Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Test: Thin Cylinders & Thick Cylinders - 1 - Mechanical Engineering MCQ

Test: Thin Cylinders & Thick Cylinders - 1 - Mechanical Engineering MCQ


Test Description

20 Questions MCQ Test - Test: Thin Cylinders & Thick Cylinders - 1

Test: Thin Cylinders & Thick Cylinders - 1 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Thin Cylinders & Thick Cylinders - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Thin Cylinders & Thick Cylinders - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Thin Cylinders & Thick Cylinders - 1 below.
Solutions of Test: Thin Cylinders & Thick Cylinders - 1 questions in English are available as part of our course for Mechanical Engineering & Test: Thin Cylinders & Thick Cylinders - 1 solutions in Hindi for Mechanical Engineering course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Thin Cylinders & Thick Cylinders - 1 | 20 questions in 60 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study for Mechanical Engineering Exam | Download free PDF with solutions
Test: Thin Cylinders & Thick Cylinders - 1 - Question 1

A thin cylinder of inner radius 500 mm and thickness 10 mm is subjected to an internal pressure of 5 MPa. The average circumferential (hoop) stress in MPa isb

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 1

Inner radius (r) = 500 mm
Thickness (t) = 10 mm
Internal pressure (p) = 5 MPa

Hoop stress 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 2

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is 

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Thin Cylinders & Thick Cylinders - 1 - Question 3

A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2. The self-weight of the cylinder is negligible. The formula for hoop stress in a thin-walled cylinder can be used at all points along the height of the cylindrical container.

The axial and circumferential stress (σac ) experienced by the cylinder wall at middepth (1 m as shown) are 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 3

Test: Thin Cylinders & Thick Cylinders - 1 - Question 4

Match List-I with List-II and select the correct answer:

Test: Thin Cylinders & Thick Cylinders - 1 - Question 5

A thin cylindrical shell is subjected to internal pressure p. The Poisson's ratio of the material of the shell is 0.3. Due to internal pressure, the shell is subjected to circumferential strain and axial strain. The ratio of circumferential strain to axial strain is: 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 5

Circumferential strain 

Longitudinal strain,

Test: Thin Cylinders & Thick Cylinders - 1 - Question 6

When a thin cylinder of diameter 'd' and thickness 't' is pressurized with an internal  pressure of 'p',    is the Poisson's ratio and E is the modulus of elasticity), then

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 6

Ratio of longitudinal strain to circumferential strain

Circumferential strain, 

Longitudinal strain, 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 7

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

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 7

Test: Thin Cylinders & Thick Cylinders - 1 - Question 8

A penstock pipe of 10m diameter carries water under a pressure head of 100 m. If the wall thickness is 9 mm, what is the tensile stress in the pipe wall in MPa?

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 8

Tensile stress in the pipe wall = Circumferential stress in pipe wall = Pd/2t

Where,

Test: Thin Cylinders & Thick Cylinders - 1 - Question 9

A seamless pipe of diameter d m is to carry fluid under a pressure of p kN/cm2. The necessary thickness t of metal in cm, if the maximum stress is not to exceed σ kN/cm2, is

Test: Thin Cylinders & Thick Cylinders - 1 - Question 10

In strain gauge dynamometers, the use of how many active gauge makes the dynamometer more effective?

Test: Thin Cylinders & Thick Cylinders - 1 - Question 11

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

(Where E = Modulus of elasticity, μ = Poisson's ratio for the shell material) 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 12

From design point of view, spherical pressure vessels are preferred over cylindrical pressure vessels because they

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 12

Explanation:

Spherical pressure vessels have a shape that allows for equal distribution of stress across their surface. This is because the pressure is applied uniformly on all points of the sphere's surface, resulting in lower and more evenly distributed stress. This uniform stress distribution makes spherical pressure vessels more efficient in containing high-pressure substances and reduces the risk of failure due to stress concentration.

In contrast, cylindrical pressure vessels have higher stress concentrations at their end caps, leading to a higher likelihood of failure from stress-related issues. Additionally, spherical pressure vessels can contain a larger volume of substance for the same amount of material used, making them more materials-efficient. However, spherical pressure vessels can be more challenging and expensive to fabricate due to their complex shape.

Test: Thin Cylinders & Thick Cylinders - 1 - Question 13

A thin walled water pipe carries water under a pressure of 2 N/mm2 and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 13

Test: Thin Cylinders & Thick Cylinders - 1 - Question 14

Assertion (A): A thin cylindrical shell is subjected to internal fluid pressure that induces a 2-D stress state in the material along the longitudinal and circumferential directions.

Reason(R): The circumferential stress in the thin cylindrical shell is two times the magnitude of longitudinal stress. 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 14

For thin cell 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 15

Assertion (A): For a thin cylinder under internal pressure, At least three strain gauges is needed to know the stress state completely at any point on the shell.

Reason (R): If the principal stresses directions are not know, the minimum number of strain gauges needed is three in a biaxial field. 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 15

For thin cylinder, variation of radial strain is zero. So only circumferential and longitudinal strain has to measurer so only two strain gauges are needed.

Test: Thin Cylinders & Thick Cylinders - 1 - Question 16

Circumferential and longitudinal strains in a cylindrical boiler under internal steam pressure are  ε1 and εrespectively. Change in volume of the boiler cylinder per unit volume will be: 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 16

Volumetric stream = 2 x circumferential strain + longitudinal strain.

Test: Thin Cylinders & Thick Cylinders - 1 - Question 17

A thin cylinder of diameter „d‟ and thickness 't' is subjected to an internal pressure 'p' the change in diameter is (where E is the modulus of elasticity and μ is the Poisson's ratio) 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 18

A round bar of length l , elastic modulus E and Poisson's ratio μ is subjected to an ax ial pull 'P'. What would be the change in volume of the bar?

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 18

Test: Thin Cylinders & Thick Cylinders - 1 - Question 19

A thick cylinder is subjected to an internal pressure of 60 MPa. If the hoop stress on the outer surface is 150 MPa, then the hoop stress on the internal surface is: 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 19

If internal pressure = pi; External pressure = zero

Circumferential or hoop stress 

Test: Thin Cylinders & Thick Cylinders - 1 - Question 20

Where does the maximum hoop stress in a thick cylinder under external pre ssure occur? 

Detailed Solution for Test: Thin Cylinders & Thick Cylinders - 1 - Question 20

Circumferential or hoop stress = σt

Information about Test: Thin Cylinders & Thick Cylinders - 1 Page
In this test you can find the Exam questions for Test: Thin Cylinders & Thick Cylinders - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Thin Cylinders & Thick Cylinders - 1, EduRev gives you an ample number of Online tests for practice

Top Courses for Mechanical Engineering

Download as PDF

Top Courses for Mechanical Engineering