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Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = L_p t_p = (260 \times 10) = 2600 \; \mathrm%7Bmm%5e2%7D $$

 

Fy

275 N/mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 0.6 F_y A_g = 0.6 \times 275 \times 10%5e%7B-3%7D \times 2600 =429\; \mathrm%7BkN%7D $$

AISC 360-16 J4-3

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 1 \times 429 = 429 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

135.975 kN

429 kN

0.317

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Anv

Mathinline
body--uriencoded--$$ \normalsize A_%7Bnv%7D = t_p (d_b - n_b d_e) = 10 \times ( 260 - 2 \times 29 ) =2020 \; \mathrm%7Bmm%5e2%7D $$

 

Fu

410 N/mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 0.6 F_u A_%7Bnv%7D = 0.6 \times 410 \times 10%5e%7B-3%7D \times 2020 =496.92 \; \mathrm%7BkN%7D $$

AISC 360-16 J4-3

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 496.92 = 372.69 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

135.975 kN

372.69 kN

0.365

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dp

260 mm

Fy

275 N/mm2

tp

10 mm

a

117.5 mm

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = \dfrac%7B F_y d_p t_p %7D%7B\sqrt %7B2.25 + 16 \left ( \dfrac%7Ba%7D%7Bd_p%7D \right )%5e2 %7D %7D = \dfrac%7B 275 \times 10%5e%7B-3%7D \times 260 \times 10 %7D%7B\sqrt %7B2.25 + 16 \left ( \dfrac%7B117.5%7D%7B260%7D \right )%5e2 %7D %7D =304.387 \; \mathrm%7BkN%7D $$

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.90 \times 304.387 = 273.948 \; \mathrm%7BkN%7D $$

Required

Available

Ratio

Control

135.975 kN

273.948 kN

0.496

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Pr

1621.397 kN

AISC 360-16 J10-9

Py

Mathinline
body--uriencoded--$$ \normalsize P_%7By%7D = F_y A_g = 275 \times 10%5e%7B-3%7D \times28634.759 = 7874.559 \; \mathrm%7BkN%7D $$

 

Fy

275000 kN/m2

 

Ag

28634.759 mm2

 

dc

650 mm

 

tw

16 mm

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = 0.6F_%7By%7D d_c t_w = 0.6 \times 275 \times 10%5e%7B-3%7D \times 650 \times 16 = 1716 \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.90 \times 1716 = 1544.4 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

56.746 kN

1544.4 kN

0.037

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