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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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akindeleot

Answer:

Maximum Normal Stress Οƒ = 8.16 Ksi

Maximum Shearing Stress Ο„ = 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 Οƒ = PD / 4t

Οƒ = PD / 4t

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

Οƒ = 12,240 / 1.5

Οƒ = 8,160 P/in

Οƒ = 8.16 Ksi

Maximum Shearing Stress Ο„ = PD / 8t

Ο„ = PD / 8t

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

Ο„ = 12,240 / 3

Ο„ = 4,080 P/in

Ο„ = 4.08 Ksi

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