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Dent Strain Calculator

B31.8 Appendix R + API 1156 + 49 CFR Repair Criteria

Combined dent strain assessment per ASME B31.8 Appendix R. Plain (smooth) dent off-weld with strain ≤ 6% is acceptable; dents on welds, with metal loss, or above 6% strain trigger repair per 49 CFR 192.711 / 195.422.

Pipe

in
in
psig

Dent Geometry

%OD
in
in

Dent Type

If yes → App R does not apply; use API 579 Part 12.

Equations

Radii of curvature:

R0 = D/2 ; R1 = C²/(8·d) − d/2 ; R2 = L²/(8·d) − d/2

Bending strains:

ε1 = (t/2)·(1/R0 − 1/R1) ; ε2 = −(t/2)·(1/R2)

Extensional (membrane):

ε3 = ½·(d/L)²

Combined inside / outside surface:

εi = √(ε1² − ε123) + (ε23)²) ; εo = √(ε1² + ε1(−ε23) + (−ε23)²)
εtotal = max(εi, εo) · limit 6%