Crossing Weak Bridges - Driving Fast or Slow?

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Discussion Overview

The discussion revolves around the considerations involved in crossing a potentially weak bridge, specifically whether it is safer to drive across it quickly or slowly. Participants explore various factors affecting load-bearing capacity, including vehicle dynamics, bridge design, and surface conditions.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question how different stresses change with speed and how vehicle dynamics affect the bridge.
  • There is a consideration of whether the bridge surface is flat or bumpy, which may influence the stresses experienced during crossing.
  • One participant references a scene from a movie where a train crosses a bridge at high speed, pondering the trade-offs between reduced time under compression and increased vibration.
  • Another participant argues that higher speeds on a bumpy surface could produce more transverse stresses, suggesting that slower speeds might be preferable.
  • Concerns are raised about the effects of acceleration on transverse stresses, with a suggestion that minimizing these stresses is important for weak supports.
  • A hypothetical analogy is made comparing walking over fragile surfaces, questioning whether slow or fast movement would be better in such scenarios.
  • One participant notes a discrepancy between the film and the original novel regarding the bridge's design, suggesting that a suspension bridge would behave differently under stress compared to a trestle bridge.
  • A personal inclination is expressed to walk across the bridge first before driving, indicating a cautious approach.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether driving fast or slow is preferable when crossing a weak bridge. Multiple competing views and considerations remain unresolved.

Contextual Notes

Participants highlight various assumptions about bridge design, surface conditions, and vehicle dynamics, which may affect the discussion's conclusions. The complexity of the problem is acknowledged, with no definitive resolution presented.

Feynman Bongos
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If you need to cross a bridge and you have reason to worry about its load-bearing capacity, do you choose to drive across it fast, or slow, or does it not matter? What are the considerations?
 
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Welcome to PF;
Decent question. How would you go about figuring it out?
How do the different stresses change with speed? How does the vehicle affect the road it is driving on?
 
Is the surface flat or real world bumpy? And is the shape also flat or humped?
 
Feynman Bongos said:
If you need to cross a bridge and you have reason to worry about its load-bearing capacity, do you choose to drive across it fast, or slow, or does it not matter? What are the considerations?

Welcome to the PF.

Is this question for schoolwork? You need to try to answer the question yourself, before we can offer much in the way of help. That's in the PF rules (see Site Info at the top of the page).
 
Ah, my schooldays were some while ago...
Last weekend I happened to see the old movie Around The World In Eighty Days. There's a scene where a train is about to go over just such a bridge. (Naturally the bridge is flat.) The driver chooses to back up so he can then have a good run at it in order to cross at top speed. But I wondered if that's preferable. On the one hand the structure will be under compression for a reduced time, on the other hand the vibration is likely to be greater... and I've seen signs before bridges requiring a low speed, but I've never seen one advising a high speed (there are of course other safety considerations relating to speed)... it may be that without specific construction details one can't very well get much further...?

PS I say 'compression' as it was a trestle design.
 
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Real-world bumpy would mean the higher speed produces more transverse stresses - you want to go as slow as possible. Railways are quite bumpy - notice the clickity-clack?

If the surface is weak, but not very brittle, it still takes a finite time for a particular part to flex enough to break - so it may be possible to move off one part before it flexes enough to break where sitting on one spot for a while may have you fall through. But you can see that this will depend on materials.

If the supports are weak though - these things have to absorb transverse stresses as well is downwards compression. You can't really do anything about the weight of the train - but you can minimize transverse stresses by going slowly.

If the vehicle accelerates over the bridge - this just adds to the transverse stresses as the wheels push on the bridge. A vehicle will have to apply some force the the bridge surface if it is not to slow down. anyway of course.

And you are right about the vibration.

If you had to walk over eggs, would you be best to go slowly or quickly?
How about if you had to walk over loose bricks standing on end?

Anyway - it reminded me of something but I don't want to hijack so I put it in another thread.
 
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I have just observed that in the original novel the bridge is, unusually for a railway, a suspension not as in the film a trestle structure. I would think that the characteristics of a suspension bridge would increase relative to those of vertical compression (or tension) the effects of longitudinal and transverse stresses, and give added weight, so to speak, to the argument for slowness.

Personally, I'd be inclined to get out and walk across first.
 

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