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changes.mady.by.user Zeynep Aladağ

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changes.mady.by.user oğuzcan hadim

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Ab

Mathinline
body--uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 20%5e2%7D %7B4%7D = 314.159\; \mathrm%7Bmm%5e2%7D $$

Fn

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--$$ \normalsize R_n = F_n A_b = 2 \times 450 \times 314.159 \times 10%5e%7B-3%7D =282.743 \; \mathrm%7BkN%7D $$

AISC 360-16 J3-1

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 282.743 = 212.058 \; \mathrm%7BkN%7D $$

Required

Ready

Rate

Control

205.872 kN

212.058 kN

0.971

√

...

dh

20+2=22 mm

 

Lc,edge

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 45 - 0.5 \times 22 =34 \; \mathrm%7Bmm%7D $$

 

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(34)(15)(469.999 470 \times 10%5e%7B-3%7D) \\2.4(20)(15)(469.999 470 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =287.64\; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 60 - 22 =38\; \mathrm%7Bmm%7D $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(38)(15)(469.999 470 \times 10%5e%7B-3%7D) \\2.4(20)(15)(469.999 470 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =321.48\; \mathrm%7BkN%7D

 

Rn

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

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 1 \times 287.64 + 1 \times 321.48 = 609.12 \; \mathrm%7BkN%7D \; $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 609.12 = 456.84 \; \mathrm%7BkN%7D $$

Required

Ready

Rate

Control

205.872 kN

456.84 kN

0.451

√

...

dh

20+2=22 mm

 

Lc,edge

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 45 - 0.5 \times 22 = 34 \; \mathrm%7Bmm%7D $$

 

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(34)(10)(469.999 470 \times 10%5e%7B-3%7D) \\2.4(20)(10)(469.999 470 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =191.76\; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 60 - 22 =38 $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(38)(10)(469.999 470 \times 10%5e%7B-3%7D) \\2.4(20)(10)(469.999 470 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =214.32\; \mathrm%7BkN%7D

 

Rn

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

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 1 \times 191.76 + 1 \times 214.32 = 406.08 \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 406.08 = 304.56 \; \mathrm%7BkN%7D $$

Required

Ready

Rate

Control

205.872 kN

304.56 kN

0.676

√

...

Fe

490000 kN/m2

w

5.658 mm

Fu-plate

469.999  N/mm2

Fu-brace

410 N/mm2

tplate

15 mm

AISC 360-16 J3-6a

tbrace

15 mm

lw

150 mm

Rnw

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 \times F_%7Be%7D \times 2 \times 0.707 \times w $$
Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D =0.6 \times 490 \times 2 \times 2 \times 0.707 \times 5.658 = 4704 \; \mathrm%7BkN/m%7D $$

Rn-plate

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn,plate%7D = 0.6 F_%7Bu%7D t l = 0.6 \times 2 \times469.999 \times 15 =8460 \; \mathrm%7BkN/m%7D $$

RnBM

Mathinline
body--uriencoded--$$ \normalsize R_n = \mathrm%7Bmin%7D ( R_%7Bn,plate%7D , R_%7Bn,brace%7D ) =8460 \; \mathrm%7BkN/m%7D $$

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = \mathrm%7Bmin%7D ( R_%7Bnw%7D , R_%7BnBM%7D )l =4704 \times 150 \times 10%5e%7B-3%7D =705.6\; \mathrm%7BkN%7D $$

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 705.6 = 529.2 \; \mathrm%7BkN%7D $$
 

Required

Ready

Rate

Control

205.872 kN

529.2 kN

0.389

√

...

K

0.65

 

L

0 mm

 

r

2.887 mm

 

KL / r

0

 

Fy

355 N/mm2

 

Ag

1292.82 mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_y A_g = 355 \times 1292.82 \times 10%5e%7B-3%7D =458.95 \; \mathrm%7BkN%7D $$

AISC 360-16 J4-6

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.90 \times 458.95 = 413.056 \; \mathrm%7BkN%7D $$

 

Required

Ready

Rate

Control

205.872 kN

413.056 kN

0.498

√

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