Reference
U-Groove Volume Calculation:
Semi-circular root area = 0.5 * pi * r^2
Taper area = 0.5 * (bottom width + top width) * straight depth
Bottom width = 2 * root radius
Top width = 2r + 2 * tan(bevel angle) * straight depth
U-groove saves 40-60% weld metal vs V-groove on thick plate