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Section and Material Information: HEA 300 - S235
Span: 5 m
Building total length: 25 m
Crane capacity: 10 tf

Local Buckling

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body--uriencoded--$$ \normalsize \mathrm%7BFor \; flange:%7D \;\; \;\; \lambda = \dfrac%7Bb%7D%7Bt%7D=\dfrac%7Bb%7D%7B2t_f%7D=\dfrac%7B300%7D%7B2 \times 14%7D=10.71 \le \lambda_p=0.38\sqrt%7B \dfrac%7B210000%7D%7B235%7D%7D=11.36 $$

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body--uriencoded--$$ \normalsize \mathrm%7BFor \; web:%7D \;\; \;\; \lambda = \dfrac%7Bb%7D%7Bt_w%7D=\dfrac%7B290%7D%7B8.5%7D=34.1 \le \lambda_p=3.76\sqrt%7B \dfrac%7B210000%7D%7B235%7D%7D=112.4 $$

Flexural Strength for Major Axis

Yielding Limit State

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body--uriencoded--$$ \normalsize M_n=M_p=F_yW_%7Bpx%7D=235 \times (1383.4) \times 10%5e%7B-3%7D = 325.099 \; \mathrm%7BkNm%7D $$

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body--uriencoded--$$ \normalsize \dfrac%7BM_n%7D%7B \Omega%7D =\dfrac%7B325.099%7D%7B 1.67%7D= 194.67 \; \mathrm%7BkNm%7D $$

Flexural Strength for Minor Axis

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body--uriencoded--$$ \normalsize M_%7Buy%7D=M_%7Bpy%7D=F_yW_%7Bpy%7D \le 1.6F_yW_%7Bey%7D $$

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body--uriencoded--$$ \normalsize \dfrac%7BM_n%7D%7B \Omega%7D =\dfrac%7B150.682%7D%7B 1.67%7D= 90.2 \; \mathrm%7BkNm%7D $$

Design Under Combined Loading

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body--uriencoded--$$ \normalsize \dfrac%7BM_%7Bux%7D%7D%7B M_%7Bcx%7D%7D +\dfrac%7BM_%7Buy%7D%7D%7B0.5 \times M_%7Bcy%7D%7D= \dfrac%7B99.39%7D%7B 194.67%7D +\dfrac%7B4.06%7D%7B0.5 \times 90.2%7D =0.6 $$

Shear Control

According to AISC 360-16 G2-1,

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body--uriencoded--$$ \normalsize V_d = \dfrac%7BV_n%7D%7B \Omega_v%7D =\dfrac%7B347.565%7D%7B 1.5%7D= 231.7 \; \mathrm%7BkN%7D $$

Web Lateral Buckling

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body$$ \normalsize (h/t_w ) /(L_b/b_f) \le 1.7 \;\;\;\;\;\;\;\;\;\; ((290-2 \times14-2 \times 27)/8.5)/(5000/300)=1.47 \le 1.7 $$

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body--uriencoded--$$ \normalsize R_d = \dfrac%7BR_n%7D%7B \Omega%7D =\dfrac%7B1666.5%7D%7B 1.76%7D= 946.8 \; \mathrm%7BkN%7D $$

Deflection Check

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body--uriencoded--$$ \normalsize l/360=8.33 \; \mathrm%7Bmm%7D $$

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