BLUF (bottom line up front): LX OEM spring rate 58 lb/in and KTRS-79 is 130 lb/in.
uHu Thanks for the equation. Assuming that equation is correct which it seems to be, I did some math to compare the spring rate of the OEM LX spring and the King Springs KTRS-79. Then I made gross assumptions about my vehicles weight distribution and assumed a linear relationship of how the load is bared to see how much more spring would be needed to neutralize the effects of the added armor weight on the AHC system. What I came up with is if you add 1000lbs of armor and gear plus 800lbs of people and camping equipment, the KTRS-79 should be able to handle that with room to spare.
Below is the math I used if you care. I have purchased these and am waiting for them to arrive and install them on my LX so this is only theoretical and definitely makes some liberal assumptions. I got the springs from here
New King Springs Suspension Standard Rear Springs KTRS-79 fits Lexus LX 470 for $188 ($137 + $51 shipping) if you anyone else is curious (no affiliation just the cheapest I could find including shipping. King Springs can sell them to you directly but their shipping was significantly more.) This discussion assumes your AHC is working properly and your front pressures are correct. I do not know what the unintended consequences are though in relation to ride quality, handling or articulation. The question was asked what the KTRS spring rate is so here it is and how I interpreted it in relation to using spring rate to compensate for added weight with AHC.
I emailed King Springs about the dimensions of the KTRS-79 spring and this is what they sent back. I converted the mm to inches myself.
Wire Diameter - 14.5mm (.5709in)
Internal Diameter 140mm (5.5118in)
Free height of coil - 430mm (16.9291in)
Spring rate - 130lb/in
Number of coils – 6.5
Here is a synopsis of the link from above uHu sent for the spring rate equation:
k=(d^4G)/(8D^3N)
k = spring rate
d = wire diameter
D = coil diameter
G = the sheer modulus of the spring steel
N = the number of active coils
Since they sent the spring rate I didn’t really need the equation for that but I did need to find out what they used for G. I solved for G and got 10,655,819 (unknown what unit of measure this is).
Using that information, I calculated the spring rate of the LX oem spring since after scouring Mud and the net I could not finding it anywhere. Here are the numbers I used in the LX equation. I got these numbers from searching Mud, the internet, and rough measurements of the oem springs on my LX.
LX OEM
d = .485in
D = 6.1417in
G = 10,655,819 (I used the same the G as the KTRS for simplicity. If you use 11,500,000 instead it adds 5 lb/in)
N = 5.5
If I got those numbers right, the spring rate for the oem LX rear left hand spring is k = 58 lb/in.
If I remotely got this math right that would mean the KTRS-79 is more than twice as strong as the stock spring. Which led me to my next question, will that be enough for the extra weight? Assuming the stock LX weighs 7000lbs (ish) and my armored LX weights 8000lbs (not actually measured), that would mean the spring rate would need to increase by 14.2857% (8000/7000 = 1.142857). That assumes the armor puts an equal amount of weight on all four corners. That obviously depends on your setup but for me front and rear bumpers are about the same, the sliders are exactly in between the wheels, and the more forward skid plates offset the more aft roof rack. Getting the distribution perfect exceeds my level of nerding out for one thread so I am calling those even.
So the 14% increase covers the armor. Now put 800 more pounds of gear in the back/on top. Let’s say worst case the rear suspension handles all of that. Assume the stock vehicle carried 1750lb per wheel (7000/4=1750) and that 800 is split per wheel to 400lbs. That requires a 37.3% increase in spring rate which comes to 80lb/in.
So with all that, it would seem theoretically that the King Spring could handle armor, people, gear, and possibly something on the hitch and keep the pressures in spec. The negative consequence I feel could be if you don’t carry a bunch of extra weight it could have the inverse effect making the pressures too low or the articulation too stiff. From what I have read on the forums it seems like most people with weight and/or trailer seem happy with their choice of the King Spring. I was also curious if OME made a spring that could do this. Based on this chart
Cruiser Outfitters, I don’t see a comparable OME spring to the KTRS-79 using my limited knowledge to compare them. Let the questions and spears through the holes in my research fly. I have no doubt I have missed something here but potentially could be a good start.