How can I estimate the bending stress for a hollow tube under uniform load?

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SUMMARY

The discussion focuses on estimating the bending stress for a hollow tube with a diameter of 38 mm and a thickness of 4 mm subjected to a uniform distributed load (UDL) of 500 N/m². The material is mild steel with a Young's modulus (E) of 200 GPa and a Poisson's ratio of 0.3. Participants suggest using Castigliano's method for statically indeterminate structures and propose approximating the problem as a simply supported beam to obtain upper and lower bounds for the bending stress and deformation. Finite Element Analysis (FEA) in 3D is also recommended for validation.

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  • Understanding of bending stress calculations in structural engineering
  • Familiarity with Castigliano's theorem for statically indeterminate structures
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  • Basic concepts of material properties, including Young's modulus and Poisson's ratio
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parch
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Dear All,

Please see the picture. I need to find the bending stress for that profile.

Its hollow tube dia= 38 mm, 4 mm thick. its is acted with udl of 500 N/m2 on its outer surface.
How can I estimate the bending stress, deformation. Assume it as mild steel with E = 200 Gpa, poission ratio = 0.3.

I am trying to validate this with FEA in 3d.
Kindly share your ideas. Thank you in advance.
 

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It's statically indeterminate so you can use a method for those types of problems. Maybe Castigliano's.

Or, you could get upper and lower bounds by treating the bends as rigid and pin-jointed. Then it's an easy simply supported beam problem.
 

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