Discussion
A column of slenderness \( 100 \) in a material of \( E = 70 \) GPa has a Euler critical stress of nearest to
Answer: C
Correct answer: 69 MPa
\[ \sigma_{cr} = \frac{\pi^2 E}{(L_e/r)^2} = \frac{9.87 \times 70{,}000}{100^2} = 69\ \mathrm{MPa}. \] Well below the yield stress of any structural aluminium alloy, which confirms that at a slenderness of 100 the column is genuinely in the elastic buckling regime and Euler’s formula applies.
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