Technical Pinion and Gear Force Calculations
The driving force which can be transmitted through a pinion and gear will depend on the tooth (Mod) size, the size of pinion and ring or segment selected, the length of stroke and the desired life.
The table below details the tangential driving force in newtons (N) for all pinion and ring combinations and for a useful range of design lives. The figures assume that the pinion revolves around the complete ring, rather than moving to and fro over just a portion of the ring's teeth. The load capacity for shorter strokes will be lower.
All figures assume ideal lubrication and pinion contact conditions. It is recommended that a safety factor be applied when selecting gear and pinion components. This table is suitable for selection of parts, but please contact Bishop-Wisecarver if a specific calculation is required for a particular application.
For rack-cut track systems using single edge straight slides, the max driving force will be the same as for the largest diameter RI... ring which has the matching section size.
Max Working
Pinion Part Number
SSP04 W3.5 T42
Used with Ring
SSP07 W9 T28 SSP08 W4 T48 SSP08 W6 T48
P10 W11 T42 & SSP10 W11 T42
R12 93 R12 127 REV 156 REV 223 RIV 161 RIV 228 R20 143 R20 210 R25 159 R25 255 R25 351 RES 184 RES 280 RES 376 RIS 182
Tangential Load (N)
Life - distance travelled around Ring Gear 1 000 km 5 000 km 25 000 km 50
40
150 155 150 155 100 110 155 165 170 960 970 970 960
30 30
100 100 100 100 80 85
120 125 130 730 850 880 730
25 25 75 80 75 80 60 65 95
100 100 530 640 660 530
Pinion Part Number
P10 W11 T42 & SSP10 W11 T42
P10 W7 T48 & SS P10 W7 T48
Used with Ring
P125 W14 T34 & SS P125 W14 T34
RIS 278 RIS 374 R44 468 R44 612 REM 505 REM 655 RIM 482 RIM 627 R76 799
P15 W12 T48 & SS P15 W12 T48
Max Working Tangential Load (N)
Life - distance travelled around Ring Gear 1 000 km 5 000 km 25 000 km 970
970 630 760
1510 1820 1510 1820 1950
P20 W20 T27 & SS P20 W20 T27
R76 1033 1950 R76 1267 1950 R76 1501 1950 REL 874 RIL 812
850 880 585 585
3990 3990
1400 1400 1400 1400 1560 1640 1640 1640 2530 2530
640 680 470 470 960 990 970 990
1290 1290 1290 1290 1890 1890
For racks on TNSE...R slides use RIS 374 figures & for TNME...R slides use RIM 627 figures
Track system 40-41
Fixed Center Carriage Play at Track System Joints
HepcoMotion fixed center carriages have the same fit on both straight slides and curved segments in a track system. As the carriage traverses the join between these two components, slight play develops between each pair of opposing bearings. The maximum play is given in the table below.
Carriage Type
Clearance /mm 0.17 0.08 0.18 0.10 0.47* 0.15 0.09 0.21 0.14 0.22 0.19 0.17 0.16 Maximum
These figures are theoretical clearances. In most applications, the bearings are slightly preloaded against the slides, and some of this clearance will appear as a "relaxation" of the system. In these instances the carriage will have a slightly freer movement as it traverses between the straight and curved section than when the carriage is fully on the straight slide or curved segment.
In most duties the clearance or momentary reduction in preload will not present an issue, however, in
some applications it may be undesirable. In such cases customers should consider using the Hepco bogie type carriage 47, which does not develop play in the same way when traversing from straight to curved sections.
* The FCC 25 159 has greater than normal clearance. This will be noticeable, but not detrimental in many applications. 57
Pinions 53
Bearings 34-36
Ring slides 26-33
FCC carriage 38-39
BCP carriage 47
FCC 12 93 FCC 12 127 FCC 20 143 FCC 20 210 FCC 25 159 FCC 25 255 FCC 25 351 FCC 44 468 FCC 44 612 FCC 76 799 FCC 76 1033 FCC 76 1267 FCC 76 1501
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