Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  A long thin walled cylindrical shell, closed ... Start Learning for Free
A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is
  • a)
    0.5
  • b)
    1.0
  • c)
    2.0
  • d)
    4.0
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A long thin walled cylindrical shell, closed at both ends, is subjecte...
View all questions of this test
Most Upvoted Answer
A long thin walled cylindrical shell, closed at both ends, is subjecte...
Hoop Stress and Longitudinal Stress in a Cylindrical Shell

A cylindrical shell closed at both ends is subjected to an internal pressure. The internal pressure causes two types of stresses in the shell, namely hoop stress (circumferential stress) and longitudinal stress. The ratio of these two stresses is given as follows:

Ratio of Hoop Stress to Longitudinal Stress = Hoop Stress / Longitudinal Stress

Hoop Stress

The hoop stress is the stress that develops in the circumferential direction of the shell due to the internal pressure. It is given by the following formula:

Hoop Stress = (Internal Pressure x Radius) / Thickness

Longitudinal Stress

The longitudinal stress is the stress that develops in the longitudinal direction of the shell due to the internal pressure. It is given by the following formula:

Longitudinal Stress = (Internal Pressure x Diameter) / (2 x Thickness)

Ratio of Hoop Stress to Longitudinal Stress

To find the ratio of hoop stress to longitudinal stress, we need to divide the hoop stress formula by the longitudinal stress formula:

Ratio of Hoop Stress to Longitudinal Stress = (Internal Pressure x Radius) / Thickness / [(Internal Pressure x Diameter) / (2 x Thickness)]

Simplifying this formula, we get:

Ratio of Hoop Stress to Longitudinal Stress = 2 x Radius / Diameter

Since the shell is cylindrical, the diameter is twice the radius. Therefore, the ratio of hoop stress to longitudinal stress is:

Ratio of Hoop Stress to Longitudinal Stress = 2

Hence, the correct answer is option C, which states that the ratio of hoop stress to longitudinal stress developed in the shell is 2.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer?
Question Description
A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer?.
Solutions for A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell isa)0.5b)1.0c)2.0d)4.0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev