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In case of a thin cylindrical shell, subjected to an internal fluid pressure, the volumetric strain is equal to 

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ESE Mechanical 2018 Official Paper
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  1. circumferential strain plus longitudinal strain
  2. circumferential strain plus twice the longitudinal strain
  3. twice the circumferential strain plus longitudinal strain 
  4. twice the circumferential strain plus twice the longitudinal strain 

Answer (Detailed Solution Below)

Option 3 : twice the circumferential strain plus longitudinal strain 
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Detailed Solution

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Concept:

When the thin cylinder is subjected to the internal pressure as we have already calculated that there is a change in the cylinder dimensions i.e., longitudinal strain and hoop strains come into the picture. Because of which there will be a change in the capacity of the cylinder or there is a change in the volume of the cylinder.

The volume of a cylinder:

Volumetric strain = Change in volume/Original Volume

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More Analysis of Thin Cylinder Questions

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Q2.If the thin cylindrical shell whose diameter is 'd' is subjected to an internal pressure 'p', then the ratio of longitudinal stress to the hoop stress is-
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More Pressure Vessels Questions

Q1.What is correct for hydrostatic state of stress?
Q2.A cylindrical pipe of diameter 1.5 m and thickness 1.5 cm is subjected to internal fluid pressure of 1.2 N/mm2. Determine the longitudinal stress developed in the pipe.
Q3.If the thin cylindrical shell whose diameter is 'd' is subjected to an internal pressure 'p', then the ratio of longitudinal stress to the hoop stress is-
Q4.A seamless pipe having a diameter of 600 mm and thickness of 9 mm, contain the fluid under a pressure of 4 MPa, find the longitudinal stress developed in the pipe.
Q5.For thin cylindrical shell structures loaded in compression, the design is based on
Q6.A boiler of 1.6 m diameter is made of a 20-mm thick plate. What will be the permissible steam pressure in the boiler in the maximum tensile stress in the plates must NOT exceed 80 MPa?
Q7.For a rivetted thin cylindrical shell of internal diameter (d), thickness of shell wall (t) and internal pressure (P) with efficiency of longitudinal joint (ηl); the hoop (tress σc) will be given by:
Q8.Which among the following stress act along the circumference of the cylinder?
Q9.In thin walled pressure vessels, the longitudinal stress is _______ hoop stress. 
Q10.In a thin cylindrical shell the ratio of hoop stress to longitudinal stress is ;
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