End Plate Shear Connection Design per AISC 36016
How does ideCAD design end plate shear connection according to AISC 36016?
End plate shear 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 state checks are made automatically according to AISC 36016.
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  60 mm 


d  20 mm  s =60 mm > s_{min} = 3*16=48 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 * 16 = 32 mm conformity check for application  √ 
L_{e min}  22 mm  Minimum distance check according to 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}  45 mm  L_{ev} ≥ 2d = 2 * 16 = 32 mm conformity check for application  √ 
L_{emin}  22 mm  Minimum distance check according to Table J3.4  √ 
Welding Thickness
The minimum size of fillet welds is checked according to AISC 36016 Table J2.4
w ≥ w_{min}  AISC 36016 Table J2.4 


w  7.072mm 
 √ 
w_{min}  5 mm  Table J2.4  √ 
Erection Stability
L_{ }≥ h_{b} / 2 

 
L  150 mm 


h_{b}  190.4 mm  L=150 > 190.4/2=95.2 mm  √ 
Strength Checks
Bolt Shear at Support
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_{nv} 


R_{n} 
 AISC 36016 J31 
R _{n} / Ω 


Required  Available  Check  Result 

31.564 kN  144.765 kN  0.218  √ 
Bolt Bearing on Support
Bearing strength limit states of the connection part that are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts are checked according to AISC 36016.
d_{h}  16+2=18 mm 

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


R_{nspacing} 


R_{n} / Ω 


Required  Available  Check  Result 

31.564 kN  197,853 kN  0.160  √ 
Bolt Bearing on Plate
Bearing strength limit states of the connection part that are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts are checked according to AISC 36016.
d_{h}  16+2=18 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 

31.564 kN  334,399 kN  0.094  √ 
Beam 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 

31.564 kN  122.166 kN  0.258  √ 
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 

31.564 kN  338.77 kN  0.093  √ 
Plate 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 J44 
R_{n} / Ω 


Required  Available  Check  Result 

31.564 kN  287,374 kN  0.110  √ 
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 J45 
R_{n} / Ω 


Required  Available  Check  Result 

31.564 kN  308.556 kN  0.102  √ 
Welding Strength
F_{e}  480 N/mm^{2} 
w  7.07 mm 
F_{u}  362.846 N/mm^{2} 
t  6.2 mm 
l  135.856 mm 
R_{nw} 

R_{nBM} 

Rn 

R_{n} / Ω 

Required  Available  Check  Result 

31.564 kN  91.688 kN  0.344  √ 
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