This article was posted 08/03/2006 and is most likely outdated.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
  • It is disgraceful that obvious Civil Engineers are pontificating over this issue. Unfortunately gentlemen this is an aero/me crossover problem and requires sophisticated analysis of adiabatic air flow principles as found in Ascher Shapiro advanced fundamnetals of air flow

    This analysis revolves around the fundamentals of lift itself 1/2 pv2 A.

    Analysis as follows: The tractor was traveling at 62.5 mph this basic calculation is the impulse of the tractor and its backhoe being absorbed by the friction coeficcient of steel on concrete a widely know factor of 20 slugs per inches per inch t.

    Added factor as the backhoe progressed down the highway the inverted bucket caused down force on the tractor trailer lowering its height but more importantly causing the bucket itself to press downward. As the tractor approached the overpass the down force was blocked by the bridge causing the loss of airflow over the buchet(inverted) and thus lift not downforce was created causing the bucket to smash upward through the bottom of the bridge abutement. The delay in airflow is the reason why the bucket popped up AFTER the tractor was under the bridge missing the guardrails.

    the author is a mechanical/aero major and a lawyer so this must be correct Dick Engel

    Dick Engel

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