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000711

16.1.2024

Vzorec 14

M_{cr} = 1, 127 \cdot \frac{π^{2} \cdot 21000 \frac{kN}{{cm}^{2}} \cdot 10140 {cm}^{4}}{(^{1 \cdot 650 cm) 2}} \cdot (\sqrt{(\frac{1}{1}) \cdot \frac{2883000 {cm}^{6}}{10140 {cm}^{4}} \frac{(^{1, 0 \cdot 650 cm) 2} \cdot 8076, 92 \frac{kN}{{cm}^{2}} \cdot 292, 5 {cm}^{4}}{π^{2} \cdot 21000 \frac{kN}{{cm}^{2}} \cdot 10140 {cm}^{4}} (^{0, 454 \cdot 18 cm) 2}} - 0, 454 \cdot 18 cm)

M_{cr} = 115310 kNcm = 1153, 10 kNm

{\bar{λ}}_{LT} = \sqrt{\frac{W_{pl, y} \cdot f_{y}}{M_{cr}}} = \sqrt{\frac{2683 {cm}^{3} \cdot 23, 5 \frac{kN}{{cm}^{2}}}{115310 kNcm}} = 0, 739

ϕ_{LT} = 0, 5 \cdot [1 0, 34 \cdot (0, 739 - 0, 4) 0, 75 \cdot 0, 739^{2}) = 0, 762]

χ_{LT} = \frac{1}{0, 762 \sqrt{0, 762^{2} - 0, 75 \cdot 0, 739^{2}}} = 0, 85 < 1

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