Test: Thin Cylinder Level - 2 - Mechanical Engineering MCQ

# Test: Thin Cylinder Level - 2 - Mechanical Engineering MCQ

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## 10 Questions MCQ Test Strength of Materials (SOM) - Test: Thin Cylinder Level - 2

Test: Thin Cylinder Level - 2 for Mechanical Engineering 2024 is part of Strength of Materials (SOM) preparation. The Test: Thin Cylinder Level - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Thin Cylinder Level - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Thin Cylinder Level - 2 below.
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Test: Thin Cylinder Level - 2 - Question 1

### A thin cylindrical vessel closed at both ends is subjected to fluid pressure resulting in a hoop stress of 24 N/mm2. The maximum shear stress in the cylinder is

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 1

= 6

Test: Thin Cylinder Level - 2 - Question 2

### A 600 mm diameter pipe contains a fluid at a pressure of 3 N/mm2. If the safe stress in tension is 75 N/mm2, the minimum thickness of pipe is equal to

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 2
Diameter, d = 600mm Pressure,

P = 3 N/mm2 Safe

streee = 75 N/mm2 Minimum thickness, t =?

75 =

t = 12mm

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Test: Thin Cylinder Level - 2 - Question 3

### In a thin cylinder, hoop stress is 48 N/mm2. The max. Shear stress developed in the pipe material is

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 3
σh = 48 N/mm2 , σlongitudinal = σl = 24 N/mm2

Max shear stress,

=12N/mm2

Test: Thin Cylinder Level - 2 - Question 4

A cylinder of internal diameter 2.5m and of thickness 5cm contains a gas. If the tensile stress in the material is not to exceed 80 N/mm2, the internal pressure of the gas should be

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 4

80 =

P= 3.2 N/mm2

Test: Thin Cylinder Level - 2 - Question 5

A pressure vessel in the form of a thin cylinder of 1 m diameter and 1mm plate thickness is subjected to an internal fluid pressure of 0.2MPa. The maximum shear stress in the material is

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 5
d = 1 m = 103 mm t = 1 mm P = 0.2 MPa

τmax =

= 50 MPa

Test: Thin Cylinder Level - 2 - Question 6

A cylinder of thickness 1.5cm has to withstand maximum internal pressure of 1.5 N/mm2. If the ultimate tensile stress in the material of the cylinder is 300 N/mm2, factor of safety 3.0 and joint efficiency 80%, the diameter of the cylinder is

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 6

300/3 =

d = 1600 mm = 160 cm

Test: Thin Cylinder Level - 2 - Question 7

In case of thin walled cylinder the ratio of hoop strain to Volumetric strain is

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 7
Hoop strain,

εh =

Longitudinal strain,

εl =

=

Volumetric strain,

εv = εl + 2εb

=

=

εv=

=

=

Test: Thin Cylinder Level - 2 - Question 8

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 Cylinder Level - 2 - Question 8
For a thin cylinder, longitudinal strain,

εl =

Now,

Test: Thin Cylinder Level - 2 - Question 9

A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 9
Diameter = 400mm t = 20mm

p = 4.5 MPa

Circumferential stresses,

σx =

σx = 45 MPa

Longitudinal stresses,

σy =

σy = 22.5 MPa

Test: Thin Cylinder Level - 2 - Question 10

A water tank, 7000 mm in diameter, is made from steel plates that are 15 mm. thick. Find the maximum height to which the tank may be filled if the circumferential stress is limited to 40 MPa. The specific weight of water is 9800 N/m3

Detailed Solution for Test: Thin Cylinder Level - 2 - Question 10
Diameter = 7000 mm t = 15mm Pressure of water = rh = 9800 h N/m2

Maximum circumferential stress,

= = 40 MPa

40 =

h = 8.75m × 2 = 17.5m

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## Strength of Materials (SOM)

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