Question

A pressure cylinder has an outer diameter 200 mm, maximum external pressure 4 MPa, and maximum allowable shear stress 27.5 MPa. Determine the appropriate value of the minimum wall thickness The appropriate value of the minimum wall thickness is_____

Answer 1

Answer:

The minimum value of wall thickness t=3.63 mm.

Explanation:

Given:

  D=200 mm

 P=4 MPa

t= Wall thickness

maximum shear stress=27.5 MPa

We know that

       hoop stress $\sigma _{h}=\frac{Pd}{2t}$

      Longitudinal stress $\sigma _{l}=\frac{Pd}{4t}$

So maximum shear tress in plane$\tau _{max}=\dfrac{\sigma _h-\sigma _l}{2}$

              $\tau _{max}=\dfrac{Pd}{8t}$

Now by putting the value

       $27.5=\dfrac{4\times 200}{8t}$

 So   t=3.36 mm

The minimum value of wall thickness t=3.63 mm.