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

Answer:

The required thickness of the tank wall is 87.7668 mm.

Step-by-step 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,

$\frac{d}{2}=\sqrt{\frac{3V}{4\pi} }$

$\frac{d}{2}=\sqrt{\frac{3\times 1.5}{4\times 3.14}}$

$\frac{d}{2}=\sqrt{\frac{4.5}{12.56}}$

$\frac{d}{2}=\sqrt{0.358}$

$\frac{d}{2}=0.598$

$d=1.196\ m$

Convert into mm,

$d=1.196\times 1000=1196.82\ mm$

The thickness of the wall tank is given by,

$t=\frac{Pd}{2\sigma}$

$t=\frac{22\times 1196.82}{2\times 150}$

$t=\frac{26330.04}{300}$

$t=87.7668$

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