikipedia.org/wiki/File:PalisadeNV.jpg 

http://www.rgusrail.com/nvpalisade.html

http://www.somewherewest.com/SP%20and%20The%20Overland%20Route/Palisade%20Canyon,%20Nevada.htm 

- Paul North. 

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Posted by Paul_D_North_Jr on Friday, February 4, 2011 11:22 AM

Cooper's E-80 loading is based on a theoretical double-headed pair of "Consolidation"-type steam locomotives - 2-8-0's - followed by a train.  Each loco has 80,000 lbs. on each of 4 indivdual axles at 5' spacing (60" max. diameter, more likely about 56") apart (320,000 lbs. over 4 x 5' = 20 ft. overall = 16,000 lbs./ ft. average), with 40,000 lbs. on the pilot truck 8 ft. ahead, and 52,000 lbs. on each of the 4 tender axles at varying spacings.  Altogether, each loco is 568,000 lbs. over a 48' wheelbase, or about 11,800 lbs. per ft.  Since there's an 8' space between their axles, the two locos together for a Cooper's E-80 loading have a 104' long wheelbase and 1,136,000 lbs., or about 10,920 lbs. per ft.  There's also a space of 5' between the trailing loco and the following train, which is a continuous load of 8,000 lbs. per ft. - no individual axles are considered.   

Since 80,000 lbs. per axle is about the highest axle load that has ever been accepted for general use on the U.S. railroad network, any 4-8-4 (such as the 844 or the BNSF's locos) would not have more than 80K on its 4 driving axles - the same number of axles as Cooper's 2-8-0's.  Also, those steamers have 80" diameter drivers so that overall wheelbase is at least 26.7', as compared to the 20' for Cooper's.  Likewise, the 3985 is a 4-6+6-4, but it has only 12 heavy axles, not the 16 of Cooper's, though at 69" diam. they are a little closer together - but still not as close or 'dense' as Cooper's 2-8-0's. 

Per UP's webpage on the 844 at -

 http://www.up.com/aboutup/special_trains/steam/locomotives/844.shtml 

- the total engine plus tender weight is 908,000 lbs. over its 114.2' length/ 98.4' wheelbase or 9,230 lbs. per ft.  The 4 driving axles have 266,500 lbs. on them or 66,625 lbs. per axle, so you can see that by any measure the Cooper's E-80 loading is considerably heavier than the 844.   

The 3985 is of course a little different, but per its webpage at -

http://www.up.com/aboutup/special_trains/steam/locomotives/3985.shtml 

the total engine + tender weight is 1,074,000 lbs. over its 121.9' wheelbase or 8,811 lbs. per ft.  The 6 driving axles have 404,000 lbs. on them or 67,333 lbs. per axle, so the Cooper's E-80 loading is again considerably heavier than the 3985 !

I presume that the N&W's J 4-8-4 611 and A 2-6+6-4 1218 are similar.  (The 611 is 872,600 lbs. total over 109.2' = 8,000 lbs. per ft., 288,000 lbs. on the 70" diam. drivers = 72,000 lbs. per axle, per -  http://en.wikipedia.org/wiki/Norfolk_and_Western_611    The 1218 is 951,600 lbs. total over 121.9' = 7,810 lbs. per ft., 433,350 lbs. on the 6 axles also with 70" diam. drivers = 72,225 lbs. per axle, per - http://en.wikipedia.org/wiki/Norfolk_%26_Western_1218 and http://www.vmt.org/Loops-Collections/Steam-locomotive-Loop/Class-A-Steam-Locomotive-1218.html  So the N&W engines are a little lighter in total weight and per ft. of track than UP's, but had higher axle loadings - but still about 10% less than Cooper's E-80 axle loadings, though !)

I never heard or saw that the bridges were a reason for NS to end its steam program - that wasn't a concern when they were running, either.  If the bridges could handle modern 6-axle diesels which weigh up to 400,000 to 420,000 lbs. each = 67,000 to 70,000 lbs. per axle, as a practical matter the weights of the steamers aren't too much different from the loads of the trailing truck of 1 diesel and the leading truck of the next following one. 

