RE: Stress analysis

From: <Shivaprakash>
Date: Thu Aug 30 2001 - 21:57:00 EDT

Nope , "lager the flexibility factor the more 'flexible' the component".Intitutively , imagine an pulling an circular bend and making it straight.As you tend towards a straight pipe of the same length the radius increases.An straight pipe has an infinite radius and its flexibility factor is 1 .Remember all these times the length , diameter and thickness of the element under consideration is kept constant.

Duplicating the Flexiblity V/s Bend Radius problem L shape Configuration

I duplicated the L shaped configration .You will notice that the loads in CASE 1 for a long radius elbow is more than CASE 2 for Standard Elbows.Notice the flexibility factors.Hence higher flexibility factor means higher flexibility and lower loads.I am reproducing loads at a single point only.

Configuration
Y = 2000mm
X= 3000mm

Input Data
Pipe Size= 6"
Sch 40
Temp 120 deg C
Pressure None
Material API 5L Gr B

CASE 1 : Long Radius
Radius (2D) = 304.8 mm

In-plane Flexibility Factor =4.943
Out-Plane Flexibility Factor=4.943

In-Plane SIF = 1.87
Out-Plane SIF =1.558

Loads (Forces in lb and moments in lbf)

Fx=-577
Fy=-1703
Fz=0
Mx=0
My=0
Mz=2879




CASE II : Standard Radius
Radius (1.5D) = 228.6 mm

In-plane Flexibility Factor =6.59
Out-Plane Flexibility Factor=6.59

In-Plane SIF = 2.26
Out-Plane SIF =1.888

Loads (Forces in lb and moments in lbf)

Fx=-529
Fy=-1632
Fz=0
Mx=0
My=0
Mz=2698



Shivaprakash C Rao

Tessag Edeleanu

www.edeleanu.com.sg

-----Original Message-----

From: Mark upston [SMTP:mmwind@cnsp.com] Sent: Friday, August 31, 2001 12:09 AM
To: PipingDesign@yahoogroups.com
Subject: RE: [PipingDesign] Stress analysis

Sorry you are mistaken a long radius bend is more flexible than a Short radius
You are correct the Bend flexibility factor is inversely proportional to Bend Radius
but the smaller the flexibility factor the more 'flexible' the component.

Model a simple stress model e.g L system with 2 anchors and observe the loads
when changing the short to long radius bend.

Mark Upston
APPEGGA PE
-----Original Message-----

From: Shivaprakash [mailto:shivaprakashcrao@yahoo.com] Sent: Wednesday, August 29, 2001 11:25 PM To: 'PipingDesign@yahoogroups.com'
Subject: RE: [PipingDesign] Stress analysis

Hi vij ,

  1. Bellows have a life cycle of 1000 while the life cycle of a process plant is 7000. How does caesar take care of the same ?

Caesar II does not take care of the nos of cycles.The Engineer has factor-in the increased cycles during the selection of the expansion joint.After selecting the appropriate model , feed the various stiffness values in the caesar model.An example is given in the link below.

http://www.pipingtech.com/products/expjtcat/expansion_joint-howto-sflex.htm

2. Which has more flexibility - Short radius elbow or a long radius elbow ? Please explain.

The flexibility of a Short Radius Elbow is more.Let us look at the defination of flexibility factor

Flexibiliy Factor is the ratio of the flexibility of bend to that of a straight pipe having the same length and cross section. The bend basically gets its flexibility bcos the cross section gets flattened thus increasing its flexibility.This means that the circumferential stresses is many times that predicted by ordinary bending theory.This is taken care by increased the SIF values factored in in calculating the stresses.
Now if we consider B31.3

Parameter h = ( (Wall thickness) *(Radius of Bend))/square of (mean radius of pipe))
Flexibility Factor = 1.65/h

SIF in plane = 0.9 / (h) to power 2/3

SIF out of plane = 0.75 /(h) to power 2/3

From this it is evident

Flexibility is inversely proportional to Bend Radius ( Larger the Bend Radius lower the Flexibility)

Stress is inversely proportinal to Bend Radius to power 2/3 ( Larger the Bend Radius lower the Stresses)

Hence using a short elbow you will increase the flexibility reducing the terminal loads but at the cost of increased stresses.

3. How to check flange leakage in caesar ? Should we model valve and flange with connecting nodes taking care of gasket compressibility ?

There is a Flange Leakage/Stress Calculation program.It is an independent of the main stress analysis program.You have to feed the external bending and axial loads I think the CNODE concept is not used here.As regards the compressibility of the gasket is considered CAESAR II assumes the gasket to be fairly stiff. Some of the limitations of using this for flange leakage are as follows

a)Cannot be used for ring type joints.
b)Cannot be used for highly flexible gaskets.

Basically flange leakage depends on various factors.ASME checks for the line pressure using the "m" factor.Caesar II uses this as the basis and goes one step further by including the external loads in the final analysis.

You can also use the Equivalent Pressure method using the Rating table to do a casual check.

Shivaprakash C Rao

Tessag Edeleanu

www.edeleanu.com.sg

-----Original Message-----

From: vijay venkatraman [SMTP:v2jay@yahoo.com] Sent: Wednesday, August 29, 2001 11:49 PM To: PipingDesign@yahoogroups.com
Subject: [PipingDesign] Stress analysis

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Get your free @yahoo.com address at http://mail.yahoo.com Received on Thu Aug 30 21:57:00 2001

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