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A spherical gas container made of steel has a 5-m outer diameter
and a wall thickness of 6 mm. Knowing that the internal pressure
is 350 kPa, determine the maximum normal stress and the maximum
shearing stress in the container. show all steps.

Respuesta :

The calculated values are 62.1 Ksi is the maximum normal stress.

Max. Shear stress is 31.05 ksi.

Assuming inner vessel pressure is 60 psi

t=0.375 in, which is the thickness of the vessel's wall

d0/2 -t where r = inner radius

13 x 12 Equals 156 inches, or d0=13 feet in inches.

=78 - 0.375

=77.625 in

The formula for calculating the maximum normal stress in a spherical container is

σ=pr/2t

= 60 x 77.625/ 2 x0.375

100 / 6210 psi = 62.1 Ksi

Shear tension at its maximum, max = max /2

62.1 Ksi/2

=31.05ksi

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