Example of Stiffness Calculation

Ballscrew 10 x 32 mm, double nut with 2 x 3 circuits Preloaded to 10% of the dynamic load capacity ISO-standard grade 3, System: fixed-free R nu, ar = 490 N/µm, Bearing INA ZARN 2062 LTN, Stiffness R b = 2300 N/µm (see bedding)

A = 605 mm2
l_s= 1000 mm
R_s1 = (A ·E) / (l_s ·10³)
R_s1 = 127 N/µm
R_t = 1 / (1/R_nu,ar + 1/R_s + 1/R_b)
R_t = 1 / (1/490+1/127+1/2300)
R_t = 97 N/µm

For improved stiffness of the axis, a fixed-fixed bearing configuration can be used:

R_s2 = 508 N/µm
R_t = 1 / (1/490+1/508+1/2300)
R_t = 225 N/µm