Stress in thick walled cylinders

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    Cylinders Stress
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SUMMARY

The discussion focuses on the rearrangement of the stress equation for thick-walled cylinders, specifically the formula sigma r = (E/1-v^2)*(er-veh). The user seeks assistance in isolating the variable er. After several attempts, they propose the rearranged equation er = (sigma r / Q) + veh, where Q is defined as (E/1-v^2). This final form is confirmed as correct by the community, providing clarity on the manipulation of the equation.

PREREQUISITES
  • Understanding of stress analysis in materials
  • Familiarity with thick-walled cylinder theory
  • Knowledge of the variables E (modulus of elasticity) and v (Poisson's ratio)
  • Basic algebraic manipulation skills
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  • Study the derivation of stress equations for thick-walled cylinders
  • Learn about the implications of Poisson's ratio in material science
  • Explore advanced topics in elasticity theory
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Mechanical engineers, materials scientists, and students studying stress analysis in cylindrical structures will benefit from this discussion.

bluffreggie
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Hi guys,

I found some experimental data on a website the other day and i have been trying to do some calculations.

Im getting suck up on the rearrangement(never been my strong point) and its driving me bonkers!

Any help at all would be appricated.

need to have er as the subject.

sigma r = (E/1-v^2)*(er-veh)

Ive had a go and all I am getting is;

er = sigma r * (1-v^2)+veh all over E

can anyone confirm?

Thanks
 
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if you let (E/1-v^2) = Q then what would happen when you move Q to the other side? the 2nd bracket (er-veh) can now be opened.
 
Right ok then, i have sigma r /Q = er - veh,
then I have

(sigma r/Q)+veh=er

does this look better?
 

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