3D render of a bolted flange connection with Caesar II stress analysis overlay for NC 3658.3 evaluation.
Author: Atul Singla | Piping Engineering Expert | Updated: May 2026
Caesar II NC 3658.3 Flange Leakage Analysis

Mastering NC 3658.3 Flange Leakage Evaluation in Caesar II

NC 3658.3 Flange Leakage Evaluation: This methodology provides a standardized, code-compliant approach under ASME Section III for verifying the structural integrity and leak-tightness of bolted flange connections subjected to external piping loads. By comparing combined external bending moments and axial forces against allowable limits, it ensures nuclear-grade piping systems maintain pressure boundary integrity during design and service transients.

In my 20 plus years of piping stress analysis, I have seen countless engineers rely solely on standard pressure-temperature ratings from ASME B16.5 to qualify bolted joints. While that works for low-energy utility lines, it is a recipe for disaster when dealing with high-pressure, high-temperature, or nuclear-grade piping. External piping loads—such as thermal expansion, seismic movements, and water hammer—exert massive bending moments and axial forces directly onto the flange face. These forces can easily pry the gasket seat open, leading to catastrophic leaks even if the internal pressure is well within the nominal rating.

To address this, the ASME Section III Subsection NC-3658.3 code provides a rigorous mathematical framework to evaluate flange leakage. When implemented in Caesar II, this method automates the tedious task of calculating allowable external moments and comparing them against actual operating loads. In this guide, I will walk you through the core physics of this method, how to configure it in Caesar II, and how to interpret the results to ensure your piping systems remain completely leak-free.

What You Will Learn in This Guide

  • The underlying structural mechanics of the ASME Section III NC 3658.3 code.
  • How to calculate equivalent pressure limits and allowable external moments.
  • Step-by-step configuration of flange parameters in the Caesar II input processor.
  • How to avoid common modeling pitfalls that lead to unsafe or overly conservative designs.
  • Real-world field strategies to resolve flange leakage failures without upgrading flange classes.



Interactive Engineering Quiz
EPCLAND Portal
Question 1 of 3

In CAESAR II, when performing a flange leakage evaluation using the ASME Section III NC-3658.3 method, which of the following statements correctly describes how the allowable external bending moment (Mfs) is calculated and its dependency on bolt properties?




ASME Section III NC 3658.3 Methodology Explained

Why Use NC 3658.3 Flange Leakage Evaluation for Piping?

ASME Section III NC 3658.3 Method: This structural evaluation protocol establishes the maximum permissible external bending moments and axial forces that a bolted flange joint can sustain without experiencing leakage or structural failure. It utilizes the bolt area, gasket dimensions, and material yield strength to calculate a dynamic equivalent pressure limit for nuclear and high-pressure non-nuclear piping applications.

The beauty of the NC 3658.3 method lies in its focus on the weakest link of any flange assembly: the bolts. Unlike other methods that treat the flange as a rigid disk, this code recognizes that flange leakage is primarily driven by bolt elongation under external bending moments. When an external moment is applied, it attempts to rotate one flange relative to the other, compressing the gasket on one side and unloading it on the opposite side. If the unloading force exceeds the initial bolt preload, the gasket loses its seal, and leakage occurs.

To prevent this, the ASME NC 3658.3 code establishes a strict limit on the external bending moment. For flanges with high-strength bolts (where the bolt material yield strength at design temperature is greater than 20,000 psi), the allowable external bending moment is calculated using the following plain-text formula:

Mfs is less than or equal to 3125 times (Sy divided by 36000) times C times Ab

Where:

  • Mfs: Allowable external bending moment (inch-pounds) under design and service loadings.
  • Sy: Yield strength of the bolt material at the design temperature (psi).
  • C: Bolt circle diameter (inches).
  • Ab: Total cross-sectional area of the bolts (square inches), calculated using the root diameter or thread pitch area.

If the actual external bending moment (calculated by Caesar II as the vector sum of the torsional and bending moments) exceeds this limit, the joint is considered non-compliant. For standard operating conditions, the code also introduces an equivalent pressure check, where the external loads are converted into an equivalent internal pressure and added to the design pressure.

