Fatigue Analysis in Caesar II
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7/23/2014 Fatigue Analysis in Caesar II | What is Piping
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I have taken up this topic to explain the fatigue analy sis (Click here to read the basic
article on Fatigue Analy sis) methodology using caesar II with an example problem of a
ty pical piping sy stem. To perform fatigue analy sis we need to calculate the thermal and
pressure fluctuations the piping sy stem will undergo in its design life. We have to
calculate the worst possible cy cles from preliminary data prov ided by process/operation
department. Lets assume we received the following data from process for a ty pical piping
sy stem.
Operating cy cle from ambient (40C) to 425C (400,000 cy cles anticipated)
Shutdown external temperature variation from ambient (40C) to -20C (300,000
cy cles anticipated)
Pressurization to 5.5 Bars (400,000 cy cles anticipated)
Pressure fluctuations of plus/minus 1 .5 Bars from the 5.5 Bars (1 ,000,000 cy cles
anticipated)
Now, in order to do a proper fatigue analy sis, these should be grouped in sets of load
pairs which represent the worst-case combination of stress ranges between extreme
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25th Nov ember 201 3 Anup Caesar II 3 Comments
Case Study for Fatigue Analysis in
Caesar II for a typical piping system
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states which we can do in the following way (Refer Attached Figure, Fig.1 for proper
understanding):
Fig. 1 : Explanation of worst case cy cle combination for fatigue analy sis
From -20C, 0 Bars to 425C, 7 Bars. 300,000 Cy cles
From 40C, 0 Bars to 425C, 7 Bars.: 100,000 Cy cles
From 425C, 4 Bars to 425C, 7 Bars: 600,000 Cy cles
From 425C, 4 Bars to 425C, 5.5 Bars: 400,000 Cy cles
So in Caesar II we can define the above data as follows (Refer Fig. 2):
T1= 425C; T2= -20C
P1= 5.5 Bar; P2= 4 Bar and P3= 7 Bar
Fig.2: Caesar II spreadsheet explaining the input requirement
Now go to the load case editor and define load cases as shown in Fig.3 for fatigue analy sis.
Click on load cy cles button to input the number of cy cles calculated above.
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Fig.3: Load cases for Fatigue Analy sis
Dont forget that all load cases with stress ty pe FAT (for fatigue) must have their expected
number of Load Cy cles specified.
After load cases are prepared run the analy sis and find out the results from output
processor. Part of the output results are prov ided in the below attached figures for y our
reference (Fig. 4 and Fig. 5)
The fatigue stress range (Maximum Stress Intensity as calculated in Expansion stress
case) may be checked against the fatigue curve allowable for each fatigue load case as
shown in Fig 4.
Fig 4: Output Screen showing stress range
However, this is not a true evaluation of the situation, because it is not a case of either-
or. The piping sy stem is subjected to all of these load cases throughout its expected
design life, not just one of them. Therefore, we must rev iew the Cumulative Usage report,
which shows the total effect of all fatigue load cases (or any combination selected by the
user) on the design life of the sy stem. Refer Fig 5 for example.
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Fig. 5: Output Screen showing Cumulative usage factor
This report lists for each load case the expected number of cy cles, the allowable number
of cy cles (based upon the calculated stress), and the Usage Ratio (actual cy cles div ided
by allowable cy cles). The Usage Ratios are then summed for all selected load cases; if this
sum exceeds 1 .0, the sy stem has exceeded its fatigue capabilities.
Please prov ide y our inputs in comments section.
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This article has 3 comments
superdry
Thursday 19 December 2013, 6:21 am
Terrific article! That is the typpe of information that are meant to
be shared across the internet.
Reply
PANKAJ TRIPATHI
Friday 10 January 2014, 2:35 pm
Dear sir
as per your example pressure variation you have taken From 425C, 4 Bars to
425C, 7 Bars: 600,000 Cycles
i think you it should be 1000,000 and other pressure case need not to be take care.
Reply
David Diehl
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Monday 17 March 2014, 7:12 pm
Your Figure 5 is not a Cumulative Usage Report.
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