# Tooth Tips: Donald R. McVittie P.E.

While gear-load capacity should always be worked out very carefully in advance of production, there are a few

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What load can you expect a gear set to carry? An accurate answer would be too complicated for this column, and while a simple answer won’t cover all of the possibilities, it can be useful to check gear size. Here, then, is a simple way to estimate gear capacity as it is limited by resistance to pitting failures.

In this simple system, pitting capacity is determined by pinion size (pitch diameter, gear ratio, and face width), gear material, and speed. The chart is drawn for a 3:1 gear ratio and a pinion face width that’s 80 percent of its pitch diameter. Capacities are proportional to face width. Face widths less than 50 percent or more than 100 percent of the pitch diameter shouldn’t be used with this chart, because misalignment can reduce capacity. The chart doesn’t work for cantilever-mounted gears or pinions.

Three materials are shown, ranging from 179 BHN through-hardened to carburized steel. The chart assumes 600 pinion rpm; for moderate speeds (up to about 1,800 rpm), capacity is directly proportional to speed. The chart is for spur gears; typical helicals will have at least 30 percent more capacity than spurs of the same size and material.

The capacities shown are in the middle of usual industrial practice, for fairly steady loads and moderate life. Capacities for steady load and short life (second gear in a tractor transmission, for example) could be twice as high, while a rock crusher or long-life turbine drive gear might be rated at half or less of the charted values. For 2:1 ratio, increase the chart values by 25 percent; for 6:1 ratio, decrease the values by 30 percent.

Example: for a 4″-pitch-diameter pinion, 3.2″ wide and made of 321 BHN steel, the chart shows a capacity of 68 HP at 600 rpm. It’s obvious that the choice of materials makes a big difference. This 4″ pinion can vary from 28 to 128 HP at 600 rpm, depending on material selection alone. If it’s to be used in a tough, long-life application at 1,150 rpm, this rating would be reduced to approximately: (68 x .5) x (1,150/600) = 65 HP.

If the same pinion were made helical and the ratio changed to 2:1, its capacity would increase to approximately: (65 x 1.30) x 1.25 = 106 HP.

Caution: This simple system is not a substitute for gear engineering. It is only intended to give a “first guess” at gear capacity. The final details need to be worked out with someone who is familiar with gear design and manufacture.

On another–and less complicated–note, misalignment of an overhung pinion is easy to understand, but sometimes we see signs of misalignment even though the gear and the pinion are both supported between bearings. Pitting failure that extends only halfway across the tooth face is a sure sign of misalignment under load. What caused the misalignment? The key lies in the words “under load.” Here are some possibilities:

• Bending of the pinion shaft. If the center of the pinion is not in the center of the bearing span, any bending deflection of the pinion shaft will cause a slope, forcing the load toward the end of the pinion closest to the bearing. Figure 2 illustrates this.
• Twisting of the pinion shaft. Heavily loaded, slender pinions “wind up” under load, forcing the load toward the end of the pinion closest to the input.
• Poor adjustment of tapered roller bearings.
• Bearing wear.
• Case deflection due to poor foundation or heavy load.
• Manufacturing error in the case or gears.In any case, it must be fixed, because if the misalignment is allowed to persist, the teeth will fail.

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is the president of Gear Engineers, Inc., and longtime board member of The Gear Works-Seattle, Inc. The Gear Works-Seattle, Inc. is a full-service gear manufacturing facility providing precision gear products and power transmission services. For more information on "Tooth Tips", contact Donald R. McVittie at 206-783-3919, or send email to gearengr@mcvittie.com or Roland Ramberg at 206-762-3333, or send email to rramberg@thegearworks.com. Visit online at [www.thegearworks.com]