Something much heavier than a car hit the lightpole at a far greater speed, and you want calculations to show that it will still break?
It also hit higher on the pole, crating a moment force as well as the shear forces a car would exert.
Very well.
Plane mass: 100 tonnes = 100,000 kg
Plane speed (conservative): 500 mph
Plane-pole impact height (approximate) = 45 feet
Pole height (representative): 55 feet
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Pole mass (representative): 450 kg
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Pole coupling ultimate tensile strength (representative): 221.5 kN
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Pole coupling yielding strength (representative): 192 kN
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Pole coupling ulimate restrained shear strength (representative): 24.5 kN
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Pole coupling diameter (representative): 1 inche
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Conversions:
Plane-pole impact

= 13.72 m
Pole height (h) = 16.76 m
Plane speed (v
p = 223.52 m/s
Coupling diameter (d) = 0.025 m
Since the plane impact high on the pole, the predominant force will be a moment.
For the pole to break, this moment force must cause more than 221.5 kN of force on the shear pins.
Note that there are typically 4 shear pins per pole. At most, the plane only needs to break 2 at a time.
These pins therefore provide a resistance force of 443 kN, at the base of the pole.
To break the pole, the plane must provide a certain minimum force at its impact point. Now things get fun.
I will assume the dimension ebtween the centre plane of the lightpole and the plane of the couplings is 0.10 m. Feel free to measure a local lightpole and re-do the work, if you wish.
This means the couplings provide a moment of 44.3 kN*m to resist breaking.
At a height of 13.72 m, the airplane need exert only 44.3/13.72 = 73 N of force to break the any two pins.
The plane masses 100,000 kg.
The acceleration caused by this exertion on such a mass is a = F/m = 73/100,000 = 0.00073 m/s
2.
Even if we double the moment by asusming all four pins must break simultaneosly, it still only requires a deceleration of 0.00146 m/s. Hardly noticible.
And at a speed of 223.5 m/s, the plane will only be impacting the lightpoles for a tiny fraction of a second.
The higher speed and higher mass of the plane result in far more force than a car an generate.
And cars have no problem taking out light standards.
I saw a minivan take one out, travelling at about 50 kph. It not only broke the couplings (as designed), but sent the pole flying 30 feet into the air.