Profile Rail Linear Guides
Profile Rail Linear Guides
Profile Rail Linear Guides
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<strong>Profile</strong> <strong>Rail</strong> <strong>Linear</strong> <strong>Guides</strong><br />
Applied Loading Calculations<br />
The majority of applications utilize a four carriage or<br />
bearing and two rail design for stability. Shown are four<br />
typical configurations and calculations for the resultant<br />
loads applied to each bearing. Resultant loads are<br />
divided into a horizontal and a vertical components,<br />
which represent the static or constant velocity condition<br />
and account for gravity but not acceleration.<br />
Use the appropriate configuration to determine the<br />
hori zontal and vertical components of the resultant<br />
applied load on the most heavily loaded carriage or<br />
bearing. These values will be referred to henceforth as<br />
FH & FV, respectively.<br />
Terms :<br />
d 0 = distance between centerlines of carriages or<br />
bearings (in) or (mm)<br />
d = 1 distance between centerlines of rails (in)<br />
or (mm)<br />
d 2 = distance from centerline of carriage or bearing<br />
to load action point (in) or (mm)<br />
d 3 = distance from centerline of carriage or bearing<br />
to load action point (in) or (mm)<br />
W = Applied Load (lbf) or (N)<br />
FNH = Horizontal component of resultant applied<br />
load with respect to each carriage or bearing<br />
(lbf) or (N)<br />
FNV = Vertical component of resultant applied<br />
load with respect to each carriage or bearing<br />
(lbf) or (N)<br />
Reminder:<br />
• Be sure to use consistent units (English or metric).<br />
• Be sure to use the appropriate sign (positive or<br />
negative).<br />
• A negative number is used when the actual force is<br />
in the opposite direction represented by the arrow.<br />
(<br />
F 1v = W +<br />
W d 2<br />
• -<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
F 2v = W -<br />
W d 2<br />
• -<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
F 3v = W -<br />
W d 2<br />
• + W • d3<br />
4 2 d 0 2 d 1<br />
(<br />
F 4v = W +<br />
W d 2<br />
• +<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
d3<br />
4 3<br />
L<br />
1 2<br />
d0<br />
2<br />
d2<br />
d0<br />
F1v F4v W<br />
F2v F3v<br />
Horizontal Application I<br />
At the time of movement with uniform velocity or at the time of stop.<br />
(<br />
F 1v = W +<br />
W d 2<br />
• -<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
F 2v = W -<br />
W d 2<br />
• -<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
F 3v = W -<br />
W d 2<br />
• + W • d3<br />
4 2 d 0 2 d 1<br />
(<br />
F 4v = W +<br />
W d 2<br />
• +<br />
W d 3<br />
•<br />
4 2 d 0 2 d 1<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
d3<br />
W<br />
d2<br />
1 2<br />
4 3<br />
d0<br />
W<br />
2<br />
d0<br />
F1v F4v<br />
F2v F3v<br />
Horizontal Application II<br />
At the time of movement with uniform velocity or at the time of stop.<br />
F 1v = F 2v = -<br />
F 3v = F 4v = +<br />
W •<br />
d 3<br />
2 d 1<br />
W •<br />
d 3<br />
2 d 1<br />
F 1H = F 4H = W +<br />
W d 2<br />
•<br />
4 2 d 0<br />
F 1H = F 4H = W -<br />
W d 2<br />
4 2 •<br />
d 0<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
(<br />
W<br />
d2<br />
F1H<br />
1 2<br />
F4H<br />
4 3<br />
d0<br />
2<br />
d0<br />
F3H<br />
F2H<br />
d1<br />
d1<br />
2<br />
d1<br />
d1<br />
2<br />
W<br />
d3<br />
F1v, F2v<br />
F3v, F4v<br />
Side Mounted Application<br />
At the time of movement with uniform velocity or at the time of stop.<br />
d1<br />
F 1v = F 4v = -<br />
F 3v = F 4v = +<br />
(<br />
(<br />
W •<br />
d 2<br />
2 d 0<br />
W •<br />
d 2<br />
2 d 0<br />
F 1H = -F 2H = -F 3H = F 4H = W • d3<br />
2 d 0<br />
(<br />
(<br />
F1H<br />
d0<br />
F2H<br />
F1v<br />
F4v<br />
d1 F2v<br />
d2<br />
W<br />
d3<br />
Engineering<br />
Guide<br />
Vertical Application<br />
At the time of movement with uniform velocity or at the time of stop.<br />
At the time of start & stop, the load varies because of inertia.<br />
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