While thinking about the solar panel mounts I started to have some concern/curiosity about the vertical CoG of the combined truck/camper (yes I realize this could have been analyzed earlier). I have downloaded the body builder's manual for the 2006 Isuzu N series and located the correct pages relating to CoG. I am not concerned right now with horizontal CoG but rather vertical CoG as it would affect sway and possible rollover.
The first inclination is "eh, it will be alright" but that is not how I roll. So...
*Danger* Math Ahead, Proceed With Caution
The important number is the VCg or total average vertical center of gravity of the complete truck/camper. To calculate this you use the formula:
VCg = (Mv + Mb + Mp + Me) / (Wv + Wb + Wp + We)
Where Mv is the moment of vehicle, Wv is the weight of vehicle, Mb is the moment of body (flatbed in our case), Wb is the weight of the flatbed, Mp is the moment of payload (camper), Wp is the weight of the camper, Me is the moment of equipment (we will call it solar panels/frame for this), and We is the weight of equipment.
With me so far? Amazing. Shouldn't we be discussing dry rot or something by now? Anyway, continuing...
From the body builder's guide, our Isuzu NRR with 176" WB has a vehicle weight of 6184 pounds and the distance from the ground to the vertical CoG of the vehicle itself is 18.9" (the 176" WB has the lowest CoG, so that is nice)
We can then calculate the moment of the vehicle Mv = 6184 x 18.9 = 116878 lbs-in
For the weight of the flatbed, we know the last time we went over the scales the truck weighed in at 8700 pounds. Since the bare truck is 6184 pounds, the flatbed must weigh about 2516 pounds. The distance from the ground to the top of the flatbed is 41" and if we use this as the distance to vertical CoG it should be a very conservative guess even though the headache rack is much taller. Most of the mass is actually below the 41".
We can now calculate the moment of the flatbed Mb = 2516 x 41 = 103156 lbs-in
The combined VCg for just the truck and flatbed is
(116878 + 103156) / (8700) = 25.29 inches
So far so good. The body builder guide says the max VCg for the entire vehicle/body/payload should not exceed 63 inches. At least now we know the empty truck and flatbed shouldn't tip over
🙂Now the hard part. I have NFC what the weight or vertical CoG distance is for the camper. I can't load it up on the truck yet and drive to the scales, plus we have not installed the batteries, inverter, sofa, cabinets, etc.
What I can do is figure out what the maximum camper weight and vertical distribution can be to still keep the vertical CoG under 63" for the entire truck/camper. I will still have to make some assumptions but at least it will be something to keep in mind until I can figure out a way of better estimating the actual weight and distribution.
Assume we keep most of the mass in the camper low, we might expect the vertical CoG to at least be less than half the height of the camper. Our camper is 8 feet tall, so we will plug in 48" + 41" = 89" for the vertical distance to CoG. This now leaves just one variable Wp which is the max weight the camper can be at that 89" vertical CoG distance for the entire unit vertical CoG distance to stay under 63".
So we have the formula:
63 = (116878 + 103156 + Wp*89) / (8700 + Wp)
(Sorry for the aneurysm but you were getting on in years anyway.)
Solving for Wp we get Wp = 12618 pounds
Wow, is that right? So if we keep the camper CoG at least distributed so the vertical distance from the ground to the camper CoG is no more than 89" we can have a 12,000 pound camper?!?
Lets double check those numbers by plugging 12,618 and 89" into the VCg formula:
Mp = 12,618 x 89 = 1123002 lbs-in
VCg = (Mv + Mb + Mp) / (Wv + Wb + Wp)
VCg = (116878 + 103156 + 1123002) / (8700 + 12618)
VCg = 63 inches
Relief. Since I know our camper is nowhere near 12,000 pounds and I believe the mass will be distributed more in the lower section, I think we can proceed with our solar panel mount on the roof even if it ends up being several hundred pounds at 12 feet high.
(hello to my wife, the only one who could have possibly read this far)