These experiments seemed to show that the principal resistance to straight belts was journal friction, except at very high speeds, when the resistance of the air began to be felt. The resistance from stiffness of belt was not apparent, and no marked difference could be detected in the power required to run a wide double belt or a narrow light one for the same tension at moderate speeds. With crossed and quarter-twist belts the friction of the belt upon itself or upon the pulley in leaving it was frequently an item of more importance, as was shown by special experiments for that purpose.
In connection with the experiments upon internal resistances, some interesting points were noted. Changes in tension were made while the belt was running, commencing with a very slack belt and increasing by definite amounts to the working strength. As this point was approached, it was found necessary, to maintain a constant tension, that the tightening bolt should be constantly operated on account of stretch in the belt. Then, again, as the tension was reduced from this limit, it was found that at lower tensions the belt would begin to shrink and tighten for a fixed position of the sliding frame. This stretching and tightening would continue for a long time, the tightening being, of course, limited, but the stretching indefinite and unlimited.
The first series of experiments was made upon paper-coated pulleys 20′′ diameter, which carried an old 51⁄2′′ open belt 3⁄16′′ to 1⁄4′′ thick and 34 ft. long, weighing 16 lbs. The arc of contact on the pulleys has been calculated approximately from the tension on slack side, and for this purpose the width and length of the belt were taken. The percentage of slip must be considered as equally divided between the two pulleys, and from observations made it is easy to calculate the velocity of sliding when the speed is given.
Some of the most important results obtained with this belt are given in [Table I.] in which the experiments have been selected to avoid unnecessary repetition. In all cases the coefficient of friction is shown to increase with the percentage of slip. The adhesion on the paper-covered pulleys appears to be greater than on the cast-iron surfaces, but this difference may possibly have been due to some change in the condition of the belt surfaces.
After a fresh application of the belt dressing known as “Beltilene,” the results obtained are even higher on cast iron than on paper surfaces, but after a time it was found that the adhesive property of this substance became sensibly less and less. Flakes of a tarry nature rolled up from the belt surface and deposited, themselves on the pulleys, or scaled off.
So much was found to depend upon the condition of the belt surface and the nature of the dressing used, that the necessity was felt for experiments upon some standard condition which could be easily realized and maintained. For this purpose a belt was taken from a planing machine when it had become perfectly dried by friction. The results of experiments upon this belt are given in [Table II]. When dry, as used on the planer, the coefficients for any given percentage of slip were much smaller than those given in [Table I]. This was naturally to be expected, and the experiments were continued to note the effect of a belt dressing in common use, known as “Sankey’s Life of Leather,” which was applied to the belt while running. At first, the adhesion was very much diminished, but it gradually increased as the lubricant became absorbed by the leather, and in a short time the coefficient of friction had reached the unprecedented figures of 1.44 and 1.37.
TABLE I.
STRAIGHT OPEN BELT 51⁄2′′ WIDE BY 7⁄32′′ THICK AND 34 FT. LONG, WEIGHING 16 LBS., IN GOOD PLIABLE CONDITION, WITH HAIR SIDE ON PULLEYS 20 IN. DIAM. RUNNING AT 160 R. P. M., OR ABOUT 800 FT. PER MINUTE.
| No. of Exper- i’nt. | Sum of Tensions T + t | [41] T - t Work- ing. | [41] T | [41] t | [41] T ⁄ t | Per- cent- age of Slip. | Velocity of Slip in ft. per minute. | Arc of con- tact. | Coef- ficient of Friction. | Remarks. | ||||||||
| Initial. | Work- ing. | Final. | ||||||||||||||||
| 17 | 200 | 210 | 100 | 155 | 55 | 2 | .82 | .4 | 1 | .6 | 177 | ° | .336 | Paper-covered pulleys. | ||||
| 19 | 220 | 140 | 180 | 40 | 4 | .50 | .6 | 2 | .4 | 176 | .490 | |||||||
| 21 | 246 | 180 | 213 | 33 | 6 | .45 | 1 | .2 | 4 | .8 | 175 | .610 | ||||||
| 22 | 260 | 200 | 230 | 30 | 7 | .67 | 2 | .6 | 10 | .4 | 174 | .671 | ||||||
| 23 | 270 | 180 | 220 | 245 | 25 | 9 | .80 | 7 | .9 | 31 | .6 | 173 | .756 | |||||
| 24 | 300 | 316 | 200 | 258 | 58 | 4 | .45 | .7 | 2 | .8 | 177 | .483 | ||||||
| 27 | 344 | 260 | 302 | 42 | 7 | .20 | 1 | .0 | 4 | 176 | .643 | |||||||
| 28 | 350 | 280 | 315 | 35 | 9 | 1 | .8 | 7 | .2 | 175 | .719 | |||||||
| 29 | 364 | 300 | 332 | 32 | 10 | .4 | 2 | .8 | 11 | .2 | 175 | .784 | ||||||
| 30 | 380 | 260 | 320 | 350 | 30 | 11 | .7 | 5 | .5 | 22 | 175 | .805 | ||||||
| 31 | 400 | 422 | 200 | 211 | 111 | 1 | .90 | .5 | 2 | 179 | .205 | |||||||
| 33 | 440 | 280 | 360 | 80 | 4 | .50 | .8 | 3 | .2 | 178 | .484 | |||||||
| 35 | 470 | 360 | 415 | 55 | 7 | .54 | 1 | .1 | 4 | .4 | 177 | .654 | ||||||
| 36 | 506 | 400 | 453 | 53 | 8 | .54 | 2 | .1 | 8 | .4 | 177 | .694 | ||||||
| 37 | 520 | 380 | 420 | 470 | 50 | 9 | .40 | 5 | 20 | 177 | .725 | |||||||
| 60 | 200 | 205 | 80 | 147 | .5 | 67 | .5 | 2 | .18 | .5 | 2 | 178 | .251 | Cast-iron surfaces. | ||||
| 61 | 210 | 100 | 155 | 55 | 2 | .82 | .9 | 3 | .6 | 177 | .336 | |||||||
| 62 | 215 | 120 | 167 | .5 | 47 | .5 | 3 | .52 | 1 | .7 | 6 | .8 | 177 | .407 | ||||
| 63 | 220 | 140 | 180 | 40 | 4 | .50 | 3 | 12 | 176 | .490 | ||||||||
| 65 | 246 | 180 | 180 | 213 | 33 | 6 | .45 | 12 | 48 | 175 | .610 | |||||||
| 66 | 300 | 300 | 120 | 210 | 90 | 2 | .33 | .5 | 2 | 179 | .270 | |||||||
| 68 | 310 | 160 | 235 | 75 | 3 | .13 | .8 | 3 | .2 | 179 | .365 | |||||||
| 69 | 315 | 180 | 247 | .5 | 67 | .5 | 3 | .67 | 1 | 4 | 178 | .418 | ||||||
| 70 | 320 | 200 | 260 | 60 | 4 | .33 | 1 | .7 | 6 | .8 | 178 | .472 | ||||||
| 71 | 325 | 220 | 272 | .5 | 52 | .5 | 5 | .19 | 2 | .6 | 10 | .4 | 177 | .545 | ||||
| 72 | 340 | 240 | 290 | 50 | 5 | .80 | 3 | .8 | 15 | .2 | 177 | .569 | ||||||
| 73 | 350 | 260 | 305 | 45 | 6 | .77 | 5 | .5 | 22 | 176 | .623 | |||||||
| 74 | 360 | 280 | 320 | 40 | 8 | 8 | .6 | 34 | .4 | 176 | .677 | |||||||
| 75 | 375 | 300 | 337 | .5 | 37 | .5 | 9 | 15 | .2 | 60 | .8 | 175 | .719 | |||||
| 76 | 400 | 420 | 200 | 310 | 110 | 2 | .82 | .6 | 2 | .4 | 179 | .336 | Belt dressed with “Beltilene.” | |||||
| 78 | 460 | 280 | 370 | 90 | 4 | .11 | 1 | 4 | 179 | .452 | ||||||||
| 81 | 480 | 340 | 410 | 70 | 5 | .86 | 1 | .5 | 6 | 178 | .569 | |||||||
| 84 | 510 | 400 | 455 | 55 | 8 | .27 | 2 | .2 | 8 | .8 | 177 | .684 | ||||||
| 86 | 535 | 440 | 487 | .5 | 47 | .5 | 10 | .2 | 4 | .5 | 18 | 177 | .760 | |||||
| 88 | 560 | 385 | 480 | 520 | 40 | 13 | 8 | .4 | 33 | .6 | 176 | .834 | ||||||
| 89 | 300 | 320 | 120 | 220 | 100 | 2 | .20 | .4 | 1 | .6 | 179 | .252 | ||||||
| 93 | 350 | 200 | 275 | 75 | 3 | .67 | .8 | 3 | .2 | 178 | .418 | |||||||
| 97 | 390 | 280 | 335 | 55 | 6 | 1 | .6 | 6 | .4 | 177 | .580 | |||||||
| 101 | 440 | 360 | 400 | 40 | 10 | 3 | .1 | 12 | .4 | 176 | .750 | |||||||
| 104 | 470 | 310 | 420 | 445 | 25 | 17 | .8 | 8 | .6 | 34 | .4 | 173 | .953 | |||||
[41] T represents the tension on the tight part, and t on the sag part of the belt.