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Deflection Calculations<br />
Examples of calculations of the profile deflection<br />
Example 1 Example 2 Example 3<br />
Type of linear unit:<br />
WH80<br />
Load case:<br />
Case 1 - profile supported in both ends and<br />
fixed at both sides.<br />
Load to be moved by carriage:<br />
mext = 150 kg<br />
Distance between supports:<br />
Lf = 600 mm<br />
Specific unit data:<br />
m’100 = 0,93 kg<br />
mc = 2,75 kg<br />
EAl = 70000 N/mm2 Iy = 1,93 × 106 mm4 b = 0,0005<br />
Calculated values:<br />
fh = 0,3 mm<br />
fmax = 0,013 mm<br />
Conclusion:<br />
fh > fmax = deflection OK<br />
<strong>www</strong>.<strong>danahermotion</strong>.<strong>com</strong><br />
Type of linear unit:<br />
M55 (MF06B)<br />
Load case:<br />
Case 2 - profile supported in both ends and<br />
fixed at one side.<br />
Load to be moved by carriage:<br />
mext = 100 kg<br />
Distance between supports:<br />
Lf = 600 mm<br />
Specific unit data:<br />
m’100 = 0,53 kg<br />
mc = 1,2 kg<br />
EAl = 70000 N/mm2 Iy = 4,59 × 105 mm4 b = 0,0005<br />
Calculated values:<br />
fh = 0,3 mm<br />
fmax = 0,063 mm<br />
Conclusion:<br />
fh > fmax = deflection OK<br />
Type of linear unit:<br />
WM80<br />
Linear Units<br />
Load case:<br />
Case 3 - profile supported and fixed at one<br />
end.<br />
Load to be moved by carriage:<br />
mext = 120 kg<br />
Distance between supports:<br />
Lf = 400 mm<br />
Specific unit data:<br />
m’100 = 1,08 kg<br />
mc = 4,26 kg<br />
EAl = 70000 N/mm2 Iy = 1,85 × 106 mm4 b = 0,0003<br />
Calculated values:<br />
fh = 0,12 mm<br />
fmax = 0,203 mm<br />
Conclusion:<br />
fh > fmax = deflection not OK<br />
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