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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/mm 2<br />

Iy = 1,93 × 10 6 mm 4<br />

b = 0,0005<br />

Calculated values:<br />

fh = 0,3 mm<br />

fmax = 0,013 mm<br />

Conclusion:<br />

fh > fmax = deflection OK<br />

www.danahermotion.com<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/mm 2<br />

Iy = 4,59 × 10 5 mm 4<br />

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 />

<strong>Linear</strong> <strong>Units</strong><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/mm 2<br />

Iy = 1,85 × 10 6 mm 4<br />

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 />

199

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