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

 

...

The shear strength of connecting elements in shear is the minimum value obtained according to the limit states of shear yielding and shear rupture. Shear rupture is checked according to AISC 360-16.

Fu

360000 kN/m2

 

An

Image Removed

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

Image Removed

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

 

Rn

Image Removed

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

 

ΦRn

Image Removed

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

√

...

The calculation is made using the Elastic method, one of the methods selected in the steel analysis settings tab. For the details of this check, AISC Manual 14th 7-8 is used as a reference. In this check, the operation is performed on half of the symmetry axis and is calculated to form a force pair with the required force.

Ab

Image Removed

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

Image Removed

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

 

Rn

Image Removed

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

Image Removed

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

 

Required

Available

Ratio

Control

5.313 kN

610,725 kN

0.009

√

...

Bearing strength limit states of the connection plate that are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts are checked according to AISC 360-16.

dh

24+3=27 mm

 

Lc,edge

Image Removed

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

Image Removed

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

Image Removed

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

Image Removed

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

 

Rn-spacing

Image Removed

 

Rn

Image Removed

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

Image Removed

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

Image Removed

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

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

Image Removed

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

Image Removed

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

√

...