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Is it valid to solve for the young's modulus required for a given critical load with Euler Columns?

Yes you can use the formula to solve for an acceptable modulus of elasticity (E) that prevents buckling. Like any mathematical formula that relates 4 variables, you can calculate any variable based on ...
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Is it valid to solve for the young's modulus required for a given critical load with Euler Columns?

As the expression suggests, Pcr is a function of (E, I, L), in other words, Pcr is can not be assumed as an arbitrary number, nor can be predetermined without knowing the parameters it is based on. So,...
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Is it valid to solve for the young's modulus required for a given critical load with Euler Columns?

No we could not. colums buckle under a random load usually les than the Euler's buckling load due to many reasons, such as manufacturing defects or material residual stress. Two columns with same ...
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