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Slenderness ratio of a column is defined as the ratio of its length to its
- a)least radius of gyration
- b)least lateral dimension
- c)maximum lateral dimension
- d)maximum radius of gyration
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Slenderness ratio of a column is defined as the ratio of its length t...
Since buckling of column under the crippling load will take place about the axis of least resistance (i.e. about the axis about which moment of inertia is least)
Hence slenderness ratio = length/least radius of gyration
Most Upvoted Answer
Slenderness ratio of a column is defined as the ratio of its length t...
Slenderness ratio of a column refers to the measurement of the column's ability to resist buckling under compressive loads. It is defined as the ratio of its length to its least radius of gyration.
Explanation:
Slenderness ratio is an important factor in determining the strength and stability of a column. It is calculated by dividing the length of the column by its least radius of gyration. The least radius of gyration is the smallest distance at which the cross-sectional area of the column can be concentrated to produce the same moment of inertia as the actual cross section.
The slenderness ratio is an indication of how prone the column is to buckling under compressive loads. If the slenderness ratio is high, the column is more likely to buckle and fail under compressive loads. On the other hand, if the slenderness ratio is low, the column is more stable and can resist higher compressive loads.
Factors affecting Slenderness Ratio:
Several factors affect the slenderness ratio of a column, including the material properties of the column, its cross-sectional shape, and the boundary conditions of the column.
Conclusion:
In summary, the slenderness ratio of a column is an important factor in determining its strength and stability. It is calculated by dividing the length of the column by its least radius of gyration. A low slenderness ratio indicates a more stable column, while a high slenderness ratio indicates a more prone column to buckling and failure under compressive loads.
Explanation:
Slenderness ratio is an important factor in determining the strength and stability of a column. It is calculated by dividing the length of the column by its least radius of gyration. The least radius of gyration is the smallest distance at which the cross-sectional area of the column can be concentrated to produce the same moment of inertia as the actual cross section.
The slenderness ratio is an indication of how prone the column is to buckling under compressive loads. If the slenderness ratio is high, the column is more likely to buckle and fail under compressive loads. On the other hand, if the slenderness ratio is low, the column is more stable and can resist higher compressive loads.
Factors affecting Slenderness Ratio:
Several factors affect the slenderness ratio of a column, including the material properties of the column, its cross-sectional shape, and the boundary conditions of the column.
Conclusion:
In summary, the slenderness ratio of a column is an important factor in determining its strength and stability. It is calculated by dividing the length of the column by its least radius of gyration. A low slenderness ratio indicates a more stable column, while a high slenderness ratio indicates a more prone column to buckling and failure under compressive loads.
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Slenderness ratio of a column is defined as the ratio of its length to itsa)least radius of gyrationb)least lateral dimensionc)maximum lateral dimensiond)maximum radius of gyrationCorrect answer is option 'A'. Can you explain this answer?
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