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| body | --uriencoded--$$ \normalsize L_p = 1.76 i_y \sqrt \frac %7BE%7D%7BF_y%7D = 3598mm \qquad L_r = 1.95i_%7Bts%7D \frac %7BE%7D%7B0.7F_y%7D \sqrt %7B\frac%7BJ_c%7D%7BW_%7Bex%7Dh_0%7D + \sqrt %7B \left ( \frac%7BJ_c%7D%7BW_%7Bex%7Dh_0%7D \right )%5e2 + 6.76 \left ( \frac%7B0.7 F_y%7D%7BE%7D \right ) %7D%7D = 15873mm \\ L_p < L_b = 6000 mm <L_r $$ |
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Moment dayanımı yönetmelik denklem 9.3 ile belirlenecektir.
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| body | --uriencoded--$$ \normalsize M_p = F_yW_%7Bpx%7D = 275 \times 1869 \times 10%5e%7B-3%7D = 514kNm \\ M_n = C_b \left [ M_p - (M_p - 0.7 F_yW_%7Bex%7D) \left ( \frac %7BL_b - L_p%7D%7BL_r - L_p%7D \right ) \right ] = 629 kNm \leq M_p = 514 kNm $$ |
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Karakteristik Eğilme Momenti Dayanımı
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| body | $$ \normalsize M_n = 514 kNm $$ |
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Karakteristik Eğilme Momenti Dayanımı:
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| body | $$ \normalsize M_n = 514 kNm $$ |
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Karakteristik Eksenel Basınç Dayanımı: | Mathinline |
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| body | $$ \normalsize P_n = 2844.2 kN $$ |
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GKT sonuçları| Mathinline |
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| body | --uriencoded--$$ \normalsize P_r = G + Q = 300 kN \qquad M_r = G + Q = 240 kNm \\ P_c = \frac %7BP_n%7D%7B\Omega%7D = \frac %7B2844.2%7D%7B1.67%7D = 1703.114 kN \\ M_%7Bc-major%7D = \frac %7BM_n%7D%7B\Omega%7D = \frac %7B514%7D%7B1.67%7D = 307.784 kN \\ \frac %7BP_r%7D%7BP_c%7D = \frac %7B300%7D%7B1703.1%7D = 0.17 <0.2 \\ \frac %7BP_r%7D%7B2P_c%7D + \left ( \frac %7BM_%7Brx%7D%7D%7BM_%7Bcx%7D%7D + \frac %7BM_%7Bry%7D%7D%7BM_%7Bcy%7D%7D \right ) = \frac %7B300%7D%7B2 \times 1703.1%7D + \left ( \frac %7B247%7D%7B307.784%7D + \frac %7B0%7D%7B143.289%7D \right ) = 0.866 $$ |
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YDKT sonuçları
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| body | --uriencoded--$$ \normalsize P_r = 1.2G + 1.6Q = 440 kN \qquad M_r = 1.2G + 1.6Q = 360 kNm \\ P_c = \phi P_n = 0.9 \times 2844.2 = 2559.78 kN \\ M_%7Bc-major%7D = \phi M_n = 0.9 \times 514 = 462.6 kNm \\ \frac %7BP_r%7D%7BP_c%7D = \frac %7B440%7D%7B2559.78%7D = 0.17 <0.2 \\ \frac %7BP_r%7D%7B2P_c%7D + \left ( \frac %7BM_%7Brx%7D%7D%7BM_%7Bcx%7D%7D + \frac %7BM_%7Bry%7D%7D%7BM_%7Bcy%7D%7D \right ) = \frac %7B440%7D%7B2 \times 2559.78%7D + \left ( \frac %7B360%7D%7B462.6%7D + \frac %7B0%7D%7B215.364%7D \right ) = 0.864 $$ |
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ideCAD Statik Sonuçları
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TS EN 1991-1-1
Etkileşim denklemi
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| body | --uriencoded--$$ \normalsize \frac %7BN_%7BEd%7D%7D%7B \chi_y N_%7BRk%7D/ \gamma_%7BM1%7D%7D + k_%7Byy%7D \frac %7BM_%7By,Ed%7D + \Delta M_%7By,Ed%7D%7D%7B \chi_%7BLT%7D M_%7By,Rk%7D/ \gamma_%7BM1%7D%7D + k_%7Byz%7D \frac %7BM_%7Bz,Ed%7D + \Delta M_%7Bz,Ed%7D%7D%7B M_%7Bz,Rk%7D/ \gamma_%7BM1%7D%7D \leq 1 \\ \frac %7BN_%7BEd%7D%7D%7B \chi_y N_%7BRk%7D/ \gamma_%7BM1%7D%7D + k_%7Bzy%7D \frac %7BM_%7By,Ed%7D + \Delta M_%7By,Ed%7D%7D%7B \chi_%7BLT%7D M_%7By,Rk%7D/ \gamma_%7BM1%7D%7D + k_%7Bzz%7D \frac %7BM_%7Bz,Ed%7D + \Delta M_%7Bz,Ed%7D%7D%7B M_%7Bz,Rk%7D/ \gamma_%7BM1%7D%7D \leq 1 $$ |
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Basınç dayanımının bulunması
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| body | --uriencoded--$$ \normalsize N_%7BRk%7D = N_%7Bc,rd%7D = Af_%7By%7D = 21798.8 \times 275 \times 10%5e%7B-3%7D = 4099.92kN $$ |
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Burkulma azaltma faktörü
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| body | --uriencoded--$$ \normalsize N_%7Bcr,y%7D = \frac %7B\pi%5e2 EI_y%7D%7B L_y%5e2%7D = \frac %7B\pi%5e2 (2 \times 10%5e8)25167,126 \times 10%5e%7B-8%7D%7D%7B 6%5e2%7D = 13799.421kN \qquad \overline%7B\lambda%7D_y = \sqrt \frac%7BAf_y%7D%7BN_%7Bcr,y%7D%7D = \sqrt \frac%7B14908.8 \times 275/1000%7D%7B13799.421%7D = 0.545 \\ \Phi_y = 0.5 \left [ 1+\alpha_z (\overline%7B\lambda%7D_y - 0.2)+ \overline%7B\lambda%7D_y%5e2 \right ] = 0.707 \qquad \chi_y = \frac %7B1%7D%7B \Phi +\sqrt %7B \Phi%5e2 - \overline%7B\lambda%7D_y%5e2 %7D%7D = 0.864 $$ |
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Etkileşim katsayıları
kyy = 1.042
kyz = 0.740
kzy = 0.977
kzz = 1.233
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Etkileşim Denklemi
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| body | --uriencoded--$$ \normalsize \frac %7BN_%7BEd%7D%7D%7B \chi_y N_%7BRk%7D/ \gamma_%7BM1%7D%7D + k_%7Byy%7D \frac %7BM_%7By,Ed%7D + \Delta M_%7By,Ed%7D%7D%7B \chi_%7BLT%7D M_%7By,Rk%7D/ \gamma_%7BM1%7D%7D + k_%7Byz%7D \frac %7BM_%7Bz,Ed%7D + \Delta M_%7Bz,Ed%7D%7D%7B M_%7Bz,Rk%7D/ \gamma_%7BM1%7D%7D \leq 1 \\ \frac %7B435%7D%7B 0.864 \times 4099.909/1%7D + 1.042 \frac %7B351%7D%7B0.866 \times 513.918 / 1%7D +0 = 0.930 \leq 1 $$ |
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ideCAD Statik Sonuçları
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