A 3 ml long sleel rod having a size of $40 \mathrm{~mm} \times 5 \mathrm{~mm}$ is used as a column with buth ends pinned. If Euler's formula can be used and the material allains the yield strength at line lime of buckling, find the central dellection $E$ is $200 \mathrm{KN} / \mathrm{mm}^{2}$ and Yield strength of steel is 300 MPa . $(4 \times 20=80$ Marks $)$
Explanation
To calculate the central deflection, we need to use Euler's formula. This formula takes into account the stiffness, length, and slenderness ratio of the column. In this case, the stiffness is EI = 200*10^3 N/m^2, the length is 3 m, and the slenderness ratio is k = 0.1. By substituting these values into the formula, we can calculate the central deflection.
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