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    Piping Stress Analysis

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    Overview

    What is Flexibility Analysis ?

    Analytical Method to calculate Displacement & Stresses

    Guidelines for lines connected to Critical Equipment

    Fundamentals of Primary & Secondary stresses

    Spring Supports

    Various Load Cases

    Stress Analysis

    Expansion Joints

    Checking Flexibility using Nomographs

    Fundamentals of Buried Pipe Analysis

    Stress Analysis using CAESAR-II

    Stress Analysis- Responsibilities & Methodology

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    Flexibility

    Temperature

    COLD

    HO

    T

    Stress Analysis

    Not Flexible

    Flexible

    What is Flexibility of the Piping System?

    Ability to absorb thermal growth of the piping system

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    Overview

    What is Flexibility of the Piping System?

    Stress Analysis

    Piping system shall be designed to have sufficientflexibility to prevent pipe movements from causing

    failure from overstress, leakage at joints or detrimentaldistortion of connected equipment resulting from

    excessive thrusts and moments

    How to provide Flexibility in the Piping system ?

    By change in direction using BENDS, utilising

    Expansion joints

    Ability to absorb thermal growth of the piping system

    What code states about Flexibility in the Piping system ?

    HOW to conclude whether system is Flexible or not ?

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    Sustained (Primary) Stresses

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    Types of STRESSES in the Piping SystemPrimary Stresses

    Direct Shear and Bending in nature Caused due to-

    Dead Weight Internal Pressure Occasional Load

    Pipe Fluid Piping Component Snow/ Ice

    Wind Seismic Load PRV Thrust

    Secondary Stresses

    Bending (cyclic) in nature Caused due to- Thermal Expansion Equipment Piping System

    Local Stresses

    Localised Bending and Shear in nature Caused due to-

    Local load like load on welded lug on pipe

    Stress Analysis

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    Code Allowable STRESSES

    Primary Stresses

    Checking Criteria

    Secondary Stresses

    Induced Stresses

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    Stress Range- Definition

    COLD

    HOT

    HOT OPERATINGCOLD COLD

    AsInstalled

    Outer fibre-Tension

    At Elbow >>

    Thermal exp.

    Inner fibre- Compr.

    Bending stressesdiminishes due toplastic deformations

    Stresses Relaxed

    At Elbow >>Outer fibre-Compr.

    At Elbow >>

    Thermal contraction

    Inner fibre- Tension

    Stress Loading type - CYCLIC

    Failure type - FATIGUE

    Failure time - Number of Cycle

    Stress Analysis

    Conclusion ?

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    Allowable Stress Range

    Allowable Stress Range ( Sa) = (1.5 x Sh) + (1.5 x Sc) = 1.5 ( Sc +Sh )

    Yield Stress ( Sy ) =1.5 x Allowable Tensile Stress ( Sc or Sh)

    Provision of Primary stresses = Sh

    Reduced allowable = 1.25 ( Sc + Sh) To account for simplification in calcn.

    To account for localised stresses

    Allowable Stress Range ( Sa) = (1.25 Sc + 0.25 Sh ) x f

    f = Stress reduction factor

    = 1 For life cycle up to 7000

    = 0.9 For life cycle 7001 ~ 14000

    = 0.8 For life cycle 14001 ~ 22000 = 0.7 For life cycle 22001 ~ 45000

    = 0.6 For life cycle 45001 ~ 100000

    = 0.5 For life cycle 100001 & over

    Stress Analysis

    COLD

    HOT

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    Stress Evaluation

    Temperature

    COLD

    HOT

    L = x L

    Linear Coef of thermal expn.( Ref. B31.3, Table C-1 )

    Stress = Strain x E

    Young Modulus of Elasticity( Ref. B31.3, Table C-6 )

    Force = Stress x Area

    = 48 (L)2 S / E D

    E D / 48 (L)2S =

    Guided Cantilever Method

    Stress Analysis

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    Stress Evaluation-In & Out Plan Bending, SIF

    Mi

    MtMo

    For safe design Se < = Sa

    Sb = ( Ii x Mi )2+ ( Io x Mo )2 Z

    Ii = SIF factor- In Plane

    Io = Sif factor- Out Plane

    Z = Sectional Modulus of Elasticity

    = 3.142 x ( Do3 - Di3 ) / 32

    B 31.3 Table D-1

    St = Mt / ( 2 x Z )

    Se = Sb2 + 4 x St2

    Stress Analysis

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    Simplified method to check piping system flexibility

    Basis - Code B 31.3 para 319.4.1

    COLD

    HOT

    U

    L

    D x

    ( L - U ) 2< = KI F Then Piping is Flexible

    D = Pipe OD ( mm )

    = Resultant Displacement ( mm )

    L = Developed Length ( mtrs )

    U = Anchor Distance ( mtrs )

    K = 208.3

    Limitations

    Only two point of fixation

    No change in pipe size

    No intermediate restraint

    Stress Analysis

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    Other Methods to check the flexibility

