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Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/24/2010 1:40 AM

I had seen a simular discussion on this subject but this is interesting.

I was northbound crossing a traintrack in my 1/2 ton truck pulling a car hauler trailer. looking west then east I proceeded north, but upon hearing a noise I looked out back window and to my surprise I saw the bottom of a trains headlight as it broadsided me. the 45 cars and 4 engines weighed 9,400,000 lbs and was traveling 40 MPH according to police report. I would like to know how to calculate the force I was hit by. Believe it or not, I survived with all my parts intact. There is only a 2% survival rate with 95% of survivors losing a limb or brain dead. Guess It was my lucky day, sorta. Pulling the trailer is what saved my life. As the cattle guard lifted me, the force caused the ball hitch to finally break and the sudden release caused me to be thrown down the embankment out of harms way, sorta. Would love some help with formula.

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#1

Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 2:30 AM

How many points of articulation would you include?

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#6
In reply to #1

Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 11:03 AM

only 1 but it would have no effect except to hold truck in air as frame stretched, then releasing its own energy, flinging my truck away from cattle guard. usually you roll in front of guard til metal catches on rails then you roll and crush beneath the guard, then the wheels.

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#2

Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 2:56 AM

F=Force

m=mass

a=acelleration

F=m*a

but in your case it's;

slodl over F=m*a.....meaning S#it Load Of Dumb Luck / (F=m*a)

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#3

Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 3:15 AM

Within a few milliseconds, you could have been accelerated to 40mph ≈ 59ft/s, the speed of the train. Let's guess that was accompanied by 4 feet of crushing of your rig, which would have taken 4/59 ≈ 0.068s. 59ft/s ÷ 0.068s ≈ 868 ft/s2. One g ≈ 32 ft/s2, so this would have been about 27g! If your total rig weighed 10,000 lb, this would equate to 270,000 lbf. You might have been thrown clear before this, in which case the force and acceleration could have been less. So pop your eyeballs back in, dust yourself off, and walk away? Thank goodness--you were indeed lucky. [Some of those guesses were mighty rough, so we could entertain some other thoughts.]

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#4
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Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 10:16 AM

Very good estimations (in my opinion) based on information provided. I would think there would be some other factors involved that helped save the drivers life. Perhaps the vehicle rolled up onto one side a bit thereby increasing Δt and lowering the force caused by the sudden acceleration.

Drew

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#5
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Re: calculating, (formula), for force at impact of semi stationary object

12/24/2010 10:54 AM

thanks for response, truck n trailer total weight approx. 5500 lbs. the frame rails were pulled together at rear of truck, tow package pulled straight, finally ball snapped off truck allowing it to roll over on me and drive me to bottom of embankment, my body stopping in nich at bottom, saving me from complete crush. truck was crushed at impact.

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#7

Re: Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/25/2010 12:50 AM

You are one very lucky individual!! I come from a railroading family and my Dad once commented that with the tonnage they were pulling, it takes over a mile to stop a train from 60 miles per hour. With 4 units and only 45 cars, it sounds like they were hauling coal or something equally heavy. Important thing though is that you survived.

Bill

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#8
In reply to #7

Re: Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/25/2010 9:19 AM

newspaper said weight was 9.400,000 lbs going 40 mph. With these 2 parts of the equation force at impact should be fairly easy tp calculate. Maybe someone in your family would have an answer for me, one lucky sob !! thanks

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#9
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Re: Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/25/2010 9:55 AM

I hope you went out and bought a lottery ticket with luck like that.

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#10

Re: Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/25/2010 11:23 AM

Glad you made it out that wreck in one piece! You are one lucky son of a gun!!!!

If it was me, I think I would have found the first watering hole I stumbled upon and would have downed a few stiff ones just to calm my nerves down somewhat....then would call a taxi to take me home! YIKES!!!!!!!!!!!!!!

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#11

Re: Calculating, (Formula), for Force at Impact of Semi Stationary Object

12/26/2010 2:03 AM

Perhaps start at how far away the train was when you 'looked' and how long it was until you were "T boned"?

I.e more, or less, than 60 ft?

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