For protection, the barrel barrier is placed in front of a bridge pier. The relationship between the force and deflection of the barrier is as given in the plot. For a car weighing 4000 lb and travelling at 50 mph as it first impacts the barrier, find the penetration of the car into the barrier. Note: One interpretation of Up = f F. dr is that work is the area under the force-deflection curve. F (lb) F=90(10) ¹/2 -x (ft)

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
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3. For protection, the barrel barrier is placed in
front of a bridge pier. The relationship
between the force and deflection of the
barrier is as given in the plot. For a car
weighing 4000 lb and travelling at 50 mph as
it first impacts the barrier, find the
penetration of the car into the barrier.
Note: One interpretation of Up = fF.dr is
that work is the area under the force-deflection
curve.
F (lb)
F=90(10)³x¹/2
-x (ft)
Transcribed Image Text:3. For protection, the barrel barrier is placed in front of a bridge pier. The relationship between the force and deflection of the barrier is as given in the plot. For a car weighing 4000 lb and travelling at 50 mph as it first impacts the barrier, find the penetration of the car into the barrier. Note: One interpretation of Up = fF.dr is that work is the area under the force-deflection curve. F (lb) F=90(10)³x¹/2 -x (ft)
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