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Project data
Project name
Project number
Author
Description
Date 04-Nov-23
Design code EN

Material
Steel S 355, S 235
Concrete C25/30

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Project item Column to rafter connection

Design
Name Column to rafter connection
Description
Analysis Stress, strain/ simplified loading

Beams and columns

β– γ- α- Offset Offset Offset
Name Cross-section Direction Pitch Rotation ex ey ez Forces in
[°] [°] [°] [mm] [mm] [mm]
10 -
Main T 0.0 -30.0 0.0 0 0 0 Node
BoxFl100x(50/50)
2-
I150x75x5x7 90.0 90.0 90.0 0 0 0 Node
I150x75x5x7(I150)
10 -
ST1 90.0 27.0 -28.0 0 -100 0 Node
BoxFl100x(50/50)
10 -
ST2 -90.0 27.0 28.0 0 100 0 Node
BoxFl100x(50/50)

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Cross-sections
Name Material
10 - BoxFl100x(50/50) S 235
2 - I150x75x5x7(I150) S 235

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Cross-sections
Name Material Drawing

10 - BoxFl100x(50/50) S 235

2 - I150x75x5x7(I150) S 235

Load effects (equilibrium not required)

N Vy Vz Mx My Mz
Name Member
[kN] [kN] [kN] [kNm] [kNm] [kNm]
LE1 Main T -5.6 0.0 -2.6 0.0 0.0 0.0
Main T 0.0 0.0 0.0 0.0 1.0 0.0
ST1 -0.5 -0.5 -2.0 0.0 1.0 0.0
ST2 -0.9 -0.5 -3.8 0.0 1.0 0.0

Check

Summary
Name Value Status
Analysis 100.0% OK
Plates 0.0 < 5.0% OK
Welds 98.3 < 100% OK
Buckling Not calculated

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Plates
Thickness σEd εPl σcEd
Name Loads Status
[mm] [MPa] [%] [MPa]
Main T-tfl 1 2.5 LE1 100.3 0.0 0.0 OK
Main T-bfl 1 2.5 LE1 140.0 0.0 0.0 OK
Main T-w 1 2.5 LE1 166.9 0.0 0.0 OK
Main T-w 2 2.5 LE1 105.1 0.0 0.0 OK
I150x75x5x7-bfl 1 7.0 LE1 53.5 0.0 0.0 OK
I150x75x5x7-tfl 1 7.0 LE1 62.2 0.0 0.0 OK
I150x75x5x7-w 1 5.0 LE1 24.3 0.0 0.0 OK
ST1-tfl 1 2.5 LE1 155.5 0.0 0.0 OK
ST1-bfl 1 2.5 LE1 48.3 0.0 0.0 OK
ST1-w 1 2.5 LE1 127.5 0.0 0.0 OK
ST1-w 2 2.5 LE1 123.6 0.0 0.0 OK
ST2-tfl 1 2.5 LE1 150.2 0.0 0.0 OK
ST2-bfl 1 2.5 LE1 38.1 0.0 0.0 OK
ST2-w 1 2.5 LE1 146.2 0.0 0.0 OK
ST2-w 2 2.5 LE1 113.5 0.0 0.0 OK

Design data
fy εlim
Material
[MPa] [%]
S 235 235.0 5.0

Overall check, LE1

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Strain check, LE1

Equivalent stress, LE1

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Welds (Plastic redistribution)

Throat σ⏊ τ⏊
Length σw,Ed εPl τ|| Ut Utc
Item Edge th. Loads Status
[mm] [MPa] [%] [MPa] [MPa] [MPa] [%] [%]
[mm]
Main T-w 2 ST1-tfl 1 2.5 51 LE1 OK
Main T-w 1 ST2-tfl 1 2.5 51 LE1 OK
Main T-bfl I150x75x5x7-bfl
◢3.0◣ 50 LE1 98.9 0.0 56.1 12.2 45.4 27.5 14.8 OK
1 1
◢3.0◣ 50 LE1 171.4 0.0 47.9 27.9 -90.8 47.6 23.9 OK
Main T-bfl
I150x75x5x7-tfl 1 ◢3.0◣ 50 LE1 130.8 0.0 -66.8 17.3 -62.6 36.3 16.4 OK
1
◢3.0◣ 50 LE1 229.8 0.0 -84.7 -47.5 113.8 63.8 26.2 OK
Main T-bfl
I150x75x5x7-w 1 ◢3.0◣ 165 LE1 30.8 0.0 16.3 0.3 15.1 8.6 2.6 OK
1
◢3.0◣ 165 LE1 39.9 0.0 18.9 3.3 -20.0 11.1 3.2 OK
Main T-w 2 ST1-w 1 ◢3.0 91 LE1 353.3 0.3 -210.0 19.2 -162.9 98.1 24.7 OK
Main T-w 2 ST1-w 2 ◢3.0 90 LE1 353.9 0.8 -137.6 -27.4 186.2 98.3 26.5 OK
Main T-w 1 ST2-w 1 ◢3.0 90 LE1 353.9 0.7 -166.4 36.3 -176.6 98.3 25.3 OK
Main T-w 1 ST2-w 2 ◢3.0 91 LE1 353.4 0.4 -195.5 -26.5 167.9 98.2 23.1 OK

Design data

βw σw,Rd 0.9 σ
[-] [MPa] [MPa]
S 235 0.80 360.0 259.2

Detailed result for Main T-w 2 ST1-tfl 1

Butt welds are assumed as full penetration and are not checked. Their resistance is assumed the same as that of the welded
member -EN 1993 - 1 - 8 - 4.7.1.

Detailed result for Main T-w 1 ST2-tfl 1

Butt welds are assumed as full penetration and are not checked. Their resistance is assumed the same as that of the welded
member -EN 1993 - 1 - 8 - 4.7.1.

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Detailed result for Main T-bfl 1 I150x75x5x7-bfl 1

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
98.9 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
56.1 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 27.5 %

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
171.4 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
47.9 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 47.6 %

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Detailed result for Main T-bfl 1 I150x75x5x7-tfl 1

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
130.8 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
66.8 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 36.3 %

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
229.8 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
84.7 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1
γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 63.8 %

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Detailed result for Main T-bfl 1 I150x75x5x7-w 1

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
30.8 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
16.3 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 8.6 %

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​

⊥
​

∥ ​ ​
39.9 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
18.9 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 11.1 %

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Detailed result for Main T-w 2 ST1-w 1

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​ ​

⊥ ∥​ ​
353.3 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
210.0 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1
γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 98.1 %

Detailed result for Main T-w 2 ST1-w 2

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​ ​

⊥ ∥​ ​
353.9 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
137.6 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 98.3 %

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Detailed result for Main T-w 1 ST2-w 1

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​ ​

⊥ ∥​ ​
353.9 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
166.4 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1

γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 98.3 %

Detailed result for Main T-w 1 ST2-w 2

Weld resistance check (EN 1993-1-8 4.5.3.2)

σw,Rd = fu /(βw γM 2 ) = 2 + 3(τ 2 + τ 2 )]0.5 =

σw,Ed = [σ⊥
​ ​ ​ ​
360.0 MPa ≥ ​ ​

⊥ ∥​ ​
353.4 MPa

σ⊥,Rd = 0.9fu /γM 2 =

​ ​ ​
259.2 MPa ≥ ∣σ⊥ ∣ =
​
195.5 MPa

where:
fu = 360.0 MPa – Ultimate strength
​

βw = 0.80
​ – appropriate correlation factor taken from Table 4.1
γM 2 = 1.25 ​ – Safety factor

Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
​

w,Rd
; ​

​
​

σ⊥,Rd
​

​
​ )= 98.2 %

Buckling
Buckling analysis was not calculated.

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Bill of material

Manufacturing operations
Plates Welds Length
Name Shape Nr. Bolts Nr.
[mm] [mm] [mm]
CUT1 Double fillet: a = 3.0 265.1
Butt: a = 2.5 51.4
CUT2 Fillet: a = 3.0 90.5
Fillet: a = 3.0 89.8
Butt: a = 2.5 51.4
CUT3 Fillet: a = 3.0 89.8
Fillet: a = 3.0 90.5

Welds
Throat thickness Leg size Length
Type Material
[mm] [mm] [mm]
Double fillet S 235 3.0 4.2 265.1
Butt S 235 - - 102.8
Fillet S 235 3.0 4.2 180.3
Fillet S 235 3.0 4.2 180.3

Symbol explanation
Symbol Symbol explanation
εPl Strain
σEd Eq. stress
fy Yield strength
εlim Limit of plastic strain
σw,Ed Equivalent stress
σw,Rd Equivalent stress resistance
σ⏊ Perpendicular stress
τ|| Shear stress parallel to weld axis
τ⏊ Shear stress perpendicular to weld axis
0.9 σw,Rd Perpendicular stress resistance - 0.9*fu/γM2
βw Corelation factor EN 1993-1-8 tab. 4.1
Ut Utilization
Utc Weld capacity utilization

Code settings
Item Value Unit Reference
γM0 1.00 - EN 1993-1-1: 6.1
γM1 1.00 - EN 1993-1-1: 6.1
γM2 1.25 - EN 1993-1-1: 6.1
γM3 1.25 - EN 1993-1-8: 2.2

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Item Value Unit Reference

γC 1.50 - EN 1992-1-1: 2.4.2.4
γInst 1.20 - EN 1992-4: Table 4.1
Joint coefficient βj 0.67 - EN 1993-1-8: 6.2.5
Effective area - influence of mesh size 0.10 -
Friction coefficient - concrete 0.25 - EN 1993-1-8
Friction coefficient in slip-resistance 0.30 - EN 1993-1-8 tab 3.7
Limit plastic strain 0.05 - EN 1993-1-5
Weld stress evaluation Plastic redistribution
Detailing No
Distance between bolts [d] 2.20 - EN 1993-1-8: tab 3.3
Distance between bolts and edge [d] 1.20 - EN 1993-1-8: tab 3.3
Concrete breakout resistance check Both EN 1992-4: 7.2.1.4 and 7.2.2.5
Use calculated αb in bearing check. Yes EN 1993-1-8: tab 3.4
Cracked concrete Yes EN 1992-4
Local deformation check No CIDECT DG 1, 3 - 1.1
Local deformation limit 0.03 - CIDECT DG 1, 3 - 1.1
Geometrical nonlinearity (GMNA) Yes Analysis with large deformations for hollow section joints
Braced system No EN 1993-1-8: 5.2.2.5

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