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This mock test of Test: Thin Cylinder Level - 1 for Mechanical Engineering helps you for every Mechanical Engineering entrance exam.
This contains 10 Multiple Choice Questions for Mechanical Engineering Test: Thin Cylinder Level - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

In thin cylinder, circumferential stress is x times longitudinal stress, where x is

Solution:
In a thin cylinder,

Hoop stress, σ_{h} =

longitudinal stress σ_{l} =

= 2

QUESTION: 2

If the cylindrical pipe is subjected to internal fluid pressure, the nature of hoop stress is

Solution:
Hoop stress acts along the circumference this stress is tensile in nature.

QUESTION: 3

A thin cylinder with closed ends is subjected to internal pressure and supported at ends as shown in figure. What is the state of stress at point x?

Solution:

No. shear stress, τ Hoop and axial stresses act, both are tensile.

QUESTION: 4

Maximum value of shear stress in thin cylinders is equal to

Solution:
Max. Shear Stress

Max

τ_{max }=

=

QUESTION: 5

A thin cylinder with both ends closed is subjected to internal pressure p. The longitudinal stress at the surface has been calculated as σ_{0} . Maximum shear stress at the surface will be

Solution:
At the surface σ_{a} = σ_{0} σ_{c }= 2σ_{0} P = 0 (radial stress)

τ_{max} = = σ_{0}

QUESTION: 6

If the hoop strain and longitudinal strain in case of a thin cylindrical shell are eh and et then volumetric strain is

Solution:

QUESTION: 7

A pipe having internal diameter d, wall thickness t and internal pressure p, the bursting pressure is

Solution:

QUESTION: 8

A thin cylinder contains fluid at a pressure of 500 MN/m^{2}, internal diameter of the shell is 0.6 m and tensile stress in the materials is to be limited to 9000 N/m2. The shell must have a minimum thickness of nearly

Solution:
σc = 9000

=

t = 16.66 ≃ 17 mm

QUESTION: 9

When is the safe working pressure for a spherical pressure vessel 1.5 m internal diameter and 1.5 cm wall thickness if the maximum allowable tensile stress in vessel is 45 MPa?

Solution:
σall =

P = = 1.8 MPa

QUESTION: 10

What is the safe working pressure for a spherical pressure vessel 1.5m internal diameter and 1.5cm wall thickness, if the maximum allowable tensile stress is 45 MPa?

Solution:
Hoop stress ≤ Maximum allowable tensile stress (for spherical vessel)

P ≤ 1.8 MPa For safe working, pressure should be less than 1.8 MPa

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