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How do I calculate this?

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How do I calculate punching a thing that is built into a wall, like glass panes, huge exhaust fans etc. making it fly far away, assuming that the character doesn’t break it into pieces, either just denting it or removing them from the wall.
 
I don’t have an example but it’s similar to kicking/punching a door down, expect there are no hinges, locks and all that, basically the thing is built into the wall, like the huge exhaust fan, there are other things like railings, signboards etc. but im looking to calculate punching the exhaust fan far away, some small parts of the wall that holds the thing might be destroyed too
Could you show an example?
 
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I don’t have an example but it’s similar to kicking/punching a door down, expect there are no hinges, locks and all that, basically the thing is built into the wall, like the huge exhaust fan, there are other things like railings, signboards etc. but im looking to calculate punching the exhaust fan far away, some small parts of the wall that holds the thing might be destroyed too
Like this feat?
 
Forget it, I’ll just draw it out:
So basically the character jumps up to the huge exhaust fan that is built into the wall and punches it 100 meters away, the grey and black thing is the dent and debris of the wall and the yellow things are sparks when the exhaust fan crashes into the ground
 
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Forget it, I’ll just draw it out:
So basically the character jumps up to the huge exhaust fan that is built into the wall and punches it 100 meters away, the grey and black thing is the dent and debris of the wall and the yellow things are sparks when the exhaust fan crashes into the ground
Built in what manner exactly? Is it like fixed between two walls with each of its left and right end fixed to the left and right wall, or is it attached to the wall from the backside [like a picture frame glued to the wall]?
 
Forget it, I’ll just draw it out:
So basically the character jumps up to the huge exhaust fan that is built into the wall and punches it 100 meters away, the grey and black thing is the dent and debris of the wall and the yellow things are sparks when the exhaust fan crashes into the ground
I think the best way to go about this is as such:
  1. Find the cross-section area of the part of the fan that’s connected to the wall in m^2
  2. Multiply that by the shear or tensile strength of whatever material the fan’s made of in pascals to find the force in newtons
  3. Multiply the force by the displacement in meters (in this case, the distance the character’s arm moved) to find joules
I’d recommend looking at this calc for reference as to what I’m talking about.

If that’s not possible for whatever reason, you can always find the KE of the fan or the destruction energy of the dent made in it as an alternative.
 
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I think the best way to go about this is as such:
  1. Find the cross-section area of the part of the fan that’s connected to the wall in m^2
  2. Multiply that by the shear or tensile strength of whatever material the fan’s made of in pascals to find the force in newtons
  3. Multiply the force by the displacement in meters (in this case, the distance the character’s arm moved) to find joules
I’d recommend looking at this calc for reference as to what I’m talking about.

If that’s not possible for whatever reason, you can always find the KE of the fan or the destruction energy of the dent made in it as an alternative.
Thanks for the answer
 
Basically the left, right, top and down sides area fixed to the wall, expect the front and back, for the fan to you know, ventilate like in this picture:

From the picture, it seems to be an industrial exhaust fan [according to google lens]. So for that, you can calculate it like:
Use the formula W : Fd to calculate the work
You can change it to W : mgh, W : mgd or W : wh [small w represents weight] as well.
First, calculate the mass of the fan. If not available, go for the weight directly. From this source, the weight of an average fan is 50kg. [Note, for why it's "Kg" and not N despite it being weight and not mass, read this]

After that, we'll go with calculating the displacement of the fan from its original position to how far it flies off after the punch, and that measurement would be d.

After doing that, we'll also need to calculate how much force the things that are holding the fan in its place to the wall can hold. I think you should be able to get the value for it online on sites of companies that make fans or alike.
Since we assume every action has an equal reaction and vice versa, we'll assume that an equivalent amount of force is needed to even just break those attachments by pushing the fan. We add that force to the already calculated F and than place the net force in the original formula to get the answer.

If distance is not known, but the speed at which the fan flew off is known, you can use the K.E : [1/2]. mass . square of velocity

I'm not a math expert, so this method may be wrong. Therefore, it's always recommended to also ask the experts[calc staff] for confirmation before using it.

Edit: By ":" I'm referring to equal. My equal key is not working so that was my second option.
 
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how do I calculate it?
Just find the Force [as I explained in my prev comment], then the distance the fan was thrown away compared to its original location; put that in the formula, and you'll get W, the work done in joules. From that, you can see what rating it should get based on the joule values described in our AP page.
 
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