LINEAR UNITS

Additional Technical Data and Calculations
Linear Units
Deflection Calculations
How to calculate the deflection of the profile
Load Cases
1. F
2. F
3.
F
Lf
Lf
Lf
Profile supported in both ends.
Profile fixed at both sides.
Profile supported in both ends.
Profile fixed at one side.
Profile supported in one end.
Profile fixed at one side.
Permissible Profile Deflection Formula [mm]
fh = Lf × b
fh = permissible profile deflection [mm]
Lf = lenght of profile being bent [mm]
b = bending factor 1
Profile Deflection Formulae [mm]
Load Case 1.
fmax =
Load Case 2.
fmax =
Load Case 3.
fmax =
m’100 × g × Lf (mext
+
× mc) × g × Lf
100 × 384 × EAl × Iy 192 × EAl × Iy
4
4
m’100 × g × Lf (mext
+
× mc) × g × Lf
100 × 185 × EAl × Iy 48 × 5 × EAl × Iy
4
m’100 × g × Lf (mext
+
× mc) × g × Lf
100 × 8 × EAl × Iy 3 × EAl × Iy
3
3
3
fmax
= deflection of the profile [mm]
m’100 = weight of every 100 mm of
stroke [kg] 2
mext
= external load on carriage [kg]
mc = weight of carriage(s) [kg] 2
g = acceleration due to gravity [m/s 2 ]
EAl
Iy
= elastic modulus of aluminium
(70000 N/mm 2 )
= geometrical moment of inertia of
the profile in Y direction [mm 4 ] 1
1
This value can be found in the additional
technical data tables.
2
This value can be found in the performance
specifications tables for each unit.
Conclusion Formulae
fh > fmax = deflection OK
fh < fmax = deflection not OK, Lf must be shorter
190