![]() ![]() higher slenderness ratio - lower critical stress to cause buckling.L is the length of the column and r is the radiation of gyration for the column. The term "L/r" is known as the slenderness ratio. The Euler buckling load can then be calculated asį = (4) π 2 (69 10 9 Pa) (241 10 -8 m 4) / (5 m) 2 ![]() The Moment of Inertia can be converted to metric units like The Modulus of Elasticity of aluminum is 69 GPa (69 10 9 Pa) and the factor for a column fixed in both ends is 4. The column is made of an Aluminium I-beam 7 x 4 1/2 x 5.80 with a Moment of Inertia i y = 5.78 in 4. K = (1 / n) 1/2 factor accounting for the end conditions nĪn column with length 5 m is fixed in both ends. one end fixed, the other end rounded : n = 2Įquation (1) is sometimes expressed with a k factor accounting for the end conditions:.I = Moment of inertia (in 4, m 4) Factor Counting for End Conditions N = factor accounting for the end conditionsĮ = modulus of elastisity (lb/in 2, Pa (N/m 2)) Long columns can be analysed with the Euler column formula Columns fail by buckling when their critical load is reached. ![]()
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