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Muc

821.813kNm

AISC 358-16 (6.8-5)

Fyp

275000 kN/m2

 

s

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body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_p g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 298 \times 154%7D = 107.112 $$

 

Yp

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body--uriencoded--$$ \small Y_p = \dfrac%7Bb_p%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bp_%7Bfi%7D%7D + \dfrac%7B1%7D%7Bs%7D \right ) + h_0 \left ( \dfrac%7B1%7D%7Bp_%7Bfo%7D%7D + \dfrac%7B1%7D%7B2s%7D \right ) \right ] + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( p_%7Bfi%7D +s \right ) + h_o \left ( d_%7Be%7D + p_%7Bfo%7D \right ) \right ] $$

 

Yp

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body--uriencoded--$$ \tiny normalsize Y_p = \dfrac%7B298%7D%7B2%7D \left [ 355.5 \left ( \dfrac%7B1%7D%7B72%7D + \dfrac%7B1%7D%7B107.112%7D \right ) + 514.5 \left ( \dfrac%7B1%7D%7B72%7D + \dfrac%7B1%7D%7B2 \times 107.112 %7D \right ) \right ] $$
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body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B154%7D \left [ 355.5 \left ( 72 + 107.112 \right ) + 514.5 \left ( 72 + 72 \right ) \right ] =4441.914 $$

 

tp

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body--uriencoded--$$ \normalsize t_p \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_p%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 821.813%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 4441.914%7D %7D = 27.327 $$

 

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Muc

821.813 kNm

AISC 358-16 (6.8-13)

Fyp

275000 kN/m2

 

s

Mathinline
body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_f g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 300 \times 154%7D = 107.471 $$

 

c

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body--uriencoded--$$ \normalsize c = p_%7Bfo%7D + t_%7Bfo%7D + p_%7Bfi%7D = 72 + 16 + 72 = 160 $$

 

Yc

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body--uriencoded--$$ \small Y_c = \dfrac%7Bb_f%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bs%7D \right ) + h_0 \left ( \dfrac%7B1%7D%7Bs%7D \right ) \right ] + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( s + \dfrac%7B3c%7D%7B4%7D \right ) + h_0 \left ( s + \dfrac%7Bc%7D%7B4%7D \right ) + \dfrac%7Bc%5e2%7D%7B2%7D \right ] + \dfrac%7Bg%7D%7B2%7D $$

 

Yc

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body--uriencoded--$$ \tiny normalsize Y_c = \dfrac%7B300%7D%7B2%7D \left [ 355.5 \left ( \dfrac%7B1%7D%7B107.471%7D \right ) + 514.5 \left ( \dfrac%7B1%7D%7B107.471%7D \right ) \right ] $$
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body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B154%7D \left [ 355.5 \left ( 107.471 + \dfrac%7B3 \times 160 %7D%7B4%7D \right ) + 514.5 \left ( 107.471 + \dfrac%7B160%7D%7B4%7D \right ) $$
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body--uriencoded--$$ \normalsize + \dfrac%7B160%5e2%7D%7B2%7D \right ] + \dfrac%7B154%7D%7B2%7D $$
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body$$ \normalsize Y_c =5054.57 $$

 

tcf

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body--uriencoded--$$ \normalsize t_%7Bcf%7D \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_c%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 821.813%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 5054.57%7D %7D = 25.618 $$

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