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- Thread starter oom kaaspaas
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Thanks for your timely response and sorry for not spesifying. p is the atmospheric pressure,d is the inside diameter(thus excluding the thickness of the cylinder wall) and t is the thickness of the before mentioned wall. It is a valid point that as this is a thin cylinder the circumference rather than the wall area may be used. As such would using the wall area not be more accurate. if so what would such an equation be. My question is in regard to the stress created by a force tending to seperate the left and right halves of the cylinder and as such is called longitudal stress as the direction of the stress is in the direction of the force. My second question is how was this formula pi x d x t derived

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In this case it's assumed that all the load is taken on the circuference, as you say you can use a thick walled solution (which modells the problem more accurately), it's more difficult to solve and the answers are likely to be similar. You will probably find a caveat in the book saying this is valid only when D > 10 or 20T

Say for example, that solving a full stress equation by hand takes you 10 minutes and you get an answer of 100. You could have applied an assumption and solved the problem in 5 minutes and get an answer of 95. Meaning the assumption loses you about 5% accuracy. Before doing this you need to ask yourself is the extra 5% accuracy really worth 100% extra calcualtion time.

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Thanks it makes sense, I still have two more questions on the subject namely how was piXDxT derived and can I use the same equation if there were a force tending to crush the cylinder asuming the t is reasonably smaller than d

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Now only the question if this equation holds for crushing stresses remains and I assume that it will.

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