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Test: Thin & Thick Walled Pressure Vessels - 2 - Mechanical Engineering MCQ


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10 Questions MCQ Test Topicwise Question Bank for Mechanical Engineering - Test: Thin & Thick Walled Pressure Vessels - 2

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Test: Thin & Thick Walled Pressure Vessels - 2 - 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 21/3 = 1.26]

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 1


at r = a, σθ is maximum


Thickness of bomb shell

Test: Thin & Thick Walled Pressure Vessels - 2 - Question 2

The radial stress in a thin spherical pressure vessel is

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Test: Thin & Thick Walled Pressure Vessels - 2 - Question 3

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

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 3

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 σh = hoop stress
p = internal fluid pressure
d = Diameter of cylinder
t = Thickness of cylinder

Test: Thin & Thick Walled Pressure Vessels - 2 - Question 4

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

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Test: Thin & Thick Walled Pressure Vessels - 2 - 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

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 5







∴ 

Test: Thin & Thick Walled Pressure Vessels - 2 - Question 6

In above case the longitudinal strain is

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Test: Thin & Thick Walled Pressure Vessels - 2 - 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)?

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 7


Hoop strain,

∴ 

Test: Thin & Thick Walled Pressure Vessels - 2 - Question 8

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

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Test: Thin & Thick Walled Pressure Vessels - 2 - Question 9

The design of thin cylindrical shells is based on

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 9

Since hoop stress (σh) > Longitudinal stress (σL). Hence to have safe design, hoop stress is considered.

Test: Thin & Thick Walled Pressure Vessels - 2 - Question 10

The commonly used technique of strengthening thin pressure vessels is

Detailed Solution for Test: Thin & Thick Walled Pressure Vessels - 2 - Question 10

The commonly used technique of strengthening thin pressure vessels is wire winding. The wire is wound under tension, thus putting the walls of the cylinder under compression. This way, the cylinder is pre-stressed.

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