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During the design of spherical pressure vessel for space programs, a primary criterion is the mass of the vessel (which determines how much it costs to put it into the orbit). Given the stress in a thin walled spherical vessel is tensile and given by:

Sagot :

Tensile stress in a thin wall spherical shell is given by

σ = ( p r ) /2t

Tensile stress

This is the type of stress that involves pulling out. it is the opposite of compressive stress.

The tensile stress, σ  at the circumference of the shell is the hoop stress. The value equals that of pressure acting on the area.

Therefore:

σ * 2πr * t = p * πr^2

where

2πr = circumference of a circle

πr^2 = area of a circle

p = internal pressure

t = thickness

σ * 2πr * t = p * πr^2

σ = ( p r ) /2t

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