So for example if you have Class F insulation, that's 105C over a 40C ambient with a 10C hot spot, so the total max temperature is 155C. If your ambient is 60C, then the max rise can only be 95C at a hot spot or 85C overall. So did that motor ever exceed an 85C rise? No way to know without some sort of real temperature sensor in the motor
If you knew the loading you could make an educated guess (hence my request for info). You'd have to make some assumptsion. First have to make assumption about ratio of no-load losses to full-load load-related losses (1:1 seems in the ballpark, test data sheet would sharpen the estimate). Assume the load-related losses vary proportional to current squared and that the temperature rises are proportional to the losses. For conservative assumption, assume the "hot spot rise" is constant.
For your example above we can estimate
dT/dTrated = 85/105 >= 0.5 + X^2 where X is fraction of full load current
X <= sqrt(85/105 - 0.5) = 0.55
If motor operates below 55% FLA, I wouldn't be worried….
Constant hotspot rise is a conservative assumption (it would decrease at lower load)
Temperature rise proportional to losses is accurate for conduction temperature drop (through the depth of the insulation) but I think it's conservative for convection.
If there is service factor specified we could sharpen the pencil to get a little higher limit.
There's a lot of assumptions in there, but would get you a rough idea. And for benefit of op, none of this is an exact science anyway… it's not like the motor is guaranteed to operate reliably at 1 degree below rated and fail at 1 degree above the rated temperature. For older thermoplastic insulation systems (asphaltic) the aging was predicted by Arhennius… 10C above rated temperature only means the insulation system thermally ages twice as fast as it otherwise would during the period of that overload (so short duration overloads are not huge concern). Newer thermosetting insulation systems (epoxy and polyester) tend to have more of a threshhold temperature where cured resin chracteristics changes so there is not as much basis for predicting capability beyond rated without knowing something about the insulation system.
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(2B)+(2B)' ?