Cost, Tolerances & Reference

Sine Bar Gauge Block Calculator

Gauge block stack height for a sine bar or sine plate. Enter the sine bar length and the angle you need, and get the stack in mm and inches.

Input Parameters

Results

Gauge Block Stack (mm)—
Gauge Block Stack (in)—
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Sine bar gauge block stack formula

A sine bar uses trigonometry to create precise angles. One end rests on a surface plate; the other is raised by a stack of gauge blocks. The height of the stack determines the angle via the sine function.

Frequently asked questions

How accurate is a sine bar?

A well-maintained 100 mm sine bar with Grade 0 gauge blocks can achieve angular accuracy within ±10 arc-seconds (±0.0028 deg ). At 100 mm length, a 1 µm error in the gauge block stack produces ~2 arc-seconds of angular error.

What is the maximum angle for a sine bar?

Practical limit is about 60 deg . Beyond 45 deg , the stack height approaches the sine bar length and the setup becomes unstable. For steeper angles, use a sine plate or compound sine table. Also, the sine error increases rapidly above 60 deg .

Can I use a sine bar on a milling machine?

Yes, for setting workpiece angles. Clamp the sine bar (with the workpiece) to the machine table. Use a dial indicator to verify the top surface is parallel to the machine axis. Do not use a sine bar as a work support during heavy cutting -- it is a setting tool, not a fixture.

How to use this Sine Bar Gauge Block Calculator

Enter the desired angle and your sine bar length (100 mm default). The calculator gives the gauge block stack height in mm and inches. Build the stack from your gauge block set and place it under the sine bar's roll to set the angle.

Common mistakes to avoid

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