Most posts about tires and inflation warn about the problems of inflation being too low but I had a question about high pressure and felt it did deserve a few lines.
"High" pressure is relative.
35 psi might be high or way low, depending on the type tire just as 150psi can also be too low or too high again depending on the type tire and application. The bottom line is that each "type" tire and application has an inflation that we would consider the target. Most of the target inflation are given when the tire is "cold" which means at ambient temperature and not warmed up by running or by being in the sun.
At the extremes we might have a wheelbarrow tire or farm tractor tire which is designed to operate at relatively low inflation. Some farm tires are rated at 12 psi. Some Drag Race slicks are also designed for pressure below 24 psi.
At the other end we find aircraft tires needing 200 psi or more.
For our purposes we can limit our discussion to Passenger tires, Light Truck, Special Trailer and Truck/Bus type tires.
Passenger tires generally have recommended inflations in the range of 32 to 36 psi with some Extra Load tires rated at 41psi cold. If you read the sidewall of many passenger tires you will see a maximum inflation pressure stated on the tire. None of these inflations are the hot inflation so don't set or bleed down the inflation when the tire is hot. Many times the tire is stronger than the wheel and I have seen a few examples of wheels failing at a lower pressure than the tire when we put tires to a test of over inflation and head toward 100 psi+.
LT and ST tires have a number of different Load Ranges such as "C", "D", "E" and some even go to "LR-F"
The actual psi rating for each load range is not the same for all size tires so you must consult the Load & Inflation chart for your specific size tire. The cold inflation is also molded on the tire sidewall. In general you will see inflations range from mid 40's to 80 psi with the LR-F somewhat higher. As with Passenger tires usually the tire is stronger than the wheel but the inflations are still "cold" not hot inflations.
Truck/Bus have higher Load Range and accordingly higher inflations with some at 120 psi range.
The one constant SAFETY WARNING is to not set the cold inflation higher than the rated inflation for your specific tire and Load Range but also do not bleed down Hot tires. Tire Engineers know that tires will heat up and we test our tires at highway speed and above when the tire is fully loaded and design the tires to handle the hot inflation.
Over-inflation tires make for spectacular explosions. A quick search on YouTube shows a number of examples .
Sometimes it is the wheel that fails.
Improper inflation can kill.
In general we see that new tires are capable of handling from 200% to 700% of the cold inflation molded on the tire sidewall when we do a burst test in the lab. With that large of a range there is no single number I can provide. The other thing to remember is that internal structural damage from pot-holes and curbs and road trash as well as simple age can reduce the maximum strength capability of a tire so this compounds the problem of providing a maximum safe cold inflation other than that molded on the tire.
Do not exceed the maximum inflation identified on the tire or wheel.
All inflation specs are COLD i.e. Ambient inflations
Confirm the max load on each tire will never exceed the load capability for your "set" cold inflation per the published tables.
DO NOT bleed down hot tires
If unsure, let a professional tire service person mount and inflate your tires on the wheels.