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Axial Load Rating:
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| BASIC STATIC AXIAL LOAD RATING |
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provides the Allowable Axial Load of the Ball Screw:
Where:
fs=1
2 (normal motion) and fs=2
3 (shock motion) |
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| Nominal Diameter d0(mm) |
Nominal Lead Ph0 (mm) |
Ball Diameter (mm) |
Basic Static Axial Load Rating Coa (daN) |
| 2 |
3 |
4 |
5 |
6 |
| 12 |
4 |
2,500 |
367 |
548 |
731 |
913 |
1096 |
| 16 |
4 |
2,500 |
546 |
816 |
1088 |
1360 |
1632 |
| 5 |
3,175 |
595 |
888 |
1184 |
1480 |
1776 |
| 20 |
5 |
3,175 |
824 |
1233 |
1643 |
2054 |
2465 |
| 25 |
5 |
3,175 |
1113 |
1666 |
2221 |
2777 |
3332 |
| 10 |
6,350 |
1691 |
2515 |
3354 |
4192 |
5031 |
| 32 |
5 |
3,175 |
1519 |
2275 |
3033 |
3792 |
4550 |
| 10 |
6,350 |
2379 |
3552 |
4736 |
5919 |
7103 |
| 40 |
5 |
3,175 |
1983 |
2973 |
3963 |
4954 |
5945 |
| 10 |
6,350 |
3297 |
4930 |
6574 |
8217 |
9861 |
| 50 |
5 |
3,175 |
2565 |
3846 |
5128 |
6409 |
7691 |
| 10 |
6,350 |
4452 |
6664 |
8885 |
11107 |
13328 |
| 63 |
5 |
3,175 |
3322 |
4982 |
6642 |
8303 |
9963 |
| 10 |
6,350 |
6071 |
9094 |
12126 |
15157 |
18188 |
| 12 |
7,939 |
6961 |
10422 |
13896 |
17370 |
20845 |
| 16 |
9,525 |
7937 |
11867 |
15823 |
19779 |
23734 |
| 80 |
10 |
6,350 |
7933 |
11890 |
15854 |
19817 |
23781 |
| 12 |
7,939 |
9494 |
14225 |
18967 |
23709 |
28451 |
| 16 |
9,525 |
11052 |
16544 |
22059 |
27573 |
33088 |
| 20 |
12,700 |
13189 |
19721 |
26295 |
32869 |
39443 |
| 100 |
10 |
6,350 |
10260 |
15383 |
20510 |
25638 |
30765 |
| 12 |
7,939 |
12400 |
18587 |
24782 |
30978 |
37173 |
| 16 |
9,525 |
14701 |
22024 |
29365 |
36706 |
44047 |
| 20 |
12,700 |
17806 |
26656 |
35541 |
44426 |
53312 |
| 24 |
15,875 |
20608 |
30822 |
41096 |
51370 |
61644 |
| 125 |
10 |
6,350 |
13057 |
19580 |
26106 |
32633 |
39159 |
| 12 |
7,939 |
16038 |
24045 |
32060 |
40075 |
48090 |
| 16 |
9,525 |
18892 |
28314 |
37753 |
47191 |
56629 |
| 20 |
12,700 |
23376 |
35018 |
46691 |
58364 |
70036 |
| 24 |
15,875 |
27823 |
41656 |
55542 |
69427 |
83313 |
| 160 |
10 |
6,350 |
17250 |
25871 |
34494 |
43118 |
51741 |
| 12 |
7,939 |
21135 |
31693 |
42258 |
52822 |
63387 |
| 16 |
9,525 |
24661 |
36972 |
49296 |
61621 |
73945 |
| 20 |
12,700 |
31733 |
47561 |
63415 |
79269 |
95123 |
| 24 |
15,875 |
37964 |
56881 |
75841 |
94801 |
113762 |
| 32 |
19,050 |
44207 |
66176 |
88235 |
110294 |
132352 |
| 180 |
16 |
9,525 |
28326 |
42472 |
56629 |
70787 |
84944 |
| 20 |
12,700 |
36385 |
54544 |
72725 |
90907 |
109088 |
| 24 |
15,875 |
43770 |
65596 |
87462 |
109327 |
131193 |
| 32 |
19,050 |
50491 |
75615 |
100820 |
126026 |
151231 |
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BASIC DYNAMIC AXIAL LOAD RATING |
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| provide the the Basic Rating Life (Expected Life):
where:
