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changes.mady.by.user Zeynep Aladağ

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Lwı

760 mm

AISC 360-16 J2.4(c) 

Lwt

210 mm

 

Fe

490 N/mm2

 

Rnwl

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnwl%7D = min ( R_%7Bnw%7D , R_%7BnBM%7D ) L_%7Bwl%7D = 2352 \times 760 \times 10%5e%7B-3%7D =1787.52\; \mathrm%7BkN%7D $$

 

Rnwt

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnwt%7D = min ( R_%7Bnw%7D , R_%7BnBM%7D ) L_%7Bwt%7D = 2352 \times 210 \times 10%5e%7B-3%7D =493.92\; \mathrm%7BkN%7D $$

 

Rnw

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 F_E 0.707 w = 0.6 \times 490 \times 0.707 \times 11.315 =2352\; \mathrm%7BkN%7D $$

 

w

11.315 mm

 

Fu-plate

360 N/mm2

 

Fu-flange

360 N/mm2

 

tp

16 mm

 

tf

17.2 mm

 

RnBM

Mathinline
body--uriencoded--$$ \normalsize R_%7BnBM%7D = min ( 0.6 F_%7Bu-plate%7D \times t_p , 0.6F_%7Bu-flange%7D ) $$
Mathinline
body--uriencoded--$$ \normalsize R_%7BnBM%7D = (0.6 \times 360 \times 16; 0.6 \times 360 \times 17.2 ) = 3456\; \mathrm%7BkN%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = max ( R_%7Bnwl%7D + R_%7Bnwt%7D , 0.85R_%7Bnwl%7D + 1.5R_%7Bnwt%7D ) = 2281.44\; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 2281.44 = 1711.08 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

505.682 kN

1140.426 kN

0.296

√

...

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = h_p t_p = 280 \times 16 = 4480 \; \mathrm%7Bmm%5e2%7D $$

 

Fy

275 N/mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = F_y A_g = 275 \times 10%5e%7B-3%7D \times 4480 = 1232 \; \mathrm%7BkN%7D $$

AISC 360-16 (J4-1)

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.90 \times 1232 = 1108.8 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

505.682 kN

1108.8 kN

0.456

√

...

An

Mathinline
body--uriencoded--$$ \normalsize A_%7Bn%7D _%7Bg%7D = h_p t_p = 280 \times 16 = 4480 \; \mathrm%7Bmm%5e2%7D $$

 

Ae

Mathinline
body--uriencoded--$$ \normalsize A_%7Be%7D = A_%7Bn%7D U = 4480 \times 1.0 = 4480 $$\; \mathrm%7Bmm%5e2%7D$$

 

Fu

410 N/mm2

 

U

1.00

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = F_%7Bu%7D A_%7Be%7D = 410 \times 10%5e%7B-3%7D \times 4480 = 1836.8 \; \mathrm%7BkN%7D $$

AISC 360-16 (J4-2)

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 1836.8 = 1377.6 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

505.682 kN

1377.6 kN

0.367

√

...

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = 2 \times 16 \times(400 - 20) = 12160 \; \mathrm%7Bmm%5e2%7D $$

 

Anv

Mathinline
body--uriencoded--$$ \normalsize A_%7Bnv%7D = 12160 - 0 = 12160 \; \mathrm%7Bmm%5e2%7D $$

 

Ant

Mathinline
body--uriencoded--$$ \normalsize A_%7Bnt%7D = 210 \times 16 = 3360 \; \mathrm%7Bmm%5e2%7D $$

 

Fy

275 N/mm2

 

Fu

410 N/mm2

 

Ubs

1.0

 

 

Mathinline
body--uriencoded--$$ \normalsize U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 410 \times 10%5e%7B-3%7D \times 3360 = 1377.6 $$

Mathinline
body--uriencoded--$$ \normalsize 0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 410 \times 10%5e%7B-3%7D \times 12160 = 2991.36 $$

Mathinline
body--uriencoded--$$ \normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 275 \times 10%5e%7B-3%7D \times 12160 = 2006.4 $$

 

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 =2006.4 + 1377.6 = 3384\; \mathrm%7BkN%7D

AISC 360-16 (J4-5)

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 3384 = 2538 \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

505.682 kN

2538 kN

0.199

√

...

K

0.65

 

L

20 mm

 

r

4.619 mm

 

KL / r

2.81

 

Fy

275 N/mm2

 

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = h_p t_p = 280 \times 16 = 4480 \; \mathrm%7Bmm%5e2%7D $$

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = F_%7By%7D A_%7Bg%7D = 275 \times 10%5e%7B-3%7D \times 4480 = 1232 \; \mathrm%7BkN%7D $$

AISC 360-16 (J4-6)

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.90 \times 1232 = 1108.8 $$\; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

505.682 kN

1108.8 kN

0.456

√

...

w

11.315 mm

FE

490 N/mm2

l

260 mm

e

117.5 mm

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = \dfrac%7B w l F_E %7D%7B\sqrt %7B2.25 + 12 \left ( \dfrac%7Be%7D%7Bl%7D \right )%5e2 %7D %7D = \dfrac%7B 11.315 \times 260 \times 490 \times 10%5e%7B-3%7D %7D%7B\sqrt %7B2.25 + 12 \left ( \dfrac%7B117.5%7D%7B260%7D \right )%5e2 %7D %7D =664.86 \; \mathrm%7BkN%7D $$

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 664.86 = 498.65 \; \mathrm%7BkN%7D $$

Required

Available

Ratio

Control

135.975 kN

498.69 kN

0.273

√

...

The nominal and design strength of the weld is checked according to AISC 360-16

Fe

490000 kN490 N/mmm2

w

11.315 mm

Fu

360  N/mm2

t

11.1 mm

Rnw

Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 F_E 0.707 w $$
Mathinline
body--uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 \times 490 \times 0.707 \times 11.315 \times 10%5e%7B-3%7D =2351.79 \; \mathrm%7BkN%7D $$

RnBM

Mathinline
body--uriencoded--$$ \normalsize R_%7BnBM%7D = 0.6 F_u t = 0.6 \times 360 \times 11.1 =2397.6\; \mathrm%7BkN%7D $$

AISC Manual 14th 8-12

Rn

Mathinline
body--uriencoded--$$ \normalsize R_%7Bn%7D = min ( R_%7Bnw%7D , R_%7BnBM%7D ) =2351.79\; \mathrm%7BkN%7D $$

ΦRn

 

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 2351.79 = 1764 $$\; \mathrm%7BkN%7D$$

Required

Available

Ratio

Control

579.254 kN/m

1764 kN/m

0.328

√

...

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

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

√

...

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

√

...

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

√

...

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

√

...