Definitions

A Shaft cross section [mm2] i Number of ball circles
α Coefficient of thermal
expansion [1/°C]
JIS Japanese Industrial Standard
c Lead compensation k Support coefficient
(critical speed)
C0a Static axial load capacity [N] L10 Nominal life 90% reliability
[106 revolutions]
Ca Dynamic axial load capacity [N] ls Unsupported shaft length [mm]
Caerf

Required dynamic axial
load capacity [N]

lu Travel [mm]
Δlb/t Axial elastic deformation
due to external load Fi [µm]
m Support coefficient (buckling]
Δlb/t,pr

Axial elastic deformation
due to preload Fpr [µm]

ni Speed [rpm]
Δlp Elongation of the shaft [mm] nk Critical speed [rpm]
ΔlT Thermal expansion [mm] nm Equivalent Speed [1/min]
dN Nominal diameter [mm] nmax Maximum Speed [rpm]
DN DN value [mm/min] P Lead [mm]
Δt Temperature increase [°C] PB Buckling load [N]
"E" Tolerance of the cumulative
lead error (JIS)
Pi Load capacity per ANSI [lbf]
E Elasticity modulus [N/mm2] qi Time percentage [%]
ε Elongation relative to length Rb Axial bearing rigidity [N/µm]
e0a Mean lead deviation over
entire travel lu
Rnu,ar Actual nut rigidity [N/µm]
e Lead error in one revolution (JIS) Rs Shaft rigidity [N/µm]
e300 Lead error in 300 mm (JIS) Rt Rigidity of ball screw [N/µm]
ep Tolerance for the average lead
deviation over entire travel lu
T Travel compensation (JIS)
esa Actual lead deviation over
entire travel lu
Tpr Preload torque
Fi External load [N] v2πa Lead fluctuation in one
revolution
Fi* Modified external load [N] v300a Lead fluctuation in 300 mm
Fm Dynamic equivalent load [N] v300p Tolerance of the lead
fluctuation in 300 mm
Fm* Modified dynamic equivalent
load [N]
vua Lead deviation over entire travel lu
Fpr Preload [N]  vup  Tolerance of the lead
deviation over entire travel lu
FT Tensioning force [N]    

© 2013 August Steinmeyer GmbH & Co. KG