fr=1...1,2 (smooth motion),
fr=1,2...1,5 (normal motion),
fr=1,5...2,0 (shock motion),
Fa- Axial Constant Load - including force and external force, if Fa varies this variable must be placed with Fm - Average Axial Load |
| Nominal diameter d0 (mm) |
Pitch
Pho (mm)
|
Ball Diameter (mm) |
Basic Dynamic Axial Load Ca (daN) |
| 2 |
3 |
4 |
5 |
6 |
| 12 |
4 |
2,500 |
237 |
336 |
430 |
521 |
609 |
| 16 |
4 |
2,500 |
293 |
415 |
532 |
644 |
754 |
| 5 |
3,175 |
363 |
514 |
658 |
798 |
933 |
| 20 |
5 |
3,175 |
433 |
613 |
785 |
952 |
1113 |
| 25 |
5 |
3,175 |
502 |
712 |
912 |
1105 |
1292 |
| 10 |
6,350 |
1034 |
1466 |
1878 |
2275 |
2661 |
| 32 |
5 |
3,175 |
580 |
822 |
1052 |
1275 |
1492 |
| 10 |
6,350 |
1263 |
1790 |
2293 |
2778 |
3249 |
| 40 |
5 |
3,175 |
651 |
923 |
1182 |
1432 |
1675 |
| 10 |
6,350 |
1507 |
2136 |
2735 |
3314 |
3876 |
| 50 |
5 |
3,175 |
725 |
1027 |
1315 |
1594 |
1864 |
| 10 |
6,350 |
1749 |
2479 |
3175 |
3847 |
4500 |
| 63 |
5 |
3,175 |
804 |
1140 |
1460 |
1769 |
2069 |
| 10 |
6,350 |
2027 |
2873 |
3679 |
4457 |
5214 |
| 12 |
7,939 |
2611 |
3701 |
4740 |
5742 |
6717 |
| 16 |
9,525 |
3235 |
4585 |
5871 |
7114 |
8321 |
| 80 |
10 |
6,350 |
2267 |
3214 |
4116 |
4986 |
5833 |
| 12 |
7,939 |
3019 |
4278 |
5479 |
6638 |
7765 |
| 16 |
9,525 |
3813 |
5403 |
6920 |
8384 |
9807 |
| 20 |
12,700 |
5247 |
7437 |
9524 |
11539 |
13498 |
| 100 |
10 |
6,350 |
2524 |
3577 |
4581 |
5550 |
6492 |
| 12 |
7,939 |
3390 |
4804 |
6153 |
7454 |
8720 |
| 16 |
9,525 |
4348 |
6163 |
7893 |
9562 |
11186 |
| 20 |
12,700 |
6092 |
8633 |
11057 |
13396 |
15670 |
| 24 |
15,875 |
7844 |
11116 |
14237 |
17248 |
20176 |
| 125 |
10 |
6,350 |
2775 |
3932 |
5036 |
6102 |
7137 |
| 12 |
7,939 |
3773 |
5347 |
6848 |
8297 |
9705 |
| 16 |
9,525 |
4829 |
6843 |
8764 |
10618 |
12421 |
| 20 |
12,700 |
6896 |
9773 |
12516 |
15164 |
17738 |
| 24 |
15,875 |
9105 |
12904 |
16526 |
20022 |
23421 |
| 160 |
10 |
6,350 |
3103 |
4397 |
5632 |
6823 |
7982 |
| 12 |
7,939 |
4216 |
5975 |
7652 |
9271 |
10844 |
| 16 |
9,525 |
5368 |
7608 |
9744 |
11805 |
13809 |
| 20 |
12,700 |
7896 |
11190 |
14331 |
17363 |
20311 |
| 24 |
15,875 |
10508 |
14892 |
19072 |
23106 |
27029 |
| 32 |
19,050 |
13276 |
18816 |
24097 |
29195 |
34151 |
| 180 |
16 |
9,525 |
5687 |
8059 |
10321 |
12505 |
14628 |
| 20 |
12,700 |
8363 |
11852 |
15179 |
18390 |
21511 |
| 24 |
15,875 |
11186 |
15852 |
20302 |
24597 |
28773 |
| 32 |
19,050 |
14072 |
19943 |
25541 |
30944 |
36197 |
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AXIAL RIGIDITY / STIFFNESS / SPRING RATE |
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| for the ball screw assembly composed of ball screw, nuts and balls and the system made by double flanged preloaded nuts with the proload standard force (Fpr) amount equal of 10% of the Basic Dynamic Axial Load (Ca):
Where according ISO 3408-3:1992:
Fa - the axial loads applied-equivalent to 0,5xFpr and 2xFpr,
- the axial elastic displacement.
