Columns with a low slenderness ratio fail under-a)Bucklingb)Large lat...
Columns with low slenderness ratios, i.e. relatively short and stocky columns, invariably fail under ultimate strength and not by buckling.
Hence, the correct option is (C)
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Columns with a low slenderness ratio fail under-a)Bucklingb)Large lat...
Low Slenderness Ratio and Column Failure
Slenderness ratio is defined as the ratio of the effective length of a column to its least radius of gyration. It is a measure of the extent to which a column is slender or stocky. Columns with a low slenderness ratio are considered stocky, while those with a high slenderness ratio are considered slender.
Effects of Low Slenderness Ratio
When a column has a low slenderness ratio, it means that it is relatively short and has a large cross-sectional area. Such columns tend to fail under the effect of an ultimate load, which is the maximum load that a column can support before it fails. The following are the effects of a low slenderness ratio on column failure:
Buckling
Buckling is the sudden failure of a column under the effect of a compressive load. Columns with a low slenderness ratio tend to buckle under the effect of an ultimate load because they are stocky and have a large cross-sectional area. The compressive load causes the column to deform laterally, leading to a sudden failure.
Large Lateral Deflection
Lateral deflection is the bending of a column sideways under the effect of a compressive load. Columns with a low slenderness ratio tend to deform laterally and deflect significantly under the effect of an ultimate load. This bending can cause the column to fail suddenly.
Ultimate Loads
Ultimate loads are the maximum loads that a column can support before failure. Columns with a low slenderness ratio tend to fail under the effect of an ultimate load because they have a large cross-sectional area and are stocky. The compressive load causes the column to fail suddenly.
Conclusion
In conclusion, columns with a low slenderness ratio tend to fail under the effect of an ultimate load. This failure is caused by buckling, large lateral deflection, or the effect of an ultimate load. It is important to consider the slenderness ratio of a column when designing structures to prevent failure.