If the unsupported length of a stanchion is 4 metres and least radius of gyration of its cross-section is 5 cm, the slenderness ratio of the stanchion, isa.60b.70c.80d.90
Question
If the unsupported length of a stanchion is 4 metres and least radius of gyration of its cross-section is 5 cm, the slenderness ratio of the stanchion, isa.60b.70c.80d.90
Solution
The slenderness ratio of a column or stanchion is calculated by the formula:
Slenderness Ratio = Unsupported length / Least radius of gyration
Here, the unsupported length is given as 4 meters (or 400 cm, because 1 meter = 100 cm) and the least radius of gyration is given as 5 cm.
So, the slenderness ratio = 400 cm / 5 cm = 80
Therefore, the slenderness ratio of the stanchion is 80 (option c).
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