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(Solved): 6. An aluminium hollow box column with a square cross section is loaded as shown in figure ...



6. An aluminium hollow box column with a square cross section is loaded as shown in figure 5. Determine the allowable length

FIG. 5

6. An aluminium hollow box column with a square cross section is loaded as shown in figure 5. Determine the allowable length if the deflection at the top is limited to 100 , and . (Ans. ). FIG. 5


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To solve this problem, we need to determine the critical load that causes the column to buckle and then use this load to calculate the maximum allowable length of the column.
The critical load for an aluminium hollow box column can be calculated using Euler's formula:




where Pcr is the critical load, E is the modulus of elasticity, I is the second moment of area, and L is the length of the column.



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