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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--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 16%5e2%7D %7B4%7D = 201.062\; \mathrm%7Bmm%5e2%7D $$

 

Fnv

Mathinline
body--uriencoded--$$ \normalsize F_%7Bnv%7D=0.450F_%7Bub%7D=0.450 \times 800 = 360\; \mathrm%7BN/mm%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_%7Bn%7D \times A_b = R_%7Bnv%7D = n ( m F_%7Bnv%7D A_b) $$

Mathinline
body--uriencoded--$$ \normalsize R_n = 4 \times (1 \times 360 \times 201.062 \times 10%5e%7B-3%7D )%7D = 289.53 \; \; \mathrm%7BkN%7D $$

AISC 360-16 J3-1

R n / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 289.53 / 2 = 144.765 \; \; \mathrm%7BkN%7D $$

 

...

dh

16+2=18 mm

 

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

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 60 - 18 =42\; \mathrm%7Bmm%7D $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 42) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 16 ) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 98.926 \; \mathrm%7BkN%7D

 

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 395.704 / 2 = 197.852 \; \; \mathrm%7BkN%7D $$

 

...

dh

16+2=18 mm

 

Lc,edge

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 45 -0.5 \times 18 = 36\; \mathrm%7Bmm%7D $$

 

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_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 36 ) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 16 ) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 167.199\; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 60 - 18 =42 $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 42 ) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 16 ) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 167.199 \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = 4 \times 167.199 = 668.797 \; \mathrm%7BkN%7D $$

 

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 668.797 / 2 = 334.399 \; \; \mathrm%7BkN%7D $$

 

...

Ag

Mathinline
body--uriencoded--\normalsize A_%7Bg%7D = (60 + 45) \times 12 \times 2 = 2520 \; \; \mathrm%7Bmm%5e2%7D

 

Anv

Mathinline
body--uriencoded--\normalsize A_%7Bnv%7D = ((60 + 45)-1.5 \times 20) \times 12 \times 2 = 1800 \; \; \mathrm%7Bmm%5e2%7D

 

Ant

Mathinline
body--uriencoded--\normalsize A_%7Bnt%7D = 2 \times 12 \times (40-0.5 \times 20) = 720 \; \; \mathrm%7Bmm%5e2%7D

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

 

Mathinline
body--uriencoded--$$ \normalsize U_%7Bbs%7DF_%7Bu%7DA_%7Bnt%7D=1 \times 362.846 \times 10%5e%7B-3%7D \times 720 = 261. 25 $$
Mathinline
body--uriencoded--$$ \normalsize 0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 362.846 \times 10%5e%7B-3%7D \times 1800 = 391.874 $$
Mathinline
body--uriencoded--$$ \normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 10%5e%7B-3%7D \times 2520 = 355.863 $$

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 0.6F_uA_%7Bnv%7D \\0.6F_yA_%7Bg%7D \end%7Bmatrix%7D\right] \end%7Baligned%7D + U_%7Bbs%7DF_uA_%7Bnt%7D

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D =355.863 + 261.25 = 617.113 \; \mathrm%7BkN%7D $$

AISC 360-16 J4-5

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 617.113 / 2 = 308.556 \; \; \mathrm%7BkN%7D $$

 

Required

Available

Check

Result

31.564 kN

308.556 kN

0.102

√

Welding Strength

Fe

480000 kN480 N/mmm2

w

7.07 mm

Fu

362.846  N/mm2

t

6.2 mm

l

135.856 mm

Rnw

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 \times F_e \times 2 \times 0.707 \times w \times l $$
Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 \times 480 \times 2 \times 0.707 \times 7.072 \times 135.856 \times 10%5e%7B-3%7D = 391.258 \; \mathrm%7BkN%7D $$

RnBM

Mathinline
body--uriencoded--$$ \normalsize R_%7BnBM%7D = 0.6 F_u t l = 0.6 \times 362.846 \times 6.2 \times 135.856 \times 10%5e%7B-3%7D = 183.376\; \mathrm%7BkN%7D $$

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = min (R_%7Bnw%7D,R_%7BnBM%7D) = 183.376\; \mathrm%7BkN%7D $$

Rn / Ω

Mathinline
body--uriencoded--$$ \normalsize R_n/ \Omega = 183.376 / 2 = 91.688 \; \; \mathrm%7BkN%7D $$

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