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ISO Metric & Whitworth Thread & Caliper Measurement Calculator

Calculate thread pitch diameter, minor root diameter, tap drill sizes, and caliper 3-wire measurements.

Input Parameters

mm

e.g. 12mm for M12, 12.7mm for 1/2" BSW, 6mm for M6

For ISO Metric enter Pitch in mm (e.g. 1.75). For Whitworth enter TPI (e.g. 12 TPI).

Calculation Results

Nominal Major Diameter (D)
12 mm (0.4724 in)
Pitch (P) & TPI
1.75 mm pitch (14.5 TPI)
Pitch / Effective Diameter (d2)
10.863 mm (0.4277 in)
Minor / Root Core Diameter (d1)
10.106 mm (0.3979 in)
Recommended Tap Drill Size (~75% Depth)
10.25 mm (0.404 in / drill)
Thread Profile & Angle
60° (ISO Metric Standards ISO 261 / ISO 965)
Caliper 3-Wire Measurement Wire Diameter
Best Wire: 1.01 mm (0.0398 in)
Summary: For a ISO Metric M12 × 1.75mm thread, the major diameter is 12 mm, pitch diameter is 10.863 mm, minor core diameter is 10.106 mm, and recommended tapping drill bit size is 10.25 mm.
Step-by-Step Calculation Solution
1.Pitch (P) = 1.75 mm (TPI = 14.51)
2.ISO 60° Pitch Diameter d₂ = D - 0.649519 × P = 12 - (0.649519 × 1.75) = 10.863 mm
3.ISO Minor Diameter d₁ = D - 1.082532 × P = 12 - (1.082532 × 1.75) = 10.106 mm
4.Tap Drill Size ≈ Major Diameter - Pitch = 12 - 1.75 = 10.25 mm

Formula & How ISO Metric & Whitworth Thread & Caliper Measurement Calculator Works

Mathematical Formula
ISO: d₂ = D - 0.6495P, d₁ = D - 1.0825P, Tap Drill ≈ D - P | Whitworth: d₂ = D - 0.6403p, d₁ = D - 1.2807p, Depth = 0.6403p

Screw thread geometry determines mechanical fastener strength and machining tolerances. ISO Metric threads feature a 60° symmetrical triangular flank profile, whereas British Standard Whitworth (BSW) threads feature a 55° flank angle with radiused crests and roots ($r = 0.1373 \times p$). Caliper and micrometer thread pitch measurements use the 3-wire method over the pitch diameter.

How to Calculate ISO Metric & Whitworth Thread & Caliper Measurement Calculator (Step-by-Step)
  1. Enter Thread Standard System: Input your target parameter value.
  2. Enter Nominal Major Diameter (mm) (mm): Input your target parameter value.
  3. Enter Thread Pitch (mm) OR Whitworth TPI: Input your target parameter value.
  4. Apply Formula: Calculate using ISO: d₂ = D - 0.6495P, d₁ = D - 1.0825P, Tap Drill ≈ D - P | Whitworth: d₂ = D - 0.6403p, d₁ = D - 1.2807p, Depth = 0.6403p.
  5. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is the difference between ISO Metric and Whitworth threads?

ISO Metric threads have a 60-degree included thread flank angle with flat crests and rounded roots, specified in millimeters. Whitworth (BSW/BSF) threads have a 55-degree flank angle with rounded crests and roots, specified by diameter in inches and pitch in Threads Per Inch (TPI).

How do you calculate the correct tap drill size for metric threads?

For standard 75% thread engagement in ISO metric tapping, Tap Drill Size (mm) = Nominal Major Diameter (mm) - Thread Pitch (mm). For example, an M10 × 1.5 thread requires an 8.5 mm drill bit (10 - 1.5 = 8.5 mm).

What is the 3-wire method for measuring pitch diameter with calipers or micrometers?

The three-wire method places three precision cylinders of known diameter in the thread grooves to measure distance across the wires with a micrometer or caliper, calculating effective pitch diameter free of thread crest errors.

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Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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