The Total Axial Rigidity (R) is given by the general equation:
Where:
Rbs - rigidity of the ball screw,
Rnu - rigidity of the nuts unit,
Rb/t - rigidity of balls in the contact area,
RB - rigidity of the bearings and housings,
RSB - rigidity of the nut bracket/support.
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| Nominal Diameter d0 (mm) |
Lead |
Ball diameter (mm) |
Axial Rigidity |
| Ph0 (mm) |
Rnu (daN/μm) |
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2 |
3 |
4 |
5 |
6 |
| 12 |
4 |
2,500 |
20 |
16 |
38 |
47 |
56 |
| 16 |
4 |
2,500 |
27 |
22 |
52 |
64 |
76 |
| 5 |
3,175 |
25 |
20 |
48 |
59 |
70 |
| 20 |
5 |
3,175 |
31 |
26 |
61 |
76 |
90 |
| 25 |
5 |
3,175 |
39 |
33 |
76 |
94 |
112 |
| 10 |
6,350 |
35 |
29 |
69 |
85 |
101 |
| 32 |
5 |
3,175 |
48 |
41 |
93 |
115 |
137 |
| 10 |
6,350 |
46 |
38 |
89 |
110 |
131 |
| 40 |
5 |
3,175 |
57 |
49 |
111 |
137 |
163 |
| 10 |
6,350 |
58 |
49 |
113 |
140 |
167 |
| 50 |
5 |
3,175 |
65 |
58 |
127 |
158 |
188 |
| 10 |
6,350 |
71 |
61 |
138 |
171 |
204 |
| |
5 |
3,175 |
75 |
69 |
146 |
181 |
216 |
| 63 |
10 |
6,350 |
87 |
76 |
169 |
210 |
250 |
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12 |
7,939 |
88 |
75 |
171 |
212 |
253 |
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16 |
9,525 |
89 |
75 |
173 |
214 |
255 |
| 80 |
10 |
6,350 |
102 |
91 |
199 |
247 |
294 |
| 12 |
7,939 |
107 |
93 |
208 |
257 |
307 |
| 16 |
9,525 |
114 |
97 |
222 |
275 |
327 |
| 20 |
12,700 |
112 |
93 |
217 |
269 |
320 |
| 100 |
10 |
6,350 |
115 |
107 |
226 |
280 |
334 |
| 12 |
7,939 |
124 |
112 |
242 |
300 |
358 |
| 16 |
9,525 |
136 |
118 |
264 |
328 |
390 |
| 20 |
12,700 |
137 |
116 |
266 |
329 |
392 |
| 24 |
15,875 |
135 |
114 |
263 |
325 |
388 |
| 125 |
10 |
6,350 |
126 |
122 |
247 |
307 |
366 |
| 12 |
7,939 |
142 |
132 |
277 |
343 |
410 |
| 16 |
9,525 |
158 |
140 |
308 |
381 |
454 |
| 20 |
12,700 |
163 |
141 |
316 |
392 |
467 |
| 24 |
15,875 |
167 |
143 |
324 |
401 |
478 |
| 160 |
10 |
6,350 |
140 |
141 |
274 |
340 |
406 |
| 12 |
7,939 |
158 |
153 |
309 |
384 |
458 |
| 16 |
9,525 |
184 |
168 |
359 |
446 |
531 |
| 20 |
12,700 |
197 |
175 |
384 |
476 |
567 |
| 24 |
15,875 |
205 |
179 |
399 |
494 |
589 |
| 32 |
19,050 |
215 |
184 |
419 |
519 |
618 |
| 180 |
16 |
9,525 |
199 |
184 |
389 |
482 |
575 |
| 20 |
12,700 |
214 |
193 |
418 |
518 |
618 |
| 24 |
15,875 |
225 |
198 |
437 |
542 |
646 |
| 32 |
19,050 |
237 |
203 |
461 |
571 |
680 |
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Note: For general applications, because the values
given in the table do not include the rigidity of the bracket
/ support of nuts, in this situation please take a value
of 80% ... 90% of those shown in the table.
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