Pressure Vessels

  1. 1. The problem statement, all variables and given/known data
    A cylinder has an internal diameter of 30mm and an external diameter of 50mm and is subject to an internal pressure which is 60MPa above that in the air surrounding the cylinder. Determine the radial and hoop stresses at the inner and outer surfaces.

    2. Relevant equations
    Basically i know:
    internal radius in know as r1
    external radius is r2

    radial stress: pr1 squared/r2squared-r1squared X (r squared - r2 squared/ r squared)

    hoop stresses : pr1 squared/r2squared-r1squared X (r squared + r2 squared/ r squared)

    I dont know if these two equations are correct hopefully somebody could clarify this for me because the working out should be simple when this is known.

    3. The attempt at a solution
    I dont know what "r" is?
    If i knew that i could take a stab at the equations hopefully somebody could give me two answers and if the equations are correct and two answers and i will do it myself to check this. Thanks
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. ShawnD

    ShawnD 986
    Science Advisor

    Radius is half the diameter, which would be 15mm and 25mm. I don't know if your formula is correct but make sure you keep the units consistent; I think MPa requires that you work in meters (m), not milimeters (mm).
     
  4. Yeah ive got that. I mean "r" on its own in the equation. I know the values for r1 - 0.015m
    r2 - 0.025m
    Internal pressure - 60x10 to the power of 6 Nm2
     
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