Single Plate Connection Design per AISC 36016
How does ideCAD design single plate connection according to AISC 36016?
Single plate connection limit states and geometry checks are done automatically according to AISC 36016.
The block shear limit state is checked automatically according to AISC 36016.
Limit states of single plate flexural yield, plate flexural bucking, and weld strength are checked automatically.
Symbols
A_{b}: Nonthreaded bolt web characteristic crosssectional area
A_{g}: Gross area
A_{n}: Net crosssection area
A_{e}: Effective net crosssectional area
A_{vg}: Gross area under shear stress
A_{nv}: Net area under shear stress
A_{nt}: Net area under tensile stress
A_{w}: Crosssection web area
C_{v}: Coefficient of reduction for shear buckling
d: Characteristic diameter of the stem of the bolt (the diameter of the nonthreaded stem of the bolt)
d_{h}: Bolt hole diameter
F_{y}: Structural steel characteristic yield strength
F_{u}: Structural steel characteristic tensile strength
F_{yb}: Bolt characteristic yield strength
F_{ub}: Bolt characteristic tensile strength
n_{sp}: Number of slip planes
s: Distance between bolthole centers
L: Connector distance
L_{c}: The clear distance between bolt holes
L_{e}: The distance from the center of the bolt hole to the edge of the assembled element
L_{eh}: The horizontal distance from the center of the bolt hole to the edge of the assembled element
L_{ev}: The vertical distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
R_{n}: Characteristic strength
R_{nt}: Characteristic tensile strength
R_{nv}: Characteristic shear strength
U_{bs}: 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 36016.
s_{min} ≥ 3d  AISC 36016 J3.3 


s  79.5 mm 


d  20 mm  s =79.5 mm > s_{min} = 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 36016.
L_{eh} ≥ L_{emin}  AISC 36016 J3.4 


L_{eh}  40 mm  L_{eh} ≥ 2d = 2 * 20 = 40 mm conformity check for application  √ 
L_{emin}  26 mm  Minimum distance check according to AISC 36016 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 is checked per AISC 36016.
L_{ev} ≥ L_{emin}  AISC 36016 J3.4 


L_{ev}  40 mm  L_{eh} ≥ 2d = 2 * 20 = 40 mm conformity check for application  √ 
L_{emin}  26 mm  Minimum distance check according to AISC 36016 Table J3.4  √ 
Weld Size
The minimum size of fillet welds is checked according to AISC 36016 Table J2.4
w ≥ w_{min}  AISC 36016 Table J2.4 


w  12.73 mm 
 √ 
w_{min}  5 mm  AISC 36016 Table J2.4  √ 
Erection Stability
L_{ }≥ h_{b}/2 

 
L  239 mm 


h_{b}  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 78 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.
A_{b} 

F_{n}=F_{nv} 

R_{n} 

R_{n} / Ω 

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 36016.
d_{h}  20+2=22 mm 

L_{c,edge} 


R_{n} 
 AISC 36016 J36a 
R_{nedge} 
 
L_{c,spacing} 


R_{nspacing} 
 
R_{n} 


R_{n} / Ω 


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 36016.
d_{h}  20+2=22 mm 

L_{c,edge} 


R_{n} 
 AISC 36016 J36a 
R_{nedge} 


L_{c,spacing} 


R_{nspacing} 
 
R_{n} 


R_{n}/Ω 


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 36016.
A_{g} 


F_{y}  235.359 N/mm^{2} 

R_{n} 
 AISC 36016 J43 
R_{n}/Ω 


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 36016.
A_{nv} 


F_{u}  362.846 N/mm^{2} 

R_{n} 
 AISC 36016 J43 
R_{n} / Ω 


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 36016.
A_{nv} 


F_{u}  362.846 N/mm^{2} 

R_{n} 
 AISC 36016 J43 
R_{n} / Ω 


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 36016. All block shear modes combined with tensile failure on one plane and shear failure on a perpendicular plane are checked according to AISC 36016.
A_{g} 


A_{nv} 


A_{nt} 


F_{y}  235.359 N/mm^{2} 

F_{u}  362.846 N/mm^{2} 

U_{bs}  1.0 




R_{n} 
 AISC 36016 J43 
R_{n} / Ω 


Required  Available  Check  Result 

68,159 kN  229.569 kN  0.297  √ 
Plate Flexural Buckling
Single plate material slenderness check.
F_{y}  235.359 N/mm^{2} 

t  12 mm  Material thickness 
a  60 mm  Distance from the support to the first bolt 
L  239 mm  Length of material 
λ 


Required  Available  Check 

≤0.70  0.17  √ 
Plate Flexural Yield
Single plate material flexural yielding check.
d_{p}  239 mm  Length of material 
F_{y}  235.359 N/mm^{2} 

t_{p}  12 mm  Material thickness 
a  60 mm  Distance from the support to the first bolt 
R_{n} 


R_{n} / Ω 


Required  Available  Check  Result 

68,159 kN  223.92 kN  0.304  √ 
Weld Strength at Support
w  12.73 mm  Weld leg size 
F_{E}  480 N/mm^{2}  Weld material tensile strength 
l  239 mm  Weld length 
e  60 mm  Eccentricity 
R_{n} 


R_{n} / Ω 


Required  Available  Check  Result 

68,159 kN  421.131 kN  0.162  √ 
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