Tire PSI
If you have other sizes on the car, then it's best to go from the gawr numbers shown on the sticker and published load/tire pressure charts. If the manufacturer of your tires has a chart for your tires, go from that. If that's not available, go from the "industry standard" charts from the Wheel and Tire association. Generally you can find those with an online search for "tire pressure chart" followed by the exact tire size (including the "P" if it's present before the section width number).






Even though tire compounds have changed, air hasn't, and new tires have about the same interior volume as 1980s tires.
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Tire size has a major bearing on the primary consideration for tire pressure recommendations. That primary engineering point for the recommended tire pressure is load capacity. Once load capacity is safely met (with an adequate margin of safety above GAWR), there may be increased adjustments for the cars top speed, because higher speeds require higher operating pressures to prevent the tire from overheating due to sidewall flex. There may also be small adjustments upward for fuel economy (CAFE requirements) reasons. And there's always a "margin of safety" above the minimum required by the GAWR.
I'm not sure about what the load capacity of a wheel barrow tire at 32psi is. It's definitely much lower than on any automotive tire that would fit a C4 Corvette. But let's just look at C4 Corvette tires. For a 1995 model, the stock front tire (255/45R17) can support 1,488 per tire at 32psi. The rear tire (285/40R17) can support 1,587 pounds per tire at 32psi.
Now, if you go +1 on the wheel size and run 18" tires, the 255/40R18 size can only support 1,378 pounds per tire at 32psi, and you'll probably want to increase the tire pressure to 35psi to get close to the same load capacity as the stock wheel/tire package. 35 psi gives a load capacity of 1,477 pounds per tire. On the rear, the 255/35R18 inflated to 32psi only supports a maximum load of 1,455 (SL rated tire) to 1,462 (XL rated tire) pounds, again, significantly less than the stock wheel/tire combo. Again, back there you'd want to increase the tire pressure, possibly as high as 36psi, for 1,609 (SL) or 1,606 (XL) pounds of load capacity.
Those numbers come from an industry standard set of charts/tables, but you can see most of them at https://tirepressure.org. Here's a direct link to the 255/45R17 pressure chart. https://tirepressure.org/255-45r17 and the 285/40R17 chart is at https://tirepressure.org/285-40r17 Those industry standard charts generally apply to most consumer automotive tires, with a few exceptions. If the tire you're using has non-standard construction of some type, for example, additional sidewall plies, then the tire manufacturer probably can give you a specific chart for their tires. If the tire manufacturer doesn't have a chart specific to your tire model, and the tires meet all the markings in the standard charts (SL/XL and the load index numbers match as well as the size, and the leading "P" or "LT" if present), then the industry standard chart should apply.
From the load requirements, for vehicles driven at high speeds with higher speed rated tires, there are minor upward tire pressure adjustments for speed. For example, for a "W" rated tire, you add 3psi for speeds up to 130mph, or as much as 7.5 psi for speeds over 150mph. Over 150mph, there's also a reduction in load capacity rating for W speed rated tires.
Finally, you should never exceed the maximum cold pressure on the sidewall, so in heavier vehicles. That upper limit that can restrict your top safe speed below the absolute speed rating of the tire on some heavier vehicles.
If you over inflate tires for the load for whatever reason (maybe to "stiffen the sidewalls" and make the tires less "squishy"), you'll also cause the tires to wear unevenly, and there can be other issues caused by the over-inflation.
















