Mechanical Engineering Exam > Mechanical Engineering Questions > Which one of the following statements is corr...
Start Learning for Free
Which one of the following statements is correct?]
- a)A column with both ends fixed has minimum equivalent or effective length
- b)A short column is one which has the ratio of its length to least radius of gyration greater than 100
- c)Euler's formula holds good only for short columns
- d)The equivalent length of a column with one end fixed and other end hinged is half of its actual length
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which one of the following statements is correct?]a)A column with both...
A column with both ends fixed has minimum equivalent effective length (l/2)
Most Upvoted Answer
Which one of the following statements is correct?]a)A column with both...
Statement A is correct: A column with both ends fixed has minimum equivalent or effective length.
Explanation:
- A column is a structural member that is used to support axial compressive loads.
- The column buckling is a phenomenon in which the column fails due to bending under compressive loads when the critical load is reached.
- The buckling load depends on the properties of the column such as its length, cross-sectional area, and material properties.
- The buckling load is inversely proportional to the effective length of the column.
- The effective length of the column is a theoretical length that represents the real length of the column with respect to its buckling behavior.
- The effective length factor (k) is defined as the ratio of the effective length to the actual length of the column.
- The effective length factor depends on the end conditions of the column, such as both ends fixed, one end fixed and one end hinged, both ends hinged, etc.
- A column with both ends fixed has the minimum effective length factor (k=0.5) compared to other end conditions.
- Hence, a column with both ends fixed has the minimum equivalent or effective length.
Conclusion:
Option A is correct because a column with both ends fixed has the minimum effective length factor compared to other end conditions, which results in a minimum equivalent or effective length.
Explanation:
- A column is a structural member that is used to support axial compressive loads.
- The column buckling is a phenomenon in which the column fails due to bending under compressive loads when the critical load is reached.
- The buckling load depends on the properties of the column such as its length, cross-sectional area, and material properties.
- The buckling load is inversely proportional to the effective length of the column.
- The effective length of the column is a theoretical length that represents the real length of the column with respect to its buckling behavior.
- The effective length factor (k) is defined as the ratio of the effective length to the actual length of the column.
- The effective length factor depends on the end conditions of the column, such as both ends fixed, one end fixed and one end hinged, both ends hinged, etc.
- A column with both ends fixed has the minimum effective length factor (k=0.5) compared to other end conditions.
- Hence, a column with both ends fixed has the minimum equivalent or effective length.
Conclusion:
Option A is correct because a column with both ends fixed has the minimum effective length factor compared to other end conditions, which results in a minimum equivalent or effective length.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer?
Question Description
Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer?.
Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which one of the following statements is correct?]a)A column with both ends fixed has minimum equivalent or effective lengthb)A short column is one which has the ratio of its length to least radius of gyration greater than 100c)Eulers formula holds good only for short columnsd)The equivalent length of a column with one end fixed and other end hinged is half of its actual lengthCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup