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.

the maximum normal stress=62.1 Ksi

maximum Shear stress,  τmax=31.05ksi

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

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