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QUESTION: 1

What is the thickness of the shell of a bomb calorimeter of spherical form of 10 cm inside diameter if the working stress is σMPa and the internal pressure is σ/2 MPa? [Take 2^{1/3} = 1.26]

Solution:

at r = a, σ_{θ} is maximum

Thickness of bomb shell

QUESTION: 2

The radial stress in a thin spherical pressure vessel is

Solution:

QUESTION: 3

Hoop stress in a thin cylinder of diameter dand thickness t subjected to pressure p will be

Solution:

Due to fluid pressure p in the cylinder bursting force = p x d x L

This is resisted by thickness of cylinder Resisting force = σh(2t x L).

For equilibrium

Resisting force = Bursting force

where σ_{h} = hoop stress

p = internal fluid pressure

d = Diameter of cylinder

t = Thickness of cylinder

QUESTION: 4

Longitudinal stress in a thin cylinder of diameter d and thickness t subjected to pressure p will be

Solution:

QUESTION: 5

A thin cylindrical shell of internal diameter d and thickness ‘t’ is subjected to internal pressure ‘p’. The change in diameter is given by

Solution:

∴

QUESTION: 6

In above case the longitudinal strain is

Solution:

QUESTION: 7

A thin cylindrical shell of diameter d, length L and thickness t is subjected to an internal pressure p. What is the ratio of longitudinal strain to hoop strain in terms of Poisson’s ratio (1/m)?

Solution:

Hoop strain,

∴

QUESTION: 8

The volumetric strain in case of a thin cylindrical shell of diameter d, thickness t, subjected to internal pressure p is

Solution:

QUESTION: 9

The design of thin cylindrical shells is based on

Solution:

Since hoop stress (σ_{h}) > Longitudinal stress (σ_{L}). Hence to have safe design, hoop stress is considered.

QUESTION: 10

The commonly used technique of strengthening thin pressure vessels is

Solution:

### Introduction to Thin Walled Pressure Vessels

Video | 06:42 min

### Pressure Vessels (Thin Cylinder)

Doc | 2 Pages

### PPT: Pressure Vessels (Thin Cylinder)

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