Horizontal feed-force screen
Rack & pinion axis
Inputs
Declared total translated mass for a horizontal axis, including relevant moving components.
User-entered guide friction coefficient from 0 through 1; it is not selected by this workspace.
Peak horizontal acceleration for the stated move; profile and jerk are excluded.
External horizontal resisting force added to the feed-force screen.
Declared pitch diameter used for torque and rpm conversion; tooth geometry is excluded.
Steady requested rack speed used only to calculate pinion rpm and mechanical power.
Results
Horizontal feed force
184.81
Requested linear speed
1.2
Pinion torque
7.3923
Pinion speed at requested linear speed
286.48
Mechanical linear powerP
0.22177
Fr = mgμ + ma + Fe; Tp = Frdp/2; np = 60v/(πdp); P = Frv
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate horizontal feed force, pinion torque, requested linear-speed pinion rpm, and mechanical power from load, friction, acceleration, external force, and pinion diameter.
Fr = mgμ + ma + Fe; Tp = Frdp/2; np = 60v/(πdp); P = Frv
When
- Horizontal axis
- Declared guide friction
- Lumped mass
- Single pinion
Don’t
- This is a horizontal, lumped-mass rack-and-pinion screen using user-entered friction, acceleration, external force, and pitch diameter. It excludes vertical/gravity axes, service factors, shock, gear mesh efficiency, tooth strength, backlash, lubrication, rack/pinion selection, gearbox or motor selection, rail loads, stiffness, positioning accuracy, controls, safety, and system approval.