Stress analysis for a Bent Pipe

In summary, the conversation is about a group project on designing a gooseneck for a sub-sea pipeline. The design includes a stress analysis, which has proven to be challenging for the group. They have been able to calculate for some factors, but are unsure about calculating for shear and axial stresses. They are asking for feedback and additional calculations to improve their stress analysis. The conversation also mentions that a curved beam is being analyzed, which requires different formulas than a regular straight beam. Resources for understanding curved beam analysis are also provided.
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Runeforged
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I am a student currently working on a group project regarding the design of a gooseneck for a sub-sea pipeline. For those not familiar, a gooseneck is essentially a 45 degree bent pipe, to be used as a connection between a manifold and a longer pipeline (a flexible riser). part of this design is a stress analysis to prove its strength. This has proven to be much harder than anticipated, so i would like to ask for some pointers.

We already know our bending moment, tension and shear.

So far we've been able to calculate for burst pressure,longitudinal and combined longitudinal loads, collapse pressure (all from the API standard 1111), and bending stress. We have however not been able to calculate for shear stresses (would calculating the hoop stress be sufficient for this?) and axial stresses, how would we go about this? Any other calculation you feel need to be added for a more complete stress analysis? Any feedback is welcome as we are very much amateurs when it comes to mechanical engineering.

Below is a force diagram of how we've understood the forces acting on the pipe.

10833920_10203974435375861_7346814_n.jpg
 
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It looks like you've got a curved beam here, which is analyzed in a slightly different manner than a regular straight beam. Things like the location of the neutral axis and calculating the bending stress in a curved beam use different formulas than the regular formulas every engineering student is taught about straight beams.

Most of this stuff gets taught in advanced strength of materials courses, but here are some articles to show some of the basics:

https://www.clear.rice.edu/mech400/Winkler_curved_beam_theory.pdf

http://www.roymech.co.uk/Useful_Tables/Beams/Curved_beams.html

Googling "curved beam bending" and such will bring up additional articles.
 
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1. What is stress analysis for a Bent Pipe?

Stress analysis for a Bent Pipe is a process used to determine the structural integrity of a pipe that has been bent or curved. It involves calculating the internal stresses and deformations that occur in the pipe as a result of the bending process. This analysis is important in ensuring the pipe can withstand the expected loads and pressures without failing.

2. What factors affect the stress analysis of a Bent Pipe?

The factors that affect stress analysis for a Bent Pipe include the material properties of the pipe, the geometry and dimensions of the pipe, the type of bending process used, and the expected loads and pressures the pipe will be subjected to. Other external factors such as corrosion or temperature changes may also have an impact on the stress analysis.

3. How is stress analysis for a Bent Pipe performed?

Stress analysis for a Bent Pipe is typically performed using computer-aided engineering (CAE) software. This software uses mathematical models and algorithms to simulate the behavior of the pipe under different loading conditions. The results of the analysis are then compared to the allowable stress limits for the specific material and design of the pipe.

4. What are the benefits of stress analysis for a Bent Pipe?

The benefits of stress analysis for a Bent Pipe include ensuring the structural integrity and safety of the pipe, identifying potential failure points and areas of high stress, and optimizing the design to reduce costs and improve performance. It also allows for the evaluation of different bending methods and materials to determine the most suitable option for a specific application.

5. What are some common challenges in stress analysis for a Bent Pipe?

One of the most common challenges in stress analysis for a Bent Pipe is accurately modeling the complex geometry and varying loading conditions of the pipe. This requires advanced software and expertise in finite element analysis techniques. Another challenge is obtaining accurate material properties and understanding the effects of material variations on the stress analysis results.

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