Mechanical Engineering Exam > Mechanical Engineering Questions > Slenderness ratio is defined as the ratio ofa...
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Slenderness ratio is defined as the ratio of
- a)equivalent length of the column to the minimum radius of gyration
- b)length of the column to the minimum radius of gyration
- c)length of the column to the cross-section of the column
- d)minimum radius of gyration to the area of cross-section of the column
Correct answer is option 'A'. Can you explain this answer?
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Slenderness ratio is defined as the ratio ofa)equivalent length of the...
Explanation:
Slenderness Ratio Definition:
Slenderness ratio is the ratio of the equivalent length of the column to the minimum radius of gyration.
Equivalent Length and Minimum Radius of Gyration:
- The equivalent length of a column is the effective length that takes into account the end conditions and support conditions of the column.
- The minimum radius of gyration is a measure of the distribution of the cross-sectional area of the column about its centroidal axis.
Significance of Slenderness Ratio:
- The slenderness ratio is an important parameter in the design of columns as it indicates the stability of the column under compressive loads.
- A higher slenderness ratio implies a slender column that is more prone to buckling, while a lower slenderness ratio indicates a stouter column that is more stable.
Calculation of Slenderness Ratio:
- The slenderness ratio is calculated by dividing the equivalent length of the column by the minimum radius of gyration.
- Mathematically, Slenderness Ratio (λ) = Equivalent Length / Minimum Radius of Gyration.
Importance in Column Design:
- Engineers use the slenderness ratio to determine the appropriate column cross-section and material to prevent buckling under applied loads.
- By considering the slenderness ratio, designers can optimize the column design for stability and efficiency.
In conclusion, the slenderness ratio is a crucial factor in the design of columns, indicating the stability of the column under compressive loads. It is calculated by dividing the equivalent length of the column by the minimum radius of gyration, and helps engineers in selecting the appropriate column cross-section and material to prevent buckling.
Slenderness Ratio Definition:
Slenderness ratio is the ratio of the equivalent length of the column to the minimum radius of gyration.
Equivalent Length and Minimum Radius of Gyration:
- The equivalent length of a column is the effective length that takes into account the end conditions and support conditions of the column.
- The minimum radius of gyration is a measure of the distribution of the cross-sectional area of the column about its centroidal axis.
Significance of Slenderness Ratio:
- The slenderness ratio is an important parameter in the design of columns as it indicates the stability of the column under compressive loads.
- A higher slenderness ratio implies a slender column that is more prone to buckling, while a lower slenderness ratio indicates a stouter column that is more stable.
Calculation of Slenderness Ratio:
- The slenderness ratio is calculated by dividing the equivalent length of the column by the minimum radius of gyration.
- Mathematically, Slenderness Ratio (λ) = Equivalent Length / Minimum Radius of Gyration.
Importance in Column Design:
- Engineers use the slenderness ratio to determine the appropriate column cross-section and material to prevent buckling under applied loads.
- By considering the slenderness ratio, designers can optimize the column design for stability and efficiency.
In conclusion, the slenderness ratio is a crucial factor in the design of columns, indicating the stability of the column under compressive loads. It is calculated by dividing the equivalent length of the column by the minimum radius of gyration, and helps engineers in selecting the appropriate column cross-section and material to prevent buckling.
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Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer?
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Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect 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 Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect 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 Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer?.
Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect 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 Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect 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 Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer?.
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Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Slenderness ratio is defined as the ratio ofa)equivalent length of the column to the minimum radius of gyrationb)length of the column to the minimum radius of gyrationc)length of the column to the cross-section of the columnd)minimum radius of gyration to the area of cross-section of the columnCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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