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changes.mady.by.user Zeynep Aladağ

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changes.mady.by.user oğuzcan hadim

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Ft

750000 kN/m2

 

Ab

Mathinline
body--uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389 \; \mathrm%7Bmm%5e2%7D $$

AISC DG-4-2nd

3.7

Pt

Mathinline
body--uriencoded--$$ \normalsize P_t = F_%7Bt%7DA_b = 750 \times 10%5e%7B-3%7D \times 452.389 = 339.292 $$

 

h0

473.038 mm

 

h1

315.271 mm

 

dm

394.154 mm

 

Mreq

119.655 kNm

 

Nreq

-27.504 kN

 

Rreq

Mathinline
body--uriencoded--$$ \normalsize R_%7Breq%7D = \dfrac%7B M_%7Breq%7D %7D%7Bd_m%7D + \dfrac%7B N_%7Breq%7D %7D%7B2%7D = \dfrac%7B 119.655 %7D%7B394.154%7D 154 \times 10%5e%7B-3%7D %7D + \dfrac%7B -27.504 %7D%7B2%7D = 289.822 \; \mathrm%7BkN%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = \dfrac%7B 2 P_t ( h_o + h_1 ) %7D%7B d_m %7D $$

Mathinline
body--uriencoded--$$ \normalsize R_n = = \dfrac%7B 2 \times 339.292 \times (473.038 + 315.271 ) %7D%7B 394.154 %7D =1357.17 \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 1357.17 = 1017.876\; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

289.822 kN

1017.876 kN

0.285

√

...

Ab

Mathinline
body--uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389 \; \mathrm%7Bmm%5e2%7D $$

 

Pt

Mathinline
body--uriencoded--$$ \normalsize P_t = F_%7Bt%7DA_b = 750 \times 10%5e%7B-3%7D \times 452.389 = 339.292 \; \mathrm%7BkN%7D $$

 

Mn

Mathinline
body$$ \normalsize M_n = 2 P_t ( h_o + h_1 ) $$
Mathinline
body--uriencoded--$$ \normalsize M_n = 2 \times 339.292 ( 473.038 + 315.271 ) \times10%5e%7B-3%7D = 534.934 \; \mathrm%7BkNm%7D $$

AISC 358-16 (6.8-5)

Fyp

235000 kN/m2

 

Yp

2517.347 mm

 

tp

Mathinline
body--uriencoded--$$ \normalsize t_%7Breq%7D = \sqrt%7B \dfrac%7B 1.11 \varphi M_n %7D %7B \varphi F_%7Byp%7D Y_p %7D %7D =\sqrt%7B \dfrac%7B 1.11 \times 0.75 \times 534.934 \times10%5e6 %7D %7B 0.9 \times 235 \times 2517.347 %7D %7D =28.921 $$

 

...

Fyp

235000 kN/m2

 

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = L_p \times t_ p = 420 \times 30 =12600 \; \; \mathrm%7Bmm%5e2%7D $$

AISC 360-16 J4-3

dm

394.154 mm

 

Mreq

119.655 kNm

 

Nreq

-27.504 kN

 

Rreq

Mathinline
body--uriencoded--$$ \normalsize R_%7Breq%7D = \dfrac%7B M_%7Breq%7D %7D%7Bd_m%7D + \dfrac%7B N_%7Breq%7D %7D%7B2%7D = \dfrac%7B 119.655 %7D%7B394.154%7D 154 \times 10%5e%7B-3%7D %7D + \dfrac%7B -27.504 %7D%7B2%7D = 289.822 \; \mathrm%7BkNm%7D $$

 

Rn

Mathinline
body$$ \normalsize R_n = 0.6 F_y A_g = 0.6 \times 235 \times 12600 = 1776.6 $$

 

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 1 \times 1776.6 = 1776.6 $$

 

...

Fu

360000 kN/m2

 

An

Mathinline
body--uriencoded--$$ \normalsize A_%7Bn%7D = 30 ( 420 - 4 \times ( 24 + 2 + 3 ) ) =9120 \; \mathrm%7Bmm%5e2%7D $$

AISC 360-16 J4-4

dm

394.154 mm

 

Mreq

119.655 kNm

 

Nreq

-27.504 kN

 

Rreq

Mathinline
body--uriencoded--$$ \normalsize R_%7Breq%7D = \dfrac%7B M_%7Breq%7D %7D%7Bd_m%7D + \dfrac%7B N_%7Breq%7D %7D%7B2%7D = \dfrac%7B 119.655 %7D%7B394.154%7D 154 \times 10%5e%7B-3%7D %7D + \dfrac%7B -27.504 %7D%7B2%7D = 289.822 \; \mathrm%7BkNm%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = 0.6 F_u A_n = 0.6 \times 360 \times 9120 = 1969.92\; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 1969.92 = 1477.44\; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

289.822 kN

1477.44 kN

0.196

√

...

Ab

Mathinline
body--uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389\; \mathrm%7Bmm%5e2%7D $$

 

Fnv

Mathinline
body--uriencoded--$$ \normalsize F_n = 0.450 F_%7Bub%7D = 0.450 \times 1000 =450\; \mathrm%7BN/mm%5e2%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_n A_b = 4 \times 450 \times 452.389 \times 10%5e%7B-3%7D = 814.3\; \mathrm%7BkN%7D $$

AISC 360-16 J3-1

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 814.3 = 610.725 \; \; \mathrm%7BkN%7D $$

 

...

dh

24+3=27 mm

 

Lc,edge

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 51.519 - 0.5 \times 27 = 38.019\; \mathrm%7Bmm%7D $$

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D

AISC 360-16 J3-6a

Rn-edge

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(38.019)(30)(360 \times 10%5e%7B-3%7D) \\2.4(24)(30)(360\times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =492.72\; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D =157.767 - 27 = 130.767\; \mathrm%7Bmm%7D $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(130.767)(30)(360 \times 10%5e%7B-3%7D) \\2.4(24)(30)(360\times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =622.08\; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = n_eR_%7Bn,edge%7D + n_sR_%7Bn,spacing%7D $$

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 2 \times 492.72 + 2 \times 622.08 = 2229.6 \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 2229.6 = 1672.2\; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

5.313 kN

1672.2kN

0.003

√

...

Fyp

235000 kN/m2

AISC DG-4-2 nd

2.1.7

tbw

9 mm

 

Fe

480000 kN/m2

 

w

Mathinline
body--uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi 0.6 F_%7Byp%7D t_%7Bwb%7D%7D %7B2 \varphi_w 0.6 F_e 0.707%7D%7D =\dfrac %7B 1 \times 0.6 \times 235 \times 10%5e%7B-3%7D \times 9%7D %7B2 \times 0.75 \times 0.6 \times 480\times 10%5e%7B-3%7D \times 0.707%7D%7D = 3.97\; \mathrm%7Bmm%7D $$

Required

Available

Ratio

Control

3.97 mm

8.487 mm

0.468

√

...

w

8.487 mm

 

FE

480 N/mm2

 

le

190.193 mm

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = 2 \times 0.6 \times 480 \times 10%5e%7B-3%7D \times 0.707 \times 8.487 \times 190.193 = 657.34\; \mathrm%7BkN%7D $$

AISC DG-4-2 nd

2.1.8 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 657.34 = 493\; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

5.313 kN

492.981 kN

0.011

√

...