Question

A spherical pressure vessel is required to contain 1.5 m3 of compressed natural gas at 22 MPa . If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa , what is the required thickness of the tank wall?

Answer 1

The required thickness of the tank wall is 87.7668 mm.

Explanation:

Given :

Volume of vessel is V=1.5 m³.

A spherical pressure vessel is of compressed natural gas at P=22 MPa.

If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa.

i.e.
`\sigma_(max)=150\ Mpa`

To find : What is the required thickness of the tank wall?

Solution :

The diameter of the vessel is given by,

`(d)/(2)=\sqrt{(3V)/(4\pi) }`

`(d)/(2)=\sqrt{(3* 1.5)/(4* 3.14)}`

`(d)/(2)=\sqrt{(4.5)/(12.56)}`

`(d)/(2)=√(0.358)`

`(d)/(2)=0.598`

`d=1.196\ m`

Convert into mm,

`d=1.196* 1000=1196.82\ mm`

The thickness of the wall tank is given by,

`t=(Pd)/(2\sigma)`

`t=(22* 1196.82)/(2* 150)`

`t=(26330.04)/(300)`

`t=87.7668`

Therefore, the required thickness of the tank wall is 87.7668 mm.