    Using Nomographs

    To perform quick flexibility check

    To estimate preliminary anchor loading for civil structural design

    Highly versatile application program

    To do preliminary exp.. loop sizing on pipe rack at early stage of the job

    To review visual analysis lines to avoid expensive CAESAR analysis

    Results are acceptable to world wide Engineering companies

    Based on Finite Element Analysis Method

    Stress Analysis

    Using Computer application - CAESAR-II

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    Initial Review

    Review Piping Specification Review Piping Study Drawing around critical equipment Identify critical civil structural requirements Review all applicable project standards

    Prepare Preliminary Stress Critical Line List

    Quick check using Excel spreadsheet for Pipe Wall and Br. Reinf. Calculation

    Review Pipe-Rack study layout- Establish preliminary exp.. loop location Establish preliminary Pipe-rack loading for structural design

    Detailed Review

    Identify CAESAR Stress Models- Include group of lines in single model

    Perform detailed stress analysis based on issued stress critical line list

    Analyse visual check lines using simplified manual techniques Communicate with civil, Vessel and Mechanical groups for loading

    Final Approval

    Freeze the stress model based on final isometrics

    Documentation of Input and Output Reports

    Stress Analysis

    General Working Procedures

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    Identify StressCritical Lines-

    Stress Critical Line

    List

    ReviewStress

    Isometric

    Revise thePiping study &

    Isometric

    FreezeSupporting

    arrangement

    Approvethe Stress

    Isometric

    Nozzleloading &

    Civil Loading

    Acceptable ??

    Yes

    No

    Stress Analysis

    General Working Procedures

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    Responsibilities of Stress Engineers

    Nominated by Chief Piping Engineer Responsible for all Stress and Support related activities

    Ensure work carried out per Procedures and Design Basis

    Establish the Contract Design Data and Design Philosophy

    Issue Stress and Support Design Note

    Establish Stress Critical Line List

    Stress Group Progress Reporting, Man-hours allocation and

    Forecast

    Raise the Change order to reflect additional work

    Supervise Stress and Support activities

    Review Piping Specification for Pipe wall thickness and Branch Calc

    Job close-out report for stress and support group

    Stress Analysis

    Stress Lead Engineer

    R

    esp

    o

    nsibil

    ities

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    Nominated by Chief Piping Engineer/Lead Stress Engineer

    Carry out Flexibility analysis

    Identify all the load cases to be considered in analysis

    Review Study Drawing to ensure sufficient flexibility in critical piping

    Identify and review all critical piping supports Summarise Equipment Nozzle Loading communicate to others

    Perform flange leakage calculation for high pressure piping

    Communicate critical support loading to Civil

    Prepare Spring Schedule/Bellow Specification for procurement

    Identify requirement of reinforcement pad due to stress consideration

    Decide on position of Fixed saddle of horizontal Heat Exch.. and Vessels

    Review Vendor data regarding nozzle loading etc..

    Documentation of Analysis Reports

    Stress Analysis

    Responsibilities of Stress Engineers Stress Engineer

    R

    esp

    o

    nsibil

    ities

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    SPRING Supports

    Spring Hangers/ supports

    Why required ? ? ?

    Variable Type Constant Force Type

    Types of Spring supports

    Principle of working

    Terminology

    Cold Load Hot Load

    Spring Rate Travel

    Instruction for Field Installations

    Technical Specification

    Stress Analysis

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    Expansion Bellows

    Why to use ? ? ?

    Instruction for Field Installations

    Why NOT to use ? ? ?

    Metallic Bellow

    Material of Construction Non- Metallic ( Rubber / Fabric )

    Axial Types of Metallic Bellows

    Universal Tied Swing

    Hinged Gimbal Pressure Balanced

    Selection Criteria

    Technical Specification

    Stress Analysis

    Back Thrust of Un-tied bellow

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    Piping Supports

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    Pipe Supports

    Purpose of Support

    Pipe support Instructions and Design Guide

    Type of Supports

    Pipe support Standard

    Pipe Support - Trunnion Calculation

    Pipe Support - Span Table

    Overview

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    Purpose of Pipe supports

    Purpose

    To Support dead weight of Piping system

    To absorb wind load and Seismic load

    To absorb Vibration in the Piping system

    To Suppress the Noise level in the Pulsating Piping systems

    To take Expansion load in the Piping system

    To absorb Hydraulic Thrust in the Piping system

    To Support the system during Shut down/ Maintenance Cond.

    To absorb the Pressure Thrust of Bellow

    To minimise Pipe Sagging

    Pipe Supports

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    Types of Pipe supports

    Based on Functions

    Loose or Resting supports Longitudinal Guide Supports Transverse Guide Supports Anchor Supports Limit Stops

    Welded Type

    Non- Welded Type

    Based on Construction

    Rigid Support

    Adjustable Supports

    Elastic Supports

    Bolted Type

    Welded Type

    Constant Type Variable Type Snubber Type

    Pipe Supports

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    Types of Pipe supports- Details

    U-Bolts and Clamps Shoe Rod Hangers

    Welded Type Clamped Type

    Secondary Supports

    Attachment from Steel Structures

    Attachment from RCC Structures

    Attachment from Equipment

    Primary Supports

    Attachment from Grades

    Other Supports

    Trunnion Supports

    PTFE Sliding Supports

    Pipe Supports