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tw

7.1 mm

 

lb

25.7 mm

 

to

10.7 + 15 = 25.7 mm (Beam flange + Beam flange radius)

 

Fy

235.359 N/mm2

 

Rn

Mathinline
body$$ \normalsize R_n = F_yt_w(2.5k + l_b) $$
Mathinline
body--uriencoded--$$ \normalsize R_n = 235.359 \times 10%5e%7B-3%7D \times 7.1 \times ( 2.5 \times 25.7 + 25.7 ) = 150.31 \; \mathrm%7BkN%7D $$

AISC 360-16 Eq. J10-3

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 150.31 / 1.5 =100.207 \; \; \mathrm%7BkN%7D $$

 

...

tw

7.1 mm

 

tf

10.7 mm

 

lb

25.7 mm

 

d

300 mm

 

E

205939650 kN/m2

 

Fy

235.359 N/mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = 0.4t%5e2_w \left [1+ 3 \left ( \dfrac%7Bl_b%7D %7Bd%7D \right ) \left ( \dfrac%7Bt_w%7D %7Bt_f%7D \right )%5e%7B1.5%7D \right] \sqrt%7B \dfrac%7BEF_%7Byw%7Dt_f%7D %7Bt_w%7D %7D $$

AISC 360-16 Eq. J10-5a

 

Mathinline
body--uriencoded--$$ \small R_n = 0.4 \times 7.1%5e2 \left [1+ 3 \left ( \dfrac%7B25.7%7D %7B300%7D \right ) \left ( \dfrac%7B7.1%7D %7B10.7%7D \right )%5e%7B1.5%7D \right] \sqrt%7B \dfrac%7B205939650 \times 235.359 \times 10%5e%7B-3%7D \times 10.7 %7D %7B7.1%7D %7D $$
Mathinline
body--uriencoded--$$ \small R_n = 196.275 \; \mathrm%7BkN%7D $$

 

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 196.275 / 2 =98.138 \; \; \mathrm%7BkN%7D $$

 

...

Fe

480000 kN/m2

w

11.315 mm

Fu

362.846  N/mm2

l

110 mm

e

60mm

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = \dfrac%7B 2 l%5e2 0.6 Fe 0.707 w%7D %7B\sqrt%7Bl%5e2 + 36 e%5e2%7D %7D $$

Mathinline
body--uriencoded--$$ \normalsize R_n = \dfrac%7B 2 \times 110%5e2 \times 0.6 \times 480 \times 10%5e%7B-3%7D \times 0.707 \times 11.315%7D %7B\sqrt%7B110%5e2 + 36 \times 60%5e2%7D %7D = 148.114\; \mathrm%7BkN%7D $$

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 148.114 / 2 = 74.057 \; \; \mathrm%7BkN%7D $$

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