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19 July, 06:37

A spherical gas-storage tank with an inside diameter of 9 m is being constructed to store gas under an internal pressure of 1.50 MPa. The tank will be constructed from steel that has a yield strength of 340 MPa. If a factor of safety of 3.0 with respect to the yield strength is required, determine the minimum wall thickness required for the spherical tank.

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  1. 19 July, 07:10
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    Answer: 33 mm

    Explanation:

    Given

    Diameter of the tank, d = 9 m, so that, radius = d/2 = 9/2 = 4.5 m

    Internal pressure of gas, P (i) = 1.5 MPa

    Yield strength of steel, P (y) = 340 MPa

    Factor of safety = 0.3

    Allowable stress = 340 * 0.3 = 102 MPa

    σ = pr / 2t, where

    σ = allowable stress

    p = internal pressure

    r = radius of the tank

    t = minimum wall thickness

    t = pr / 2σ

    t = 1.5*10^6 * 4.5 / 2 * 102*10^6

    t = 0.033 m

    t = 33 mm

    The minimum thickness of the wall required is therefore, 33 mm
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