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How does ideCAD design single plate connection according to AISC 360-16?

Tip
  • Single plate connection limit states checks and geometry checks are done automatically according to AISC 360-16?

Tip
  • The block shear limit state is checked automatically according to AISC 360-16.

Symbols

...

Connection Geometry

...

Geometry Checks

Bolt Spacing

The distance between the centers of bolts is checked per AISC 360-16.

...

smin ≥ 3d       

...

AISC 360-16 J3.3

...

 

...

 

...

s

...

79.5 mm

...

 

...

 

...

d

...

20 mm

...

s =79.5 mm > smin = 3*20=60 mm

...

Horizontal Edge Distance

The distance from the center of the hole to the edge of the connected part in the horizontal direction is checked per AISC 360-16.

...

Leh ≥ Le-min     

...

AISC 360-16 J3.4

...

 

...

 

...

Leh

...

40 mm

...

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

...

...

Le-min

...

26 mm

...

Minimum distance check according to AISC 360-16 Table J3.4

...

Vertical Edge Distance

The distance from the center of the hole to the edge of the connected part in the vertical direction How does ideCAD design single plate connection according to AISC 360-16?

...

Tip
  • Single plate connection limit states and geometry checks are done automatically according to AISC 360-16.

Tip
  • The block shear limit state is checked automatically according to AISC 360-16.

Tip
  • Limit states of single plate flexural yield, plate flexural bucking, and weld strength are checked automatically.

...

Symbols

Ab: Non-threaded bolt web characteristic cross-sectional area
Ag: Gross area
An: Net cross-section area
Ae: Effective net cross-sectional area
Avg: Gross area under shear stress
Anv: Net area under shear stress
Ant: Net area under tensile stress
Aw: Cross-section web area
Cv: Coefficient of reduction for shear buckling
d: Characteristic diameter of the stem of the bolt (the diameter of the non-threaded stem of the bolt)
dh: Bolt hole diameter
Fy: Structural steel characteristic yield strength
Fu: Structural steel characteristic tensile strength
Fyb: Bolt characteristic yield strength
Fub: Bolt characteristic tensile strength
nsp: Number of slip planes
s: Distance between bolt-holecenters
L: Connector distance
Lc: The clear distance between bolt holes
Le: The distance from the center of the bolt hole to the edge of the assembled element
Leh: The horizontal distance from the center of the bolt hole to the edge of the assembled element
Lev: The vertical distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
Rn: Characteristic strength
Rnt: Characteristic tensile strength
Rnv: Characteristic shear strength
Ubs: A coefficient considering the spread of tensile stresses

...

Connection Geometry

...

Geometry Checks

Bolt Spacing

The distance between the centers of bolts is checked per AISC 360-16.

Lev ≥ Le-min     

smin ≥ 3d       

AISC 360-16 J3.

4

3

 

 

s

79.5 mm

 

 

Lev

d

40

20 mm

Leh ≥ 2d = 2

s =79.5 mm > smin = 3*20=

40

60 mm

conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table J3.4

Weld Size

...

Horizontal Edge Distance

The distance from the center of the hole to the edge of the connected part in the horizontal direction is checked per AISC 360-16 Table J2.4

w ≥ wmin     

Leh ≥ Le-min     

AISC 360-16

Table J2

J3.4

 

 

w

12.73 mm

 

wmin

5 mm

Leh

40 mm

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table

J2

J3.4

Erection Stability

L≥ hb/2

Vertical Edge Distance

The distance from the center of the hole to the edge of the connected part in the vertical direction is checked per AISC 360-16.

Lev ≥ Le-min     

AISC 360-16 J3.4

 

 

Lev

239

40 mm

 

 

hb

248.6 mm

L=239 > 248.6/2=124.3 mm

Strength Checks

Bolt Shear at Beam

  • 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 it is calculated to form a force pair with the required force.

Ab

Mathinline
body--uriencoded--\normalsize A_b = \dfrac%7B\pi d%5e2%7D%7B4%7D = \dfrac%7B\pi %7B20%7D%5e2%7D%7B4%7D =314.159 \; \; \mathrm%7Bmm%5e2%7D

Fn=Fnv

 

Mathinline
body--uriencoded--\normalsize F_n = F_%7Bnv%7D=0.450F_%7Bub%7D=0.450\times 800 = 360 \; \; \mathrm%7BMPa%7D

Rn

Mathinline
body--uriencoded--\normalsize R_n = F_%7Bn%7D \times A_b =360 \times 314.159 \times 10%5e%7B-3%7D = 113.097 \; \; \mathrm%7BkN%7D
 

Rn / Ω

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table J3.4

Weld Size

The minimum size of fillet welds is checked according to AISC 360-16 Table J2.4

w ≥ wmin     

AISC 360-16 Table J2.4

 

 

w

12.73 mm

 

wmin

5 mm

AISC 360-16 Table J2.4

Erection Stability

L≥ hb/2

 

 

L

239 mm

 

 

hb

248.6 mm

L=239 > 248.6/2=124.3 mm

Strength Checks

Bolt Shear at Beam

  • 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.

