MONORAIL (DIN ISO 14728) / MINIRAIL (DIN 636) Rated Life Calculation
Uses a linear equal-stiffness load distribution; the official MRC report also models non-linear stiffness ; results agree within the preload range and this tool grows more optimistic the further the load exceeds the preload. Suitable for preliminary selection; base the final choice on the SCHNEEBERGER report.
Product Selection
BM
Ball Guideway
q = 3, Max speed 5 m/s
MR
Roller Guideway
q = 10/3, High load capacity
MINI
Minirail
q = 3, High precision miniature
RATED SPECIFICATIONS
C₀ Static Load Rating--N
C₁₀₀ Dynamic Load Rating--N
M₀Q Static Lateral Moment--Nm
M₀L Static Longitudinal Moment--Nm
MQ Dynamic Lateral Moment--Nm
ML Dynamic Longitudinal Moment--Nm
Horizontal
Vertical
Side Mount
Operating Conditions
m/s
sec
mm
次/min
Acceleration a=--m/s²
Accel Stroke Sa=--mm
Const. Speed Stroke Sc=--mm
Insufficient stroke: accel + decel stroke exceeds total stroke (triangle profile). Increase stroke or reduce speed/accel time.
Velocity Profile
Advanced Options
-
HRC ≥ 58: fH = 1.0
-
≤ 150°C: fT = 1.0
Load Environment
Please enter all geometry dimensions, payload mass and external forces carefully. Arrow direction indicates positive values; opposite is negative.
✎ Click values on the 3D model to edit directly
mm
mm
kg
Center of Gravity
mm
mm
mm
Drive & External Forces
mm
mm
N
N
N
Force Application Point
mm
mm
mm
Calculation Results
Specification
Model
--
Preload
--
Installation
--
Static Load Rating C₀
--
Dynamic Load Rating C₁₀₀
--
Rails
--
Carriages/Rail
--
Contact Factor fK
--
Speed Conditions
Max Velocity V
--
Acceleration a
--
Hardness Correction fH
--
Temperature Correction fT
--
Stroke
--
Frequency n
--
Equivalent Load Results
Phase
Equiv. Load (N)
Stroke (mm)
Max Average External Force per Carriage
--
Actual Working Load P
--
Static Safety Factor S₀
--
--
Rated Life
-- km
Rated Life (Hours)
-- hr
Recommended Minimum S₀
The critical factor for rolling contact surface deformation is peak amplitude, even if it occurs briefly. The following minimum values are recommended:
Operating Condition
S0
Suspended arrangement, high risk
≥ 12
High dynamic stress, shock loads
8 – 12
Normal machinery, moderate loads
5 – 8
All loads known, uniform & low vibration
3 – 5
Methodology
Carriage Load Distribution
Notes
This calculation includes preload force effects.
Results are based on DIN ISO 14728 theoretical formulas. Actual service life may vary depending on environment, lubrication, and installation accuracy.
When S₀ < 3.0, a design reassessment is recommended.
Forces along the travel direction (Fa,x, inertia, and the payload weight for vertical installation) are carried by the drive system; only their moment effects load the guideway. For vertical installation, verify the drive and brake separately.
Method note: this calculator computes the equivalent load and rated life with the SCHNEEBERGER application catalogue §4.8 formulas (identical to the manufacturer), and distributes the load to the carriages with a linear equal-stiffness model (rigid table on equal springs, satisfying force and moment equilibrium). The official MONORAIL calculation report (MRC) additionally accounts for the non-linear carriage stiffness and the different stiffness under tension, compression and lateral load, so the two agree while the carriage load stays within the preload force, and the life shown here becomes increasingly optimistic the further the load exceeds the preload. Note also that this calculator reports S₀ = C₀ / Fⱼ (without preload, per catalogue §4.8.3) whereas the official report uses S₀ = C₀ / P₀ (with preload), so the S₀ in the official report is noticeably lower for the same case — a difference in definition, not in calculation. Use these results for preliminary selection, configuration comparison and static-safety checks; base the final selection and any guaranteed life on the SCHNEEBERGER calculation report.
At high speed (V > 2 m/s or a > 50 m/s²), actual machine testing is recommended.
Short-stroke application (stroke ≤ 30 mm): the catalogue requires a service-life reduction, but the amount can only be determined by experiment, so the life shown above is NOT reduced. Definitions: MONORAIL — stroke ≤ 2× rolling-element diameter; MINIRAIL — ≤ 2× carriage length. Consider LUBE-S long-term lubrication and consult SCHNEEBERGER.
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