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L = 3 m, I = 8×10 m , E = 200 GPa = 2×10¹¹ Pa
Euler's critical load: P_cr = n² * E * I / L²
P_cr = n ² * 2e11 * 8e-6 / 3²
P_cr = 9.8696 * 1.6e6 / 9 = 1.754e6 N = 1.75 MN
Added 37 days ago|1/29/2026 6:30:34 AM
This answer has been confirmed as correct and helpful.
3
P_cr = (pi^2 * 200 x 10^9 Pa * 8 x 10^-6 m^4) / (3 m)^2. P_cr = (9.8696 * 200 x 10^9 * 8 x 10^-6) / 9. P_cr = (15791.36 x 10^3) / 9. P_cr = 1754.595 x 10^3 N = 1754.595 kN.
Therefore, Euler's critical load is approximately 1754.6 kN.
Added 37 days ago|1/29/2026 6:30:42 AM
This answer has been confirmed as correct and helpful.