Bolt Bearing on Beam

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

Lc,edge

Ab

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 113.097 /2 = 56.549 A_b = \dfrac%7B\pi d%5e2%7D%7B4%7D = \dfrac%7B\pi %7B20%7D%5e2%7D%7B4%7D =314.159 \; \; \mathrm%7BkN%7Dmathrm%7Bmm%5e2%7D

Fn=Fnv

 

Required

Mathinline

Available

Check

Result

34,318 kN

56,549 kN

0.607

dh

20+2=22 mm

 

body--uriencoded--\normalsize F_n = F_%7Bnv%7D=0.450F_%7Bub%7D=0.450\times 800 = 360 \; \; \mathrm%7BMPa%7D

Rn

Mathinline
body--uriencoded--\normalsize R_n = F_%7Bn%7D \times A_b =360 \times 314.159 \times 10%5e%7B-3%7D = 113.097 \; \; \mathrm%7BkN%7D
 

Rn / Ω

Mathinline
body--uriencoded--\normalsize

L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = \Big[ \Big( \dfrac%7B378.6-239%7D%7B2%7D \Big)+40-0.5 \times 22 \Big] = 98.8 \; \; \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

R_n/ \Omega = 113.097 /2 = 56.549 \; \; \mathrm%7BkN%7D
 

Required

Available

Check

Result

34,318 kN

56,549 kN

0.607

Bolt Bearing on Beam

The bearing strength limit states of the 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

20+2=22 mm

 

Lc,edge

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize RL_%7Bn%7D%7Bc,edge%7D = \mathrm%7Bmin%7D\leftBig[ \begin%7Bmatrix%7D 1.2 ( 98.9) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 123.658 \; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--\normalsize L_%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

 

Rn-spacing

Big( \dfrac%7B378.6-239%7D%7B2%7D \Big)+40-0.5 \times 22 \Big] = 98.8 \; \; \mathrm%7Bmm%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_

%7Bn%7D

n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.

2 ( 57.5

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 ( 98.9) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 123.658 \; \mathrm%7BkN%7D

 

RnLc,spacing

Mathinline
body--uriencoded--\normalsize

R

L_

%7Bn%7D = n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D

%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D= 1 \times 123.658 + 2 \times 123.658 = 370.974 \mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 57.5) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 123.658 \; \mathrm%7BkN%7D

 

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_

n/ \Omega = 370.974 /2 = 185.487 \;

%7Bn%7D = n_e R_%7Bn,edge%7D + n_s R_%7Bn,spacing%7D
Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = 1 \times 123.658 + 2 \times 123.658 = 370.974 \; \mathrm%7BkN%7D
 

Required

Available

Check

Result

68,159 kN

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 370.974 /2 = 185.487 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

185,487 kN

0.367

Bolt Bearing on Plate

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

20+2=22 mm

 

Lc,edge

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = 40 -0.5 \times 22 = 29 \; \; \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 ( 29) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 151.525 \; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--\normalsize L_%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 57.5) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 208.99 \; \mathrm%7BkN%7D

 

Rn

\right]\end%7Baligned%7D = 208.99 \; \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 = 1 \times 151.525 + 2 \times 208.99 = 569.505 \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 569.505 /2 =284.75 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

284,75 kN

0.239

Plate Shear Yield

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 yielding is checked according to AISC 360-16.

Ag

Mathinline
body--uriencoded--\normalsize A_%7Bg%7D = L_pt_p = 239 \times 12 = 2868 \; \; \mathrm%7Bmm%5e2%7D

 

Fy

235.359 N/mm2

 

Rn

Mathinline
body--uriencoded--\normalsize R_n = 0.6F_%7By%7D A_g
Mathinline
body--uriencoded--\normalsize R_n = 0.6 \times 235.359 \times2868 \times 10%5e%7B-3%7D = 405 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 405 /1.5 =270 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

270 kN

0.252

Beam Shear Rupture

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.

Anv

Mathinline
body--uriencoded--\normalsize

R

A_

%7Bn%7D

%7Bnv%7D =

n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D Mathinlinebody--uriencoded--\normalsize R_%7Bn%7D = 1 \times 151.525 + 2 \times 208.99 = 569.505 \; \mathrm%7BkN%7D

t_p(d_b-n_bd_e) = 7.1 \times (300-3 \times 24) = 1618.8 \; \; \mathrm%7Bmm%5e2%7D

 

Fu

362.846 N/mm2

 

Rn

Mathinline
body--uriencoded--\normalsize R_n

/ \Omega

=

569.505 /2 =284.75 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

284,75 kN

0.239

Plate Shear Yield

In the case of the block shear limit state, the gross area yielding of the tensile plane is checked according to AISC 360-16.

