You should have a sticker or plate on the side at or near the left front corner of your rig. It should give you the weight capacity of the axles. From your weights, and age of your rig, you probably have 6,000 lb axles, but you must rely on the sticker, unless the axles were replaced in the past. You do not use the entire GVWR of a 5th wheel trailer to determine the load on the axles, because approximately 20-25% of the rig's weight is supported by the kingpin, which is in turn supported by the tow vehicle, so somewhere between 2,832 lbs to 3,540 lbs will be carried by the tow vehicle. That puts your weight on the axles at less than 6,000 lbs per axle. That makes your tire selection easy, you can go with ST (special trailer) or LT (light truck) tires. Many people on this forum and others find LT tires hold up quite well on their rigs, and you have a much better selection to choose from. You obviously have tires on there now, and if you have been happy with them, that is a starting point. Good luck.
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Bob & Becky
2012 3402RL
2012 Chevy 2500HD D/A CC 4WD
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