FIELD WARNING: Bolt Yield Strength De-rating
In my field audits, I frequently find stress engineers using the ambient yield strength of the bolt material (such as 105,000 psi for ASTM A193 B7) instead of de-rating it for the actual operating temperature. At 700 degrees Fahrenheit, the yield strength of B7 drops significantly. Failing to de-rate this parameter in Caesar II will result in an overestimation of the allowable moment, leading to potential joint failure during hot operations.
ASME NC 3658.3 Flange Leakage Formula Workflow

Comparing NC 3658.3 with Other Evaluation Methods

It is important to understand where NC 3658.3 fits compared to other common flange evaluation methods like the Kellogg Equivalent Pressure method or ASME Section VIII Appendix 2. The Kellogg method is a simplified geometric approach that converts external moments into an equivalent pressure using a simple force balance. While useful for quick checks, it does not account for bolt material properties or yield limits.

ASME Section VIII Appendix 2, on the other hand, is an incredibly detailed design method that calculates flange stresses, hub stresses, and gasket seating stresses. However, it is highly complex and requires extensive geometric inputs that are often unavailable during the piping stress analysis phase. The NC 3658.3 method strikes the perfect balance: it is highly accurate because it incorporates actual bolt material properties, yet it is simple enough to execute quickly using standard flange dimensions.

ASME NC 3658.3 Design Parameters & Bolt Allowables

To perform an accurate evaluation, you must input precise material properties and geometric data. The table below outlines the typical yield strengths for common bolt materials at various design temperatures per ASME Section II Part D, along with their corresponding allowable limits.

Bolt Material Specification Temperature (Fahrenheit) Yield Strength Sy (psi) Allowable Stress S (psi) Code Compliance Category
ASTM A193 Grade B7 (High Strength) 100 105,000 25,000 ASME Sec III / VIII
ASTM A193 Grade B7 (High Strength) 500 92,000 25,000 ASME Sec III / VIII
ASTM A193 Grade B7 (High Strength) 700 83,500 23,000 ASME Sec III / VIII
ASTM A193 Grade B8 Class 1 (Stainless) 100 30,000 18,800 ASME Sec III / VIII
ASTM A193 Grade B8 Class 1 (Stainless) 500 19,500 14,200 ASME Sec III / VIII

Technical Mapping & Specifications Matrix

When setting up your model in Caesar II, you must map the physical parameters of your piping isometric to the software’s input fields. The matrix below shows this mapping along with the corresponding ASME NC 3658.3 variables.

Caesar II Input Field ASME NC 3658.3 Variable Physical Parameter Description Required Engineering Unit Source Document
Flange Type N/A Welding Neck, Slip-on, or Blind Dimensionless Piping Class Specification
Bolt Circle Diameter C Diameter of the circle passing through bolt centers Inches or Millimeters ASME B16.5 / B16.47
Total Bolt Area Ab Sum of the root areas of all flange bolts Square Inches or Square Millimeters ASME B1.1 Thread Specs
Bolt Yield Strength Sy Yield strength at design temperature psi or MPa ASME Section II Part D
Gasket Contact Diameter G Mean diameter of the gasket contact face Inches or Millimeters ASME B16.21 / Manufacturer

Caesar II Flange Leakage Setup Checklist

Step-by-Step NC 3658.3 Flange Leakage Evaluation in Caesar II

Caesar II Flange Leakage Setup: This configuration process involves defining the flange geometry, bolt material properties, and design load cases within the Caesar II piping stress analysis software. It ensures that the software correctly applies the ASME Section III NC 3658.3 equations to evaluate joint integrity under combined thermal, sustained, and occasional load cases.

To execute this analysis flawlessly, I have developed a standardized checklist that our engineering teams use on every major project. This checklist ensures that no critical inputs are missed and that the software is configured to output highly accurate, code-compliant results.

Pre-Analysis & Input Verification Checklist

Verify Flange Standard and Rating: Cross-reference the piping isometric with the piping class specification to confirm the flange rating (e.g., Class 150, 300, 600) and standard (ASME B16.5 or B16.47).

Extract Bolt Circle Diameter (C): Do not guess this value. Extract it directly from ASME B16.5 tables based on the nominal pipe size and pressure class.

Calculate Total Bolt Area (Ab): Multiply the number of bolts by the root area of a single bolt. Ensure you use the root area, not the nominal outer diameter area, to remain conservative.

De-rate Bolt Yield Strength (Sy): Look up the yield strength of your bolt material at the design temperature in ASME Section II Part D. Input this de-rated value into Caesar II.

Configure Load Cases: Ensure your load cases in Caesar II include Sustained (SUS), Expansion (EXP), and Occasional (OCC) combinations. The NC 3658.3 evaluation must be run against all operating and occasional scenarios.

Select NC 3658.3 in Caesar II: In the Flange Leakage module, explicitly select “ASME Sec III NC 3658.3” as the evaluation method. Do not leave it on the default “Kellogg” setting.

