37.5°
Standard pipe bevel (BS EN ISO 9692)
tan⁻¹
Inverse tangent formula
±0.1°
Calculator accuracy
2-way
Forward & reverse calc
Pipe Bevel Calculator
mm
mm
Quick Presets
b (cut-back) a c (bevel face) θ θ = —
Bevel Angle
37.5°
tan⁻¹(10 ÷ 13) = 37.5°
Included angle (both sides): 75.0°
Common Bevel Angles — Cut-Back by Wall Thickness
Cut-back values rounded to 1 decimal place. Verify against applicable welding procedure specification (WPS).

The Formula Explained

The bevel angle (θ) is the angle between the bevel face and the pipe axis. Because the pipe wall forms a right triangle with the cut-back as the horizontal leg (b) and the wall thickness as the vertical leg (a), the bevel angle is simply the arctangent of cut-back divided by wall thickness:

θ = tan⁻¹(b ÷ a)
cut-back = tan(θ) × a

The included angle of the weld groove is twice the bevel angle when both pipe ends are bevelled symmetrically. The standard 37.5° bevel gives a 75° included groove angle, which allows adequate welder access for root runs.

Checking a Bevel with a Protractor

  • Measure the wall thickness accurately with a vernier calliper
  • Use a digital bevel protractor or angle gauge on the prepared face
  • Alternatively, measure the cut-back distance and calculate using tan⁻¹
  • Check for consistent bevel around the full pipe circumference
  • Verify root face (land) dimension separately — typically 1–3 mm
  • Record against WPS tolerance: usually ±2.5° for most codes

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