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An Engineering Problem

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An Engineering ProblemA backhoeweighing 8 tons is on top of a flatbed trailer and heading easton Interstate70 near Hays, Kansas. The extended shovel arm is made ofhardenedrefined steel and the approaching overpass is made ofcommercial-gradeconcrete, reinforced with 1 1/2 inch steel rebar spaced at 6 inch intervalsin a criss-cross pattern layered at 1 foot verticalspacing. Assuming no effect for headwind and no brakingby the driver, how fast do you have to begoing to slice the bridge in halfwhen the shovel arm hits the overpass? Find clue below Thephotographs displayed above capture the aftermath of an accident that occurredon the evening of 13 February 2006 on Interstate 70 near Hays, Kansas. Thedriver of a semi-tractor trailer that was hauling a track hoe excavator on aflatbed misestimated the clearance at an overpass, and the boom of the hoecollided with the overpass and knocked a 45-foot gap through the deck of thebridge. The accident forced an 11-day closure of the eastbound lanes ofInterstate 70. (The bridge itself remained closed even after the highwayreopened.) The driver of the rig was uninjured, although he was latercited for not having clearance to drive on the interstate. The Kansas Departmentof Transportation said the construction company for which the driver workedwould be liable for the cost of repairs to the overpass, which were estimated at$134,000 as of late March 2006.

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