Field Case Study: Real-World Application

Field Case Study: Real-World Application

The Problem: Recurring Steam Leakage
During the commissioning of a high-pressure steam line (12-inch, Class 600, operating at 650 degrees Fahrenheit) in a power generation facility, the plant experienced recurring flange leakage at the turbine inlet connection during startup transients. The initial design team had qualified the piping system using standard ASME B16.5 pressure-temperature ratings, which showed the flange was operating at only 65% of its nominal pressure capacity. However, they completely ignored the massive thermal expansion moments acting on the turbine nozzle during heat-up.
The Solution: NC 3658.3 Re-Evaluation & Layout Optimization
I was brought in to troubleshoot the issue. We modeled the entire piping system in Caesar II and performed a dedicated flange leakage evaluation using the ASME Section III NC 3658.3 method. The analysis revealed that while the internal pressure was safe, the combined thermal bending moment at the turbine inlet flange exceeded the NC 3658.3 allowable limit by 42% during the startup transient.

Instead of recommending an expensive and time-consuming upgrade to a Class 900 flange (which would have required modifying the turbine nozzle), we redesigned the piping layout. By adding a flexible expansion loop and optimizing the locations of the rigid structural supports, we reduced the thermal expansion moment at the flange by 55%.

The revised Caesar II analysis showed that the actual bending moment dropped well below the NC 3658.3 allowable threshold. During the subsequent plant startup, the flange remained completely leak-free, saving the client hundreds of thousands of dollars in downtime and hardware modifications. This case highlights why relying solely on nominal pressure ratings is a dangerous practice and underscores the value of performing a rigorous NC 3658.3 evaluation.

Frequently Asked Engineering Questions

What is the primary difference between ASME NC 3658.3 and ASME Section VIII Appendix 2?

The primary difference lies in the scope and complexity. ASME Section VIII Appendix 2 is a detailed design code used to calculate flange thickness, hub dimensions, and gasket seating stresses under internal pressure. In contrast, ASME Section III NC 3658.3 is an evaluation code specifically designed to assess the impact of external piping loads (bending moments and axial forces) on already-designed standard flanges (like ASME B16.5). It focuses on bolt yield strength and bolt circle geometry, making it far more practical for piping stress analysts.
Can I use the NC 3658.3 method for non-nuclear piping systems?

Yes, absolutely. While NC 3658.3 originates from the ASME Section III nuclear code, it is widely adopted in non-nuclear, high-pressure, and high-temperature process piping systems (governed by ASME B31.3 or B31.1). It provides a highly reliable and conservative method for qualifying critical bolted joints subjected to severe thermal expansion or dynamic occasional loads.
How does Caesar II calculate the equivalent pressure for flange leakage?

Caesar II calculates equivalent pressure by converting the external bending moment and axial force into an equivalent internal pressure using the formula: Peq = P + (4 * M) / (pi * G^3) + F / (pi * G^2). It then compares this total equivalent pressure against the allowable pressure rating of the flange at the operating temperature. For the specific NC 3658.3 method, it compares the actual moment directly against the allowable moment limit calculated from bolt area and yield strength.
What bolt yield strength should I use if the temperature varies across load cases?

You must use the bolt yield strength (Sy) corresponding to the specific temperature of each load case. For example, during a cold shutdown case, you should use the ambient yield strength. For a hot operating case, you must use the de-rated yield strength at the operating temperature. Caesar II allows you to input temperature-dependent material properties to ensure accurate evaluation across all analyzed states.
Why does NC 3658.3 require the bolt circle diameter instead of the gasket contact diameter?

The NC 3658.3 method focuses on the structural capacity of the bolting system to resist flange rotation. Because the bolts are located along the bolt circle diameter (C), this dimension represents the true moment arm for the resisting force exerted by the bolts. Using the bolt circle diameter provides a direct and mathematically accurate representation of the joint’s structural resistance to external bending moments.
How do I resolve a flange leakage failure in Caesar II without changing the flange class?

If a flange fails the NC 3658.3 evaluation, you can resolve it by:

  • Increasing piping flexibility (adding expansion loops or offsets) to reduce thermal moments.
  • Optimizing support locations or adding guides to redirect thermal growth away from the flange.
  • Upgrading the bolt material to a higher yield strength specification (e.g., from B8 to B7) if temperature limits allow.
  • Using spring hangers to absorb vertical thermal expansion loads.

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Atul Singla - Piping EXpert

Atul Singla

Senior Piping Engineering Consultant

Bridging the gap between university theory and EPC reality. With 20+ years of experience in Oil & Gas design, I help engineers master ASME codes, Stress Analysis, and complex piping systems.