Aclosed cylindrical vessel contains a fluid at a 5mpa pressure. the cylinder, which has an outside diameter of 2500mm and a wall thickness of 20mm, is fabricated from stainless steel [e=193gpa; ν=0.27]. determine the increase in the diameter and the length of the cylinder.

1) Increase in the diameter equals 3.5 mm

2) Increase in the length equals where is the initial length of the vessel.

Step-by-step explanation:

The diametric strain in the vessel is given by

We have

Applying values we get

Similarly axial strain is given by

Applying values we get

Hence The effect of axial strain along the diameter is given by

Applying values we get

hence

Now by definition of strain we have

Increase in the diameter is thus 3.5 mm

Using the same procedure for axial strain we have

Applying values we get

Now by definition of strain we have

where is the initial length of the cylinder.

the answer is d. 75%

77

step-by-step explanation: