Double Angle Connection Design per AISC 360-16

Owned by nurgül Kaya (Unlicensed)
Last updated: Feb 20, 2024 by oğuzcan hadim
4 min read

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

  • Double angle connection limit states and geometry checks are done automatically according to AISC 360-16.

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

  • Limit state checks are made automatically according to AISC 360-16, depending on whether the connection type selected by the user is bolted or welded.

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-hole centers
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

Bolts 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

50.75 mm

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

√

Le-min

26 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 360-16.

Lev ≥ Le- min     

AISC 360-16 J3.4

 

 

Lev

40 mm

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

√

Le- min

26 mm

Minimum distance check according to Table J3.4

√

Weld Size

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

a ≥ a min     

AISC 360-16 Table J2.4

 

 

a

7.072 mm

 

√

amin

5 mm

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

Angle 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

 

Fy

235.359 N/mm2

 

Rn

AISC 360-16 J4-3

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

540 kN

0.136

√

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

 

Fu

362.846 N/mm2

 

Rn

AISC 360-16 J4-4

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

176.213 kN

0.416

√

Angle Shear Rupture at Beam

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

 

Fu

362.846 N/mm2

 

Rn

AISC 360-16 J4-4

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

436,286 kN

0.168

√

Angle Block Shear at Beam

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

 

Anv

 

Ant

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

 

 

Rn

AISC 360-16 J4-5

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

505.94 kN

0.145

√

Bolt Bearing on Beam

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

 

Rn

AISC 360-16 J3-6a

Rn-edge

 

Lc,spacing

 

Rn-spacing

 

Rn

 

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

185,487 kN

0.395

√

Bolt Bearing on Angle at Beam

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

 

Rn

AISC 360-16 J3-6a

Rn-edge

 

Lc,spacing

 

Rn-spacing

 

Rn

 

 

Rn / Ω

 

Required

Available

Check

Result

Required

Available

Check

Result

73.288 kN

569.505 kN

0.129

√

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.

Ab

Fn

 

Rn

Rn / Ω

Required

Available

Check

Result

Required

Available

Check

Result

40.195

113.097 kN

0.355

√

Weld Strength at Support

Fe

480000 kN/m2

w

7.072

Fu

362.846  N/mm2

l

239 mm

Rn

Rn / Ω

Required

Ready

Rate

Control

Required

Ready

Rate

Control

73.288 kN

171.6 kN

0.427

√