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Two long columns are made of identical lengths ‘l’ and flexural rigidities ‘EI’.  Column 1 is hinged at both ends whereas for column 2 one end is fixed and the other end is free.

(i)  Write the expression for Euler’s buckling load for column 1.

(ii) What is the ratio of Euler’s buckling load of column 1 to that of column 2?

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