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Slenderness ratio of a long column is
- a)Area of cross-section divided by radius of gyration
- b)Area of cross-section divided by least radius of gyration
- c)Radius of gyration divided by area of cross-section
- d)Length of column divided by least radius of gyration
Correct answer is option 'D'. Can you explain this answer?
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Slenderness ratio of a long column isa)Area of cross-section divided b...
Slenderness ratio ( λ ) of long column is defined as the ratio of Effective length of column to its least radius of gyration.
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Slenderness ratio of a long column isa)Area of cross-section divided b...
Understanding Slenderness Ratio
The slenderness ratio is a critical parameter in structural engineering, particularly for columns. It helps predict the buckling behavior of long columns under axial loads.
Definition of Slenderness Ratio
- The slenderness ratio (λ) is defined as the ratio of the effective length of the column (L) to its least radius of gyration (r).
Formula
- The formula for slenderness ratio is:
λ = L / r
Importance of the Least Radius of Gyration
- The radius of gyration (r) is a measure of how the cross-sectional area is distributed about an axis.
- The "least radius of gyration" is crucial as it reflects the weakest axis of the column, which is most prone to buckling.
Why Length Divided by Least Radius of Gyration?
- A long column will buckle when subjected to compressive loads, and the slenderness ratio helps in assessing this risk.
- A higher slenderness ratio indicates a greater tendency for buckling.
- By using the effective length (L) divided by the least radius of gyration (r), engineers can determine the buckling load and design accordingly.
Conclusion
- The correct answer is option 'D': Length of column divided by least radius of gyration.
- This relationship is fundamental for ensuring structural stability and safety in engineering design.
Understanding and applying the concept of slenderness ratio is essential for designing columns that can withstand loads without buckling.
The slenderness ratio is a critical parameter in structural engineering, particularly for columns. It helps predict the buckling behavior of long columns under axial loads.
Definition of Slenderness Ratio
- The slenderness ratio (λ) is defined as the ratio of the effective length of the column (L) to its least radius of gyration (r).
Formula
- The formula for slenderness ratio is:
λ = L / r
Importance of the Least Radius of Gyration
- The radius of gyration (r) is a measure of how the cross-sectional area is distributed about an axis.
- The "least radius of gyration" is crucial as it reflects the weakest axis of the column, which is most prone to buckling.
Why Length Divided by Least Radius of Gyration?
- A long column will buckle when subjected to compressive loads, and the slenderness ratio helps in assessing this risk.
- A higher slenderness ratio indicates a greater tendency for buckling.
- By using the effective length (L) divided by the least radius of gyration (r), engineers can determine the buckling load and design accordingly.
Conclusion
- The correct answer is option 'D': Length of column divided by least radius of gyration.
- This relationship is fundamental for ensuring structural stability and safety in engineering design.
Understanding and applying the concept of slenderness ratio is essential for designing columns that can withstand loads without buckling.
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Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer?
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Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. 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 Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. 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 Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer?.
Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. 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 Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. 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 Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer?.
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Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Slenderness ratio of a long column isa)Area of cross-section divided by radius of gyrationb)Area of cross-section divided by least radius of gyrationc)Radius of gyration divided by area of cross-sectiond)Length of column divided by least radius of gyrationCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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