The 'overweight' heavy loads are not addressed in Unworth's book - a surprise, considering that Cp moves them,as you note.  Nevertheless, they're not usually a problem.  The builders of the Schnabel and other heavy-haul flatcars are usually careful to make them with a long enough wheelbase and enough trucks and axles under them that the weight per ft. of track and the axles loads are all within Cooper's E-80 or another acceptable lesser loading.  For example, a 1 million lb. gross weight (load + railcar) isn't near as heavy as Cooper's double-headed 2-8-0's, at 1.136 million lbs. over 104 ft.  Alternatively, at an allowable 8,000 lbs. per ft., that mega-load needs to be on a car (or cars) that are at least 125 ft. long together. And at 80,000 lbs. per axle, those cars need to have at least 12.5 axles carrying everything.  It would be pushing things a bit to use either 2 - 6 axle flat cars or 3 - 4-axle flats, but it could be done, esp. if the speeds over the bridges were limited to 10 MPH or less to reduce the impact factor from the moving load.  A more prudent approach would be to use a pair of 8-axle flatcars - 2-2+2-2 - or a Schnabel car with a similar number of axles, for a total of 16 axles.  That would reduce the axle loading for a 1 million lb. load to about 62,500 lbs., which is consistent with a 250,000 lb. or 263,000 lb. standard freight car on 4 axles, which is a nominal 100-ton payload or so.

- Paul North.

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Posted by blue streak 1 on Thursday, February 3, 2011 9:05 PM

Paul_D_North_Jr

Still, for a similarly proportioned bridge, take a look at this newly installed massive modern through girder bridge on the UP's Sunset Route at the following links to another thread here, Sunset Route Two-Tracking Updates (photos by K.P. Harrier): 

More interestingly, current train and axle loadings appear to be within the loadings that a lot of those older bridges were designed for - albeit just barely.  In section 4.3.1 Static Freight Train Live Load (pgs. 89 - 92), Figure 4.2 on pg. 90 is "Equivalent Cooper's E Loads for Some Modern Railway Freight Locomotives and Equipment on Simply Supported Bridge Spans up to 150 Ft in Length"*.  For the 150 ft. spans we're discussing here, the 432,000 lb. 80 ft. long 6-axle locomotives and 315,000 lb. 36 ft. 4-axle cars that are considered in that diagram are about equal to a Cooper's E-72 loading in bending, as compared to moden standards of a Cooper's E-80 loading.   

- Paul North.

PDN: What is the load ability for a Cooper's E-80 loading? What comes to mind is that both UP and BNSF o operate steam trains on a irregular basis. Both the present UP locos and #4449 are heavy locos. Also the high wide heavy loads that come at irregular intervals is a point. I am thinking about the 1M# transformer that CP recently handled. So what kind of Cooper's loading is needed for these occasional loads?

Another slightly off topic thought is ----  Did this give NS have another reason to end their steam program because of bridge loading on the probable steam routes? I seem to remember that much of SOU RR never had very heavy load ability? Also maybe CSX may have loading problems and do not want heavy steam locos ?

 

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Posted by KGBLA on Thursday, February 3, 2011 5:29 PM

Hi Steve. I trust that all is well with you, except your memory.  I was the designer of Tomah Sub Br 283.01, 5-74' and 2-111' TPG's and the 4 new piers.  Geez.  John writes a book and then he gets credit for everything!

Take care. 

Kevin

 

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Posted by cx500 on Thursday, February 3, 2011 12:19 PM

Thanks, Paul,  for locating a much better picture of the Rock Island bridge.  I only passed through the area once, briefly, and the sun angle was terrible.  Furthermore, it was in the era when the motive power was what I concentrated on.  Now that I am older and wiser, I see all sorts of opportunities overlooked in the background of my older slides!

John

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Posted by Paul_D_North_Jr on Thursday, February 3, 2011 10:47 AM

Back to the original bridge question here -

Most rational and prudent railroad bridge owners have those bridges inspected at least once every 1 - 2 years, and then make repairs as necessary, so it's unlikely that these have any unknown problems with them, or any issues at all, if the trains arre running at full 'track speed' over them. 

Further, I should have noted previously that last year the FRA adopted new Bridge Safety Standards, effective Sept. 13, 2010, at 49 CFR Part 237, which can be found at (29 pages, approx. 206 KB in size):

 http://www.fra.dot.gov/downloads/safety/BridgeFinalRule2010.pdf 

In brief, that regulation requires each Class I railroad to create and adopt a "Bridge Management Program"  by March 14, 2011, which includes annual inspections, etc.  So again it's not likely that any problems will last long. 

Who knows - the reason they haven't been painted recently may be related to anything from temporary economy-based budget cutbacks for non-essential and discretionary work, to obtaining permits and contractors to properly manage and contain the inevitable lead paint flakes from the older paint on them when being sandblasted from getting into the river, to more extensive work on them being planned soon anyway - so why spend money on paint that's only going to be replaced or marred soon anyway ?

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Posted by Paul_D_North_Jr on Thursday, February 3, 2011 10:23 AM

Link to a 3/4 angle photo of the Rock Island (Washington) Bridge by Steve Carter, who sometimes posts here as "ottercove" if I recall correctly:

http://www.railpictures.net/viewphoto.php?id=254428 

The apparent pattern of the principal members in the middle of the 2nd/ outer/ lower truss is sure unusual . . .

- Paul North. 

 

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Posted by Paul_D_North_Jr on Thursday, February 3, 2011 10:13 AM

Obviously, an excessively heavy load will overload and overstress a bridge member, and cause it to fail by either breaking, cracking, or stretching ="yielding".  What's not so obvious but nevertheless often true is that lesser loads - still within the allowable loads for the bridge - also cause damage, which accumulate over the life of the structure, and can eventually lead to much the same kinds of failures.  The common analogy is bending a paper clip - bend it a little bit, or even for a large angle - just 1 time, and it likely won't break.  Bend it through a large angle many times, and it will eventually break - that's because each bend is a complete "stress cycle" and a reversal from compression to tension or vice-versa on one side or the other of the paper clip.  Bend it only a little bit, and it will still break eventually, but it will last for many more repetitions of the bending than it did when bending it through a much larger range or angle.  That kind of failure is a "fatigue failure", although the "strain" (motion) range is extreme - no bridge member is ever bent that far out of line.   

The challenge is to be able to figure out how much of a load is the threshold for starting to cause that kind of damage, and how many of them can be tolerated over the life of the bridge ?  That analysis is complicated because in a general freight train of mixed loads*, there will be: 1) a bunch of empties*; 2) some moderate loads; 3) a lot of near-max. carload capacity loads*; and, 4) maybe a few more that are close to the bridge's maximum allowable load.  The first 2 categories can be ignored - it's the last 2 that are of concern.  There are mathematical/ statistical ways to essentially 'equalize' those different loads to a common basis, which are then often called "Constant Amplitude". 

*Unit trains or "fixed consists" such as multi-level auto-rack cars are relatively easy - all loads of a certain weight range in one direction, and all empties in the other. 

Once that is done, the "fatigue life" of a bridge member can be assessed (for existing bridges) in light of its past loading history (Good luck with that ! - finding those detailed records, though) or predicted or design loads(for proposed bridges).  That fatigue life is usually measured in terms of  the "Stress Range Cycles" for the Constant Amplitude as defined above.   

Another complicating factor is that shorter bridges will experience more cycles than longer ones - the shorter bridges are more sensitive to the loads from individual wheels and cars or locos, whereas longer bridges are affected more by the weight of the total train.  As a result, the AREMA Manual indicates that the number of Variable Amplitude Stress Range Cycles per Train ranges from about 3 cycles per train for spans over 100 ft. to as many as 110 cycles per train for bridges shorter than 50 ft.  So one way to deal with that is to make the members of shorter bridges much stronger, so that they don't experience near as high a stress over their many more cycles.

Accordingly, AREMA recommends that members and their 'details' be designed for different stress ranges and nuymber of cycles, depending on their nature and how critical they are to the bridge, and how long the bridge span is.  The number of cycles ranges from 1.8 million to 22 million.  For reference, 60 trains per day for a design life of 80 years is 1.75 million, so you can see that the number of cycles per train ranges from about 1 to about 12.

Much of this post above is taken from Unsworth's book, Section 5.3.2.2.2 - Fatigue Design Criteria, which includes 5.3.2.2.2.1 - Railway Fatigue Loading, and 5.3.2.2.2.2 - Fatigue Strength of Railway Bridges, (pgs. 212 - 224 inclusive), to which I refer you for a much more thorough treatment of the theory and literature, analysis, and discussion.     

- Paul North. 

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Posted by Murphy Siding on Wednesday, February 2, 2011 10:18 PM

     What are 'fatigue life' stress cycles?  How are they measured(?)

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Posted by steve14 on Wednesday, February 2, 2011 2:15 PM

There is another good picture of the Rock Island, WA bridge on page 107 of Brian Soloman's book North American Railroad Bridges. It shows it in a 3/4 angle shot with MRL, Soo and BN power. You can get a good look at how the reinforcing trusses are set onto the original trusses.

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Posted by Paul_D_North_Jr on Wednesday, February 2, 2011 2:03 PM

Wikipedia at -  http://en.wikipedia.org/wiki/Rock_Island_Railroad_Bridge_(Columbia_River) (usual disclaimers apply) and the National Register of Historic Places confirm it was built in the 1892 - 1893 time frame; Wikipedia says the 2nd truss was added to strengthen it in 1925, which is plausible. 

Link to National Register page for it - not much available 'on-line', it seems - it was added in 1975: 

 http://nrhp.focus.nps.gov/natregsearchresult.do?fullresult=true&recordid=29   

Item No.:

75001842  NRIS (National Register Information System)

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Posted by Paul_D_North_Jr on Wednesday, February 2, 2011 1:38 PM

cx500
  [snip]  I don't know anything about its history but have assumed that the outer trusses are a retrofit to strengthen the span, probably when heavier steam locomotives appeared in the early years of the last century.  Maybe someone else on the forum knows more of its history and can expand or correct. . . . Calculating the detailed stresses must have been a challenge.  Or could the engineer conclude there was so much redundancy that rough approximations were sufficient to confirm the adequacy of the combined trusses?  

 

I too don't know anything about it other than what we see here and what I've seen of it before.  it's different and significant enough that it may have been written up in a professional journal such as the AREA Proceedings or the trade press at the time - whenever that was.  Nevertheless, I'll venture an answer to your question:

Highly unlikely that the engineer would have settled for a rough approximation - at least not explicitly.  Although, as a practical matter the assumptions about the performance and reactions of the 2 interconnected spans to a theoretical train loading - as opposed to those in the real world - do have substantial amounts of unknowns which are covered by various margins or factors of safety, which are essentially an acknowledgment of the existence of a rough approximation.

I can think of 2 ways to analyze the load distribution among the 2 trusses: 

1) Assume that each truss carries a certain type of load in proportion to that truss's strength to support that load.  For example, if the existing members of the old truss have 40% of the capacity needed to support the bending moment load from the "design train loading" in the center, and the proposed new truss has 60% of the capacity for that load, then assume that said load is distributed commensurately.  That principle not only has a obvious logical and 'common-sense' appeal, it is also the basis for distributing loads and analyzing stresses in 'indeterminate' type structures that are often redundant in some ways which prevent a direct solution based simply on the structure's geometry, such as the 'Moment Distribution' method (promulgated by Univ. of Ill. Prof Hardy Cross).  In essence, this combined truss structure is an indeterminate structure, so that is also an appropriate rationale. 

This approach also illustrates the 'circular' or 'feedback' nature of the challenge of the design and analysis process here - the loads on a member pretty much follow how strong you make the member, so the stronger you make it the more load it picks up and carries, and so the stronger it has to be, and so on.  Sometimes the iterative assume/ analyze design process can go on for a while like being on a treadmill, unless you can recognize the 'limit' or 'bound' that the member's load or size is trending towards - like based on past experience and intuition, etc. - and just jump ahead to that.  

2) Assume the old truss carries nothing except maybe its own 'dead load' weight, and maybe its floor system is still good enough to transfer the loads across/ out into the new truss, which then carries all of the major loads.  But that is wasteful of the existing capacity of the old truss, and the new materials that would be needed in the new truss to duplicate that capacity, so I very much doubt if it was done that way.     

