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WRC 107 / 537 Nozzle Local Stress Calculator mechanical
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WRC 107 / 537 Nozzle Local Stress Calculator

Calculate local circumferential and longitudinal membrane and bending stresses at cylindrical vessel-nozzle junctions subjected to external piping mechanical loads per WRC 107 / WRC 537.

Vessel & Nozzle Dimensions

NPS 10" = 5.375" radius

External Mechanical Piping Loads

(+) Tension / (-) Compression

Stress Intensity & Compliance

Peak Stress Intensity (Pl + Pb + Q)
-- psi
Status: --
Primary Membrane (Pl)
-- psi
Limit: 1.5 Sm
Secondary Bending (Q)
-- psi
Limit: 3.0 Sm
Non-Dimensional Beta (β = ro / Rm): --
Non-Dimensional Gamma (γ = Rm / T): --
ASME Div 2 Utilization Ratio: -- %
Critical Stress Location: Point C (Circumferential Edge)
--

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Frequently Asked Questions

What is the purpose of WRC Bulletin 107 / 537 in vessel engineering?

WRC 107 (and its modern update WRC 537) provides an analytical method to calculate local stresses in cylindrical and spherical pressure vessel shells caused by external piping mechanical loads (radial thrust, shears, and moments). Standard code formulas only consider internal pressure, whereas WRC 107 evaluates pipe thermal expansion reactions.

What are the ASME Section VIII Division 2 stress evaluation limits?

Local stresses calculated by WRC 107 are categorized per ASME Section VIII Div 2: Primary local membrane stress Pl must not exceed 1.5 * Sm, and primary membrane plus secondary bending stress (Pl + Pb + Q) must not exceed 3.0 * Sm. The 3*Sm limit prevents progressive plastic ratcheting and low-cycle fatigue failure.

When should WRC 297 or Finite Element Analysis (FEA) be used instead of WRC 107?

WRC 107 assumes a rigid cylindrical plug attachment and is valid for diameter ratios d/D up to 0.33 (or beta <= 0.5). For larger nozzles where d/D > 0.5, nozzle wall flexibility significantly redistributes stresses, making WRC 297 or 3D Finite Element Analysis (FEA) mandatory.