A cylindrical tank is required to contain a gage pressure 640 kPa . The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa . If the inner diameter of the tank is 2.6 m , what is the minimum thickness, t, of the wall?

Respuesta :

Answer:

t = 5.55 mm

Explanation:

given,

Gauge pressure (P)=640 kpa  

Allowable normal stress =150 Mpa.  

Inner diameter of tank =2.6 m.  

Minimum thickness of wall. = ?

In case of closed cylinders there are two cases.

one is Circumferential stress and another one is longitudinal stress.

According to circumferential stress

[tex]\sigma =\dfrac{pd}{2t}[/tex]

Where

p=pressure, d=diameter, t= thickness,

by substituting all values we get,  

[tex]t=\dfrac{pd}{2\sigma }[/tex]

[tex]t=\dfrac{640\times 10^3\times 2.6}{2\times 150\times 10^{6}}[/tex]

t = 5.55 mm

minimum thickness of the wall is equal to t = 5.55 mm