sounds like you have a good plan here. industrial computer cases are good HD metal boxes, the right size for the application, and are available for small amounts of $$$.. check with GT_80 and see if he has any extras kicking around
The math, yeah. Think of the rear axle as a teeter- totter pivot. Weight placed on one side of the pivot must be balanced by an equal weight on the other side. Think foot pounds of torque. Even close in to the axle requires an effectively equal weight on the other side, so the weight load on the axle is double what you put behind it, whether it's the tiller far behind or the weight box close in.
But...200lbs close to axle is less than 200 two feet back. the further back it is, the less weight is on the front wheels, therefore more load on the rear end. I had to put 100 lbs on the front so i could come up out of my back yard with the tiller on. If the tiller were another foot or so rearward it would probably need more weight in front. Also, as im sure everyone knows, the wheel weight shouldn't be factored in with the load carrying limit of the rear. that should leave it safe with 200 lbs in a box. still easier on parts than the tiller.
Teeter totter effect. A 50 lb. child can lever a 200 lb. adult up in the air by being a tiny bit over 4 times the distance from the pivot (fulcrum) as the adult, but the actual load on the fulcrum is 400 lb., not 250 lb.The math, yeah. Think of the rear axle as a teeter- totter pivot. Weight placed on one side of the pivot must be balanced by an equal weight on the other side. Think foot pounds of torque. Even close in to the axle requires an effectively equal weight on the other side, so the weight load on the axle is double what you put behind it, whether it's the tiller far behind or the weight box close in.
But...200lbs close to axle is less than 200 two feet back. the further back it is, the less weight is on the front wheels, therefore more load on the rear end. I had to put 100 lbs on the front so i could come up out of my back yard with the tiller on. If the tiller were another foot or so rearward it would probably need more weight in front. Also, as im sure everyone knows, the wheel weight shouldn't be factored in with the load carrying limit of the rear. that should leave it safe with 200 lbs in a box. still easier on parts than the tiller.
The actual distance behind the axle means nothing as far as the weight carried by the axle is concerned. It will be double whatever is hooked up, whether it be a 200 lb. weight box bolted to the back of the tractor or a 200 lb. tiller 3' behind the axle, the extra load on the axle is 400 lb.
Due to the longer lever from the fulcrum (rear axle) to the front of the tractor, less weight is required at the front of the tractor to counterbalance the weight box close to the axle than the tiller which is quite a bit further back. If you put an extension on the front end, as is sometimes done with field tractors, less counter weight woud be required for the same effect resulting in a slightly lower weight for the tractor overall, but still the same load on the rear axle.
You're right! I was trying to keep it simple since a lot of guys think they are only adding 200 lb. to the rear axle in this scenario. In actual fact what we should be talking about is the torque load placed on the rear axle by this added weight and the resulting torque load coming from the front of the tractor to counterbalance the load. These things don't steer worth a darn with the front wheels in the air so we add weight to the front to help with the counterbalancing.I dont mean to argue, but lets say my tractor weighs 600lbs, and assume perfect balance 300 ft and 300 rear, now i add 200 to the rear and adjust it rearward until it picks the front tires up slightly.. i then have 800 lbs rear axle weight and 0 front. therefore my 200 lb tiller 3ft behind axle centerline places more weight on the rear than his 200lb box just one ft behind.