Key to any analysis is connecting the two trusses together at each 'panel point' so that they interact and move and share the loads as one.  If you imagine 2 long planks - 1 on top of the other - suspended between supports at their ends, and then standing on the top plank, you can envision how as the top plank bows down, it will contact the bottom plank and cause it to bow down too, which will 'mobilize' its strength as well to carry the load.  But if the bottom plank is a little wider so that you can stand on it without touching the top plank, then the bottom plank will have to carry all of the load, and so will bend down that much more, which is not desirable.  The solution to the latter scenario is to somehow clamp, nail, or screw the 2 planks together so that when under load they act as one, and that was undoubtedly done to this bridge as well. 

Thanks for sharing that photo, too. 

- Paul North. 

"This Fascinating Railroad Business" (title of 1943 book by Robert Selph Henry of the AAR)
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Posted by PNWRMNM on Wednesday, February 2, 2011 1:27 PM

The GN bridge at Rock Island WA was completed in 1893.  I do not know when it was strengthened, but the GN liked to run 2-10-2 locos between Spokane and Wenatchee.  That line segment has long 1% ruling grades in both directions, but longer eastward.

I know the work was done before the mid 1960's when I was old enough to begin to pay attention to such things.

Mac McCulloch

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Posted by Railway Man on Wednesday, February 2, 2011 12:23 PM

Signals, sidings, and bridge replacements all come out of different budgets, on different timetables, with different managers, with different philosophies.  Also, signal forces and bridge forces each paint their own stuff, and so what one does isn't necessary coupled to what the other does. I wouldn't read a single thing into the observations you've made having any bearing on the future of any bridge.

The CV model strikes me as on the lighter side, like maybe an E-40 design, and the proportions are unusual for a railroad bridge.  I've never studied it in detail, but it might be based on a highway bridge.

RWM

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Posted by 7j43k on Wednesday, February 2, 2011 11:35 AM

Oh, my!  And I was getting apprehensive about modifying the CV bridge to the prototype.  Certainly a possibility, though.  

One thing that gets me thinking that these bridges are headed for replacement is that, at least as of July of last year, none (I think) have been repainted.  And some of them are looking really tatty.  And BNSF has replaced all the signals on the line and added a new siding (an expensive one, I believe).  Mind you, I think the bridges, as is, are thoroughly acceptable.  To me.  Especially if they were repainted.  It's hard to beat a nice honest truss for aesthetics.  

 

Ed

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Posted by cx500 on Wednesday, February 2, 2011 2:12 AM

In my earlier post I referred to the truss bridge at Rock Island, in Washington State.  I have now scanned one of the slides, and as you can see, the Through Truss span has become pretty complex.  I don't know anything about its history but have assumed that the outer trusses are a retrofit to strengthen the span, probably when heavier steam locomotives appeared in the early years of the last century.  Maybe someone else on the forum knows more of its history and can expand or correct.

Calculating the detailed stresses must have been a challenge.  Or could the engineer conclude there was so much redundancy that rough approximations were sufficient to confirm the adequacy of the combined trusses?

John

 

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Posted by mudchicken on Tuesday, February 1, 2011 7:39 PM

Mr. Pratt probably is wondering what all the fuss is about.Huh?

*If it ain't broke, don't fix it! As long as it's serviceable, let it be. The Class 1's tend to be very agressive about their steel bridges. This forum has seen in the past, how absurd some non-bridge experts can be. (CSX at Covington, KY has popped-up on this forum just a few times, the 1929 C&O bridge that replaced an earlier bridge that was the subject of a recent thread)

Mudchicken Nothing is worth taking the risk of losing a life over. Come home tonight in the same condition that you left home this morning in. Safety begins with ME.... cinscocom-west
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Posted by 7j43k on Tuesday, February 1, 2011 6:52 PM

As the saying goes: "I guess I came to the right place."

Thanks much for the various comments.  Here's a couple of pictures of the type of bridge I'm talking about:

 

http://www.aaroads.com/west/washington006/wa-014_wb_at_rock_cr_02.jpg

http://columbiariverimages.com/Images/BNSF_engine_rock_cove_bridge_2005.jpg

 

They are certainly in use, as they are on the BNSF mainline from Spokane to Portland.  To my awfully untrained eye, the various pieces of the truss match up closely with the Central Valley model truss bridge.  

 

Ed

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