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20 December, 02:01

A spherical gas container made of steel has a (n) 17-ft outer diameter and a wall thickness of 0.375 in. Knowing that the internal pressure is 60 psi, determine the maximum normal stress and the maximum shearing stress in the container.

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  1. 20 December, 02:02
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    Maximum Normal Stress σ = 8.16 Ksi

    Maximum Shearing Stress τ = 4.08 Ksi

    Explanation:

    Outer diameter of spherical container D = 17 ft

    Convert feet to inches D = 17 x 12 in = 204 inches

    Wall thickness t = 0.375 in

    Internal Pressure P = 60 Psi

    Maximum Normal Stress σ = PD / 4t

    σ = PD / 4t

    σ = (60 psi x 204 in) / (4 x 0.375 in)

    σ = 12,240 / 1.5

    σ = 8,160 P/in

    σ = 8.16 Ksi

    Maximum Shearing Stress τ = PD / 8t

    τ = PD / 8t

    τ = (60 psi x 204 in) / (8 x 0.375 in)

    τ = 12,240 / 3

    τ = 4,080 P/in

    τ = 4.08 Ksi
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