Pressure Vessel Stress Calculations

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  • 7/28/2019 Pressure Vessel Stress Calculations

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    Stress calculations for a 5 foot Long 2 foot in

    diameter cylindrical pressure vessel during

    normal operation pressure of 150 psi

    Hoop Stress or Stress in the Circumferential

    Direction = Pr/t

    With P = 150 psi, r = 12 in, and t = .25 in

    Hoop Stress = 7200 psi

    Axial Stress = Pr/2t

    With P = 150 psi, r = 12 in, and t = .25 in

    Axial Stress = 3600 psi

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    Max pressure calculations for a 5 foot Long

    2 foot in diameter cylindrical pressure

    vessel

    Calculations based on Grade B pipe with aMinimum Yield Strength: 35000 psit = .25 in

    r = 12 in

    Max Pressure based on Hoop Stress = 35000 psiPressure = 729.17 psi

    Max Pressure based on Axial Stress = 35000 psiPressure = 1458.3 psi

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    Stress calculations for 12 in diameter

    spherical end caps during normal operation

    pressure of 150 psi.

    Hoop Stress = Axial Stress = Pr/2t With P = 150 psi, r = 6 in, and t = .25 in

    Hoop Stress = 1800 psi

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    Max pressure calculations for 12 in

    diameter end caps

    Calculations based on Grade b pipe with a

    Minimum Yield Strength: 35000 psi

    t = .25 in

    r = 6 in

    Max Pressure based on Hoop Stress = 35000 psi

    Max Pressure = 2916.7 psi

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    Results

    Based on the previous calculations we have

    determined that the limiting factor in regard

    to max pressure within the pressure vessel is

    the Hoop Stress for the cylindrical pressurechamber. But it is still 3.86 times the intended

    operation pressure of 150 psi.

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    Heating System Selection

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    Convection Incoloy Tubular Heating selected Is most common in commercial autoclaves

    Easily obtained used in home appliances

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    Insulation of Vessel

    Prevent heat from escaping (minimize power required toheat)

    Keep surface temperature low to prevent burning danger

    Can also add outer covering, i.e. sheet metal (extra cost)

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    Insulation Thickness

    0.4 m O.D. corresponds to a 3.5 insulation layer

    Common (R13)

    No real gains if any thicker

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    Heating of Vessel

    Surface temp. at 3.5 thickness is 80F

    Heat loss also levels off at 3.5

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    Total power to maintain max. temp: ~470W

    Total power to heat up air at 15F/min (total 27min): ~1.5kW

    Allowing for thermal mass of

    parts/molds/pipe, ~4-5 kW needed Can easily be run on 240V power

    Elements can be obtained to provide this

    Blowers inside vessel will help maintain

    uniform temp.

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    Estimated Heating System Costs

    63 ft^2 R13 fiberglass ($20)

    4-5kW incoloy tubular heating element ($250)

    Potential sheet metal covering ($125) Shipping, fittings, etc ($125 est.)

    Subsystem estimated total: $400-$500