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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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Answer:

Maximum Normal Stress σ = 8.16 Ksi

Maximum Shearing Stress Ï„ = 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 Ï„ = PD / 8t

Ï„ = PD / 8t

Ï„ = (60 psi x 204 in) / (8 x 0.375 in)

Ï„ = 12,240 / 3

Ï„ = 4,080 P/in

Ï„ = 4.08 Ksi

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