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| body | --uriencoded--$$ \normalsize F_%7Bcr%7D = \dfrac %7BC_b \pi%5e2E%7D%7B \Big( \dfrac%7BL_b%7D%7Br_%7Bts%7D%7D\Big)%5e2 %7D \sqrt%7B1+0.078 \dfrac%7BJdfrac%7BJc%7D%7BS_c%7D%7BS_xh_o%7D \Big(\dfrac%7BL_b%7D%7Br_%7Bts%7D%7D\Big)%5e2%7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-4) $$ |
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| body | --uriencoded--$$ \normalsize FL_%7Bcr%7D p = \dfrac %7BC_b \pi%5e2E%7D%7B \Big( \dfrac%7BL_b%7D%7Br_%7Bts%7D%7D\Big)%5e2 %7D \sqrt%7B1+0.078 \dfrac%7BJ_c%7D%7BS_xh_o%7D \Big(\dfrac%7BL_b%7D%7Br_%7Bts%7D%7D\Big)%5e2%7D 1.76r_y \sqrt%7B \dfrac%7BE%7D%7BF_y%7D %7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-5) $$ |
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Limiting unbraced length for the limit state of inelastic lateral-torsional buckling, Lr, is calculated below.
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| body | --uriencoded--$$ \normalsize L_r =1.95r_%7Bts%7D \dfrac%7BE%7D%7B0.7F_y%7D \sqrt%7B \dfrac%7BJc%7D%7BS_xh_o%7D + \sqrt%7B \bigg( \dfrac%7BJc%7D%7BS_xh_o%7D \bigg)%5e2 + 6.76 \bigg( \dfrac%7B0.7F_y%7D%7BE%7D \bigg)%5e2 %7D%7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-6) $$ |
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| body | --uriencoded--$$ \normalsize r_%7Bts%7D%5e2 = \dfrac%7B\sqrt%7BI_yC_w%7D%7D%7BS_x%7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-7) $$ |
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For doubly symmetric I-shapes,
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| body | $$ \normalsize c=1 \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-8a) $$ |
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For channels
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| body | --uriencoded--$$ \normalsize c= \dfrac%7Bh-o%7D%7B2%7D \sqrt%7B \dfrac%7BI_y%7D%7BC_w%7D %7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2-8b) $$ |
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For doubly symmetric I-
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shapes with rectangular flanges, Cw = Iyho2 / 4 and rts is calculated below.
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| body | --uriencoded--$$ \normalsize r_%7Bts%7D%5e2 = \dfrac%7BI_yh_o%7D%7B2S_x%7D $$ |
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