This article was posted 08/03/2006 and is most likely outdated.

An Engineer's Story Problem
 

 
Topic - Unusual and Special Issues
Subject - An Engineer's Story Problem

August 3, 2006  

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An Engineer's Story Problem



A Backhoe weighing 8 tons is on top of a flatbed trailer and heading east on Interstate 70 near Hays, Kansas. The extended shovel arm is made of hardened refined steel and the approaching overpass is made of commercial-grade concrete, reinforced with 1 ½ inch steel rebar spaced at 6 inch intervals in a criss-cross pattern layered at 1 foot vertical spacing.

Solve:  When the shovel arm hits the overpass, how fast do you have to be going to slice the bridge in half?  (Assume no effect for headwind and no braking by the driver...)

Extra Credit: Solve for the time and distance required for the entire rig to come to a complete stop after hitting the overpass at the speed calculated above.  Yes, you can neglect friction...

Demonstrative Solution: (Doesn't look as though he could get up enough speed to make it all the way...)

 

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Comments
  • Here's what happened: The boom of the trackhoe struck the first main beam of the bridge below the deck and handrail. As it moved throught the bridge, the boom was pulled upward and over-extended the rams which failed either in the rams or brackets holding them on. Then when the boom hit the center main beam of the bridge it stopped and tipped the trackhoe up, breaking any binders or chains that held it, and smashing the cab into the bottom of the bridge (note damage to bridge at bottom trailing edge, and trackhoe cab). The track hoe was then wedged up against the bridge and the step in the low boy trailer (this was not a flat bed as stated). The remaining momentum apparently caused the trailer to fail at the goose neck or tounge as you can see the back end of the trailer in the photo, but not the tounge. To cut throught the bridge completely, you would need bind the hoe to the trailer with something stronger and reinforce the trailer tounge to withstand the forces imposed by the bridge. But the bridge was apparently strong enough to cause 3 other components to fail first: the rams, the binders, and the trailer. The boom was the one component that looks like it could have cut through the bridge if it could have been held securly by the others that failed.

    M Farr
  • Reply from: Nosesani   
    MFarr, since you are so knowledgeable about this, I'm wondering if you were the driver.

    Reply from: OTTO   
    YEAH! IT LOOKS LIKE YOUR THE ONE WHO DROVE THAT TRUCTOR TRAILER. YOU CANNOT DESCRIBED ALL THAT'S PROVABLY HAPPENED WITH OUT BEING THE WITNESS.


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