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changes.mady.by.user oğuzcan hadim

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changes.mady.by.user Zeynep Aladağ

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The calculation is made using the Elastic method, one of the methods selected in the steel analysis settings tab. 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.

dh

24+3=27 mm

 

Lc,edge

Image Removed

 

Rn

Image Removed

AISC 360-16 J3-6a

Rn-edge

Image Removed

 

Lc,spacing

Image Removed

 

Rn-spacing

Image Removed

 

Rn

Image Removed

 

ΦRn

Image Removed

 

Required

Available

Ratio

Control

425.018 kN

1341.36 kN

0.317

Ab

Image Removed

Mathinline
body--uriencoded--$$ \normalsize A_%7Bb%7D = \dfrac %7B \pi d%5e2%7D%7B4%7D = \dfrac %7B \pi 24%5e2%7D%7B4%7D =452.389 $$

AISC 360-16 J3-1

Fn

Image Removed

Mathinline

Rn

Image Removed

ΦRn

Image Removed

 

Required

Ready

Rate

Control

425.018 kN

732.87 kN

0.580

√

Bolt Bearing on Flange Plate

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

body--uriencoded--$$ \normalsize F_n = 0.450F_%7Bub%7D = 0.450 \times 800 = 360 $$

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_%7Bn%7DA_b = 6 \times 360 \times 452.389 \times 10%5e%7B-3%7D = 977.16 $$

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 0.75 \times 977.16 = 732.87 $$

Required

Ready

Rate

Control

425.018 kN

732.87 kN

0.580

√

Bolt Bearing on

...

Flange Plate

The bearing strength limit states of the connection plate, which 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

 

Rn

Image Removed

AISC 360-16 J3-6a

Rn-edge

Image Removed

 

Lc,spacing

Image Removed

body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 75 - 0.5 \times 27 = 61.5 $$

 

Rn

-spacing

Image Removed

Mathinline

 

Rn

Image Removed

 

ΦRn

Image Removed

 

Required

Available

Ratio

Control

418.114 kN

1305.591 kN

0.320

√

Flange Plate Tension Yield

The yield limit state of the connection plate subjected to tension is checked according to AISC 360-16.

...

Ag

...

 

...

Fy

...

235 N/mm2

...

 

...

Rn

...

AISC 360-16 J4-1

...

ΦRn

...

Required

...

Available

...

Ratio

...

Control

...

301.881 kN

...

571.92 kN

...

0.529

...

√

Flange Plate Tension Rupture

The limit state of the flange plate tension rupture is checked according to AISC 360-16.

...

An

...

 

...

Ae

...

 

...

Fu

...

360 N/mm2

...

 

...

U

...

1.00

...

 

...

Rn

...

AISC 360-16 J4-2

...

ΦRn

...

 

...

Required

...

Available

...

Ratio

...

Control

...

301.881 kN

...

494.1 kN

...

0.611

...

√

Flange Plate Block Shear

The block shear limit state is checked according to AISC 360-16. All block shear modes combined with tensile failure on one plane and shear failure on a perpendicular plane are checked according to AISC 360-16.

Ag

Image Removed

 

Anv

Image Removed

 

Ant

Image Removed

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(61.5)(15)(360 \times 10%5e%7B-3%7D) \\2.4(24)(15)(360 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =311.04

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = 72 - 27 = 45 $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(45)(15)(360 \times 10%5e%7B-3%7D) \\2.4(24)(15)(360 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =291.6

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = n_e R_%7Bn-edge%7D + n_s R_%7Bn-spacing%7D $$
Mathinline
body$$ \normalsize R_n = 2 \times 311.04 + 4 \times 291.6 = 1788.48 $$

 

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 0.75 \times 1788.48 = 1341.36 $$

 

Required

Available

Ratio

Control

425.018 kN

1341.36 kN

0.317

√

Bolt Bearing on Beam Flange

The bearing strength limit states of the connection plate, which 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

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 75 - 0.5 \times 27 = 61.5 $$

 

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(61.5)(14.6)(360 \times 10%5e%7B-3%7D) \\2.4(24)(14.6)(360 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =302.746

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = 72 - 27 = 45 $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(45)(14.6)(360 \times 10%5e%7B-3%7D) \\2.4(24)(14.6)(360 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =283.824

 

Rn

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

Mathinline
body$$ \normalsize R_n = 2 \times 302.746 + 4 \times 283.824 = 1740.788 $$

 

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 0.75 \times 1740.788 = 1305.591 $$

 

Required

Available

Ratio

Control

418.114 kN

1305.591 kN

0.320

√

Flange Plate Tension Yield

The yield limit state of the connection plate subjected to tension is checked according to AISC 360-16.

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = h_p \times t_ p = 180 \times 15 =2700 $$

 

Fy

235 N/mm2

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_%7By%7DA_g = 235 \times 2700 = 634.5 $$

AISC 360-16 J4-1

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 0.9 \times 634.5 = 571.05 $$

Required

Available

Ratio

Control

301.881 kN

571.92 kN

0.529

√

Flange Plate Tension Rupture

The limit state of the flange plate tension rupture is checked according to AISC 360-16.

An

Mathinline
body$$ \normalsize A_n = 15( 180 - 2 \times (24 + 3 + 2 ) ) = 1830 $$

 

Ae

Mathinline
body$$ \normalsize A_e = A_n \times U = 1830 \times 1 = 1830 $$

 

Fu

360 N/mm2

 

U

1.00

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_%7Bu%7DA_e = 360 \times 1830 = 658.8 $$

AISC 360-16 J4-2

ΦRn

Mathinline
body$$ \normalsize \varphi R_n = 0.75 \times 658.8 = 494.1 $$

 

Required

Available

Ratio

Control

301.881 kN

494.1 kN

0.611

√

Flange Plate Block Shear

The block shear limit state is checked according to AISC 360-16. All block shear modes combined with tensile failure on one plane and shear failure on a perpendicular plane are checked according to AISC 360-16.

Ag

Mathinline
body--uriencoded--$$ \normalsize A_%7Bg%7D = 15 ( 4 \times 72 + 2 \times 75 ) =6570 \; \; \mathrm%7Bmm%5e2%7D $$

 

Anv

Mathinline
body--uriencoded--$$ \normalsize A_%7Bnv%7D = 6570 - 2 ( 2.5 \times 29 \times 15 ) =4395 $$

 

Ant

Mathinline
body--uriencoded--$$ \normalsize A_%7Bnt%7D = 15 \times 2( 35 - 0.5 \times 29 ) =615 $$

 

Fy

235 N/mm2

 

Fu

360 N/mm2

 

Ubs

1.0

 

 

 

Rn

AISC 360-16 J4-5

ΦRn

 

...