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A spherical gas container made of steel has a(n) 13-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:the maximum normal stress=62.1 Ksi

maximum Shear stress, τmax=31.05ksi

Step-by-step explanation:

Given pressure of inner vessel=60psi

t=thickness of the wall of the vessel=0.375 in

r = inner radius= d₀/2 -t

d₀=13-ft to inches = 13 x12 =156 in/2

=78 - 0.375

=77.625 in

The maximum normal stress in a spherical container is calculated as

σ=pr/2t

= 60 x 77.625/ 2 x0.375

6210psi / 100 = 62.1 Ksi

maximum Shear stress, τmax = σmax /2

62.1 Ksi/2

=31.05ksi