How do I calculate the deflection of an L-shaped pipeline with added loads?

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To calculate the deflection of an L-shaped pipeline under various loads, the weight of the pipe can be treated as a distributed load, while the flange can be considered a point load. The deflection will also be influenced by any additional downward loads, such as those from contents like water or coal tar pitch. An energy approach, specifically using Castigliano's theorem, is recommended for analyzing the deflection, especially at the elbow. It is crucial to account for both the weight of the pipe and any other loads when determining deflection. Understanding these factors will lead to a more accurate assessment of the pipeline's structural performance.
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Hello,

Uncle have one question.
How to calculate the deflection of the upper flange if the pipe configuration is like the attached picture. How to include the weight of the pipe, can I assume it as the distribution load? And what if there is another load acting downward at the middle of the upper side.

Wollong_House_Pipe_Arrangement.jpg
 
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deflection due to weight? Or heat? what? Full of water? Full of coal tar pitch? Half full?

The most difficult part will be the analysis of the elbow.
 
Hi Travis_King,

Let say I have an empty pipe. So the deflection is just due to the weight of pipe and and the flange, right?.
 
Yep, the weight of the pipe can be considered a distributed load. The flange may be considered a point load.
 
An energy approach (Castigliano) may be your best bet here.
 

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