| body | --uriencoded--$$ \normalsize \lambda_x = \frac%7B9000%7D%7B170.8%7D = 52.7 \leq 200%7D \\ \lambda_y = \frac%7B4500%7D%7B74%7D = 60.8 \leq 200%7D \\ L_%7Bci, max%7D = 60.8 \leq 4.71 \times \sqrt \frac %7BE%7D%7BF_y%7D = 4.71 \times \sqrt \frac%7B200000%7D%7B355%7D = 111.79 \\ F_E = \frac %7B\pi%5e2 \times E%7D%7B\lambda_%7Bcr%7D%5e2%7D =\frac %7B\pi%5e2 \times 200000%7D%7B60.8%5e2%7D = 533.97 \\ F_%7Bcr%7D = 0.658%5e%7B \frac%7BF_y%7D%7BF_E%7D%7D \times F_y = 0.658%5e%7B \frac%7B355%7D%7B533.97%7D%7D \times 355 = 268.77 \\ P_n = F_%7Bcr%7D \times A_g = 268.77 \times 19780 \times 10%5e%7B-3%7D = 5316.27 kN $$ |
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