Ag

0.6F_%7Bu%7D A_%7Bnv%7D

Mathinline
body--uriencoded--\normalsize R_n = 0.6 \times 362.846 \times 1618.8 \times 10%5e%7B-3%7D = 352.425 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

Mathinline
body--uriencoded--\normalsize

A_%7Bg%7D = L_pt_p = 239 \times 12 = 2868 \

R_n/ \Omega = 352.425 /2 =176.213 \; \; \

mathrm%7Bmm%5e2%7D

mathrm%7BkN%7D

 

Fy

235.359 N/mm2

 

Rn

Mathinlinebody--uriencoded--\normalsize R_n = 0.6F_%7By%7D A_g

Required

Available

Check

Result

68,159 kN

176.213 kN

0.387

Plate Shear Rupture

In the case of the block shear limit state, the net area rupture of the tensile plane of the connection part is checked according to AISC 360-16.

Anv

Mathinline
body--uriencoded--\normalsize

R_n = 0.6 \times 235.359 \times2868 \times 10%5e%7B-3%7D = 405 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn

A_%7Bnv%7D = t_p(d_b-n_bd_e) = 12 \times (239-3 \times 24) = 2004 \; \; \mathrm%7Bmm%5e2%7D

 

Fu

362.846 N/mm2

 

Rn

Mathinline
body--uriencoded--\normalsize R_n = 0.6F_%7Bu%7D A_%7Bnv%7D

Mathinline
body--uriencoded--\normalsize R_n

/ \Omega = 405 /1.5 =270 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

270 kN

0.252

Beam Shear Rupture

In the case of the block shear limit state, the net area rupture of the tensile plane of the connection part is checked according to AISC 360-16.

Anv

= 0.6 \times 362.846 \times 2004 \times 10%5e%7B-3%7D = 436.286 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

Mathinline
body--uriencoded

--\normalsize A_%7Bnv%7D = t_p(d_b-n_bd_e) = 7.1 \times (300-3 \times 24) = 1618.8

--\normalsize R_n/ \Omega = 436.286 /2 =218.143\; \; \

mathrm%7Bmm%5e2%7D

mathrm%7BkN%7D

 

Fu

362.846 N/mm2

 

Rn

Mathinlinebody--uriencoded--\normalsize R_n = 0.6F_%7Bu%7D A_%7Bnv%7D

Required

Available

Check

Result

68,159 kN

218.143 kN

0.312

Plate Block Shear Rupture

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

R

A_

n = 0.6

%7Bg%7D = (2 \times

362.846 \times 1618.8 \times 10%5e%7B-3%7D = 352.425

79.5 +40) \times 12 = 2388 \; \; \

mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

mathrm%7Bmm%5e2%7D

 

Anv

Mathinline
body--uriencoded--\normalsize

R_n/ \Omega = 352.425 /2 =176.213 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

176.213 kN

0.387

Plate Shear Rupture

In the case of the block shear limit state, the net area rupture of the tensile plane of the connection part is checked according to AISC 360-16.

Anv

A_%7Bnv%7D = ((2 \times 79.5+40)-2.5 \times 24) \times 12 = 1668 \; \; \mathrm%7Bmm%5e2%7D

 

Ant

Mathinline
body--uriencoded--\normalsize A_

%7Bnv%7D = t_p(d_b-n_bd_e)

%7Bnt%7D = 12 \times(

239

40-

3

0.5 \times 24) =

2004

336 \; \; \mathrm%7Bmm%5e2%7D

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

Rn

 

Mathinline
body--uriencoded--\normalsize

R_n = 0.6F_%7Bu%7D A_%7Bnv%7D Mathinlinebody--uriencoded--\normalsize R_n = 0.6

U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 362.846 \times

2004

336 \times 10%5e%7B-3%7D =

436

121.

