The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k.
When the slenderness ratio exceeds a value of 100 for a strong slim column, failure by buckling can be expected. Columns of stiffer and more brittle materials will buckle at lower slenderness ratios. The constant factor m in Euler's critical-load formula clearly shows that the failure of a column depends on the configuration of the column ends. The basic four types with their respective m are:
1.Both ends pivoted or hinged (m = 1)
2.One end fixed and the other free (m = ¼)
3.One end fixed and, the other pivoted (m = 2)
4.Both ends fixed (m = 4)
Euler's formula is strictly applicable to long and slender columns, for which the buckling action predominates over the direct compression action and thus makes no allowance for compressive stress. The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k.
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The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k.
When the slenderness ratio exceeds a value of 100 for a strong slim column, failure by buckling can be expected. Columns of stiffer and more brittle materials will buckle at lower slenderness ratios. The constant factor m in Euler's critical-load formula clearly shows that the failure of a column depends on the configuration of the column ends. The basic four types with their respective m are:
1.Both ends pivoted or hinged (m = 1)
2.One end fixed and the other free (m = ¼)
3.One end fixed and, the other pivoted (m = 2)
4.Both ends fixed (m = 4)
Euler's formula is strictly applicable to long and slender columns, for which the buckling action predominates over the direct compression action and thus makes no allowance for compressive stress. The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k.
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