Assembly example: horizontal ball-screw axis

A combined example: the same motion problem flows through four consecutive selection steps, each using that step's standard formula, with numbers consistent across the single-purpose tools.

How to use

Enter the calculation conditions
Enter the dimensions, loads, speeds or operating conditions requested by the form.
Run the calculation
The tool applies the formulas shown on this page to the entered values.
Review the result
Review the resulting specification and checks, then verify them against the cited source, current standard and real operating conditions before use.

Core formula

N=v·60/Ph; DN=D·N; L=(C/(fw·P))³·50; T=(F·Ph/(2π·η)/N + J·n/(9.55·t₁))·Sf; T_coupling≥(T_load+Ta)·Kc

Example using default values

m=40 kg, stroke=600, v=300 mm/s, t₁=0.2 s, Ph=10, Ø16 → N≈1800 rpm, T≈0.34 N·m, LM life very high

Source: THK/HIWIN/NSK (ball screw & LM guide); Oriental Motor Sizing; Euler column; KTR/NBK/Miki Pulley (coupling service factor).

Frequently asked questions

Which selection steps does this cover?

Four consecutive steps for a horizontal axis: (1) ball screw (lead, DN, critical speed, buckling), (2) LM guide (life, static safety), (3) motor (inertia, load torque, accel torque, required torque), (4) coupling (rated torque via service factor).

Do the numbers match the single-purpose calculators?

Yes. Each step uses the same formula and constants as the corresponding tool (ball screw selection, LM guide, motor sizing), so the same inputs give the same results.

What simplifications should I note?

Load is shared equally across LM blocks (overturning moment ignored), gearbox efficiency ~1, and duty-cycle/fatigue/thermal are not modelled. C, C₀, efficiency and factors must come from the real datasheet and be verified in the maker catalog.

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