Rigidity - NTN-SNR LINEAR AXIS AXC Series Manual

2.8

Rigidity

The rigidity of a Linear Axis is specified by the corelation between the external load and the resulting elastic deformation in the load
direction.
The rigidity is an important parameter for the selection of the Linear Axis because the rigidity values are changing depending on the type
and version of the NTN-SNR - Linear Axis. Essentially, the rigidity of the Linear Axis is determined by the rigidity of the aluminum profile.
The total deformation of a system still depends on the following external factors:
• Kind of the loads (point loads, line loads or moment loads)
• Kind of the fixation of the Linear Axis
• Length of the Linear Axis
• Distance of the fastening points
Some examples of calculation of the bending of the Linear Axis are shown in Table 2.1.
Table 2.1 ____ Bending of Linear Axis
Kind of bearing
Support - Support
Fixed - Fixed
Support - Support
Fixed - Fixed
Fixed - Free
Fixed - Free
Support - Support
Fixed - Fixed
Kind of load Specification
Point load
Point load
Line load
Line load
Point load
Line load
Moment load
Moment load
Bending
δ
=
max
48
δ =
max
192
δ
=
max
384
δ
=
max
384
δ
=
max
3
δ
=
max
8
δ
=
max
δ
=
max
216
18
Bending angle
0
α
=
Pl 3
1
Pl
EI
tan
α
=
2
16
0
α
=
1
Pl 3
EI
0
α
=
2
pl 4 pl
5
tan
α
=
2
EI
24
pl 4
0
α =
2
EI
Pl
tan
α
3 =
Pl
1
2
EI
0
α
=
2
pl
tan
α
=
pl 4 1
6
EI
0
α
=
2
tan
α
=
1
12
3 Ml 2
216 EI
tan
α
=
2
24
tan
α
=
Ml 2
1
16
EI
tan 0
α
=
2
2
EI
3
EI
2
EI
3
EI
Ml
EI
Ml
EI
Ml
EI