286

Rn / Ω

916 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Mathinline
body--uriencoded--\normalsize

R_n/ \Omega = 436.286 /2 =218.143

0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 362.846 \times 1668 \times 10%5e%7B-3%7D = 363.136 \; \; \mathrm%7BkN%7D

 
Ag

Mathinline

Required

Available

Check

Result

68,159 kN

218.143 kN

0.312

Plate Block Shear Rupture

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.

body--uriencoded--\normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 2388 \times 10%5e%7B-3%7D = 337.222 \; \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize

A

R_

%7Bg%7D = (2 \times 79.5 +40) \times 12 = 2388 \; \; \mathrm%7Bmm%5e2%7D

 

Anv

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 AR_%7Bnv%7D = ((2 \times 79.5+40)-2.5 \times 24) \times 12 = 1668 %7Bn%7D =337.222+121.916=459.18 \; \; \mathrm%7Bmm%5e2%7D

 

Ant

mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

Mathinline
body--uriencoded--\normalsize A_%7Bnt%7D = 12 \times(40-0.5 \times 24) = 336 R_n/ \Omega = 459.18 /2 =229.569\; \; \mathrm%7Bmm%5e2%7Dmathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

229.569 kN

0.297

Plate Flexural Buckling

Single plate material slenderness check.

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

t

12 mm

Material thickness 

a

60 mm

Distance from the support to the first bolt

L

239 mm

Length of material

λ

Mathinline
body--uriencoded--\normalsize

U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 362.846 \times 336 \times 10%5e%7B-3%7D = 121.916 \; \; \mathrm%7BkN%7D

Mathinline
body--uriencoded--\normalsize 0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 362.846 \times 1668 \times 10%5e%7B-3%7D = 363.136 \; \; \mathrm%7BkN%7D

Mathinline
body--uriencoded--\normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 2338 \times 10%5e%7B-3%7D = 337.222 \; \; \mathrm%7BkN%7D

 

Rn

Mathinlinebody--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

\lambda = \dfrac%7B0.381L \sqrt%7BF_y%7D%7D %7Bt \sqrt%7B47500+2800 \big( \frac%7BL%7D%7Ba%7D \big)%5e2%7D %7D = \dfrac%7B0.381 \times239 \sqrt%7B235.36%7D%7D %7B12 \sqrt%7B47500+2800 \big( \frac%7B239%7D%7B60%7D \big)%5e2%7D %7D = 0.17

 

Required

Available

Check

≤0.70

0.17

Plate Flexural Yield

Single plate material flexural yielding check.

dp

239 mm

 Length of material

Fy

235.359 N/mm2

 

tp

12 mm

 Material thickness 

a

60 mm

Distance from the support to the first bolt

Rn

Mathinline
body--uriencoded--\normalsize R_

%7Bn%7D =337.222+121.916=459.18 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

n = \dfrac%7BF_yd_pt_p%7D %7Bt \sqrt%7B2.25+16\Big( \dfrac%7Ba%7D%7Bd_p%7D \Big)%5e2%7D %7D

Mathinline
body--uriencoded--\normalsize R_n

/

= \

Omega = 459.18 /2 =229.569\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

229.569 kN

0.297

Plate Flexural Buckling

...

Fy

...

235.359 N/mm2

...

 

...

t

...

12 mm

...

 

...

a

...

60 mm

...

 

...

L

...

239 mm

...

 

...

λ

...

 

...

Required

...

Available

...

Check

...

≤0.70

...

0.17

...

Plate Flexural Yield

...

dp

...

239 mm

...

 

...

Fy

...

235.359 N/mm2

...

 

...

tp

...

12 mm

...

 

...

a

...

60 mm

...

 

...

Rn

...

 

...

Rn / Ω

...

 

...

Required

...

Available

...

Check

...

Result

...

68,159 kN

...

223.92 kN

...

0.304

...

Weld Strength at Support

w

12.73 mm

 

FE

480 N/mm2

 

l

239 mm

 

e

60 mm

 

Rn

Image Removed

 

Rn / Ω

Image Removed

dfrac%7B235.359 \times239 \times 12 \times 10%5e%7B-3%7D%7D %7B\sqrt%7B2.25+16 \Big( \dfrac%7B60%7D%7B239%7D \Big)%5e2%7D %7D = 373.946\; \; \mathrm%7BkN%7D

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 373.946 /1.67 =223.92\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

223.92 kN

0.304

Weld Strength at Support

w

12.73 mm

Weld leg size

FE

480 N/mm2

Weld material tensile strength

l

239 mm

 Weld length

e

60 mm

 Eccentricity

Rn

Mathinline
body--uriencoded--\normalsize R_n = \dfrac%7B wlF_E %7D %7B\sqrt%7B2.25+12\Big( \dfrac%7Be%7D%7Bl%7D \Big)%5e2%7D %7D

Mathinline
body--uriencoded--\normalsize R_n = \dfrac%7B 12.73 \times239 \times 480 \times 10%5e%7B-3%7D %7D %7B\sqrt%7B2.25+12\Big( \dfrac%7B60%7D%7B239%7D \Big)%5e2%7D %7D =842.272 \; \; \mathrm%7BkN%7D

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 842.272 /2 =421.131 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

421.131 kN

0.162

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