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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_____

Respuesta :

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 [tex]\sigma _{h}=\frac{Pd}{2t}[/tex]

      Longitudinal stress [tex]\sigma _{l}=\frac{Pd}{4t}[/tex]

So maximum shear tress in plane[tex]\tau _{max}=\dfrac{\sigma _h-\sigma _l}{2}[/tex]

              [tex]\tau _{max}=\dfrac{Pd}{8t}[/tex]

Now by putting the value

       [tex]27.5=\dfrac{4\times 200}{8t}[/tex]

 So   t=3.36 mm

The minimum value of wall thickness t=3.63 mm.

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