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STAR – Precision Ball Screw Assemblies

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Permissible axial load on screw<br />

F k (buckling load)<br />

Example<br />

<strong>Screw</strong> diameter = 63 mm,<br />

lead = 10 mm,<br />

Length lk = 2.4 m<br />

End fixity II (fixed - supported)<br />

According to the graph, the theoretically<br />

permissible axial load is 360 kN.<br />

A permissible axial load on the screw of<br />

360 kN : 2 = 180 kN is achieved when<br />

applying the safety factor 2. This therefore<br />

lies above the maximum operating<br />

load of F1 = 50 kN used in our<br />

calculation example.<br />

14<br />

15<br />

F k f Fk<br />

F kzul<br />

4<br />

d2 2<br />

lk F k<br />

2<br />

f Fk value End fixity<br />

2.6 IV<br />

10.2 III<br />

20.4 II<br />

40.6 I<br />

4<br />

10<br />

(N)<br />

(N)<br />

F k = theoretically permissible axial<br />

load on screw<br />

F kzul = permissible axial load during<br />

operation<br />

f Fk = corrector value determined<br />

by bearing<br />

d 2 = root diameter (mm)<br />

see Dimension Tables<br />

l k = unsupported threaded<br />

length (mm)<br />

RE 83 301/12.99 97<br />

lk<br />

The permissible axial load on the screw F k<br />

depends on the diameter of the screw, the<br />

type of end fixity and the effective free<br />

axial load on screw F k (kN)<br />

F K<br />

3000<br />

2000<br />

1000<br />

800<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1.0<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

125x10<br />

125x20<br />

100x10<br />

100x20<br />

80x10<br />

80x20<br />

63x10<br />

63x20 - 63x40<br />

50x5<br />

50x10<br />

50x20 - 50x40<br />

40x5<br />

40x10 - 40x20<br />

40x40<br />

32x5 - 32x10<br />

32x20 - 32x32<br />

25x5 - 25x10<br />

25x25<br />

20x5<br />

20x20<br />

16x5 - 16x10<br />

16x16<br />

12x5<br />

8x2.5<br />

0.1<br />

0.2 0.3<br />

(unsupported) length l k . A safety factor of<br />

g ≥ 2 should be taken into consideration<br />

when determining the permissible axial<br />

load.<br />

0.4 0.5 0.6 0.8 1<br />

0.1 0.2 0.3 0.4 0.5 0.6 0.8 1 2 3 4 5 6 7 8 9 10<br />

0.2 0.3 0.4 0.5 0.6 0.8 1<br />

2 3 4 5 6 7 8 9 10<br />

0.2 0.3 0.4 0.5 0.6 0.8 1<br />

2 3 4 5 6 7 8 9 10<br />

2 3 4 5 6 7 8 9 10<br />

Length l k (m)

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