2.BP1 T+H
2.BP1 T+H
2.BP1 T+H
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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, C20/25
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Design
Name Base plate connection (Tension and Horizontal Force)
Description
Analysis Stress, strain/ simplified loading
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Cross-sections
Name Material
13 - I100x55x4.5x6.5(I100) S 235
Cross-sections
Name Material Drawing
13 - I100x55x4.5x6.5(I100) S 235
Anchors
Diameter fu Gross area
Name Bolt assembly
[mm] [MPa] [mm2]
M12 4.8 M12 4.8 12 400.0 113
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Foundation block
Item Value Unit
CB 1
Dimensions 200 x 200 mm
Depth 750 mm
Anchor M12 4.8
Anchoring length 150 mm
Shear force transfer Anchors
Check
Summary
Name Value Status
Analysis 100.0% OK
Plates 0.0 < 5.0% OK
Anchors 93.4 < 100% OK
Welds 10.4 < 100% OK
Concrete block Not calculated
Buckling Not calculated
Plates
Thickness σEd εPl σcEd
Name Loads Status
[mm] [MPa] [%] [MPa]
COL-bfl 1 6.5 LE1 40.0 0.0 0.0 OK
COL-tfl 1 6.5 LE1 27.8 0.0 0.0 OK
COL-w 1 4.5 LE1 28.5 0.0 0.0 OK
BP1 10.0 LE1 42.7 0.0 0.0 OK
Design data
fy εlim
Material
[MPa] [%]
S 235 235.0 5.0
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Anchors
NEd VEd NRd,c VRd,cp Utt Uts Utts
Shape Item Loads Status
[kN] [kN] [kN] [kN] [%] [%] [%]
Design data
NRd,s VRd,s
Grade
[kN] [kN]
M12 4.8 - 1 19.1 16.2
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γM s
= 19.1 kN ≥ NEd =
3.7 kN
NRk,s = c ⋅ As ⋅ fuk =
28.7 kN
Where:
c = 0.85 – reduction factor for cut thread
As = 84 mm2
– tensile stress area
fuk = 400.0 MPa – minimum tensile strength of the bolt
γM s = 1.2 ⋅ ffuk
yk
≥ 1.4 , where:
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NRk,c
NRd,c =
γM c
0 Ac,N
NRk,c = NRk,c
⋅
A0c,N
⋅ ψs,N ⋅ ψre,N ⋅ ψec,N ⋅ ψM ,N =
14.1 kN
Where:
NEd,g = 7.3 kN – sum of tension forces of anchors with common concrete breakout cone area
0
NRk,c = 12.2 kN – characteristic strength of a fastener, remote from the effects of adjacent fasteners or edges of the
concrete member
0 = k1 ⋅ fc′ ⋅ h1.5
NRk,c ef , where:
ca,max = 75 mm – maximum distance from the anchor to one of the three closest edges
Ac,N = 34799 mm2 – concrete breakout cone area for group of anchors
A0c,N = 22500 mm2 – concrete breakout cone area for single anchor not influenced by edges
ψs,N = 1.00 – parameter related to the distribution of stresses in the concrete due to the proximity of the fastener to an
c
ψs,N = 0.7 + 0.3 ⋅ 1.5⋅h
ef
≤ 1 , where:
ψec,N = 1.00 – modification factor for anchor groups loaded eccentrically in tension:
ψecx,N = 2⋅e1 x,N = 1.00 – modification factor that depends on eccentricity in x-direction
1+
3⋅hef
ψecy,N = 2⋅e1 y,N = 1.00 – modification factor that depends on eccentricity in y-direction
1+
3⋅hef
ψM ,N = 1.00 – parameter accounting for the effect of a compression force between the fixture and concrete; this
parameter is equal to 1 if c < 1.5hef or the ratio of the compressive force (including the compression due
to bending) to the sum of tensile forces in anchors is smaller than 0.8
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2⋅z
ψM ,N = 2 − 3⋅hef
≥ 1 , where:
γM s
0
VRk,s = k7 ⋅ VRk,s =
20.2 kN
Where:
k7 = 1.00 – coefficient for anchor steel ductility
k7 = {
0.8, A < 0.08
, where:
1.0, A ≥ 0.08
0
VRk,s = 20.2 kN – the characteristic shear strength
0
VRk,s = k6 ⋅ As ⋅ fuk , where:
VRk,cp
VRd,cp =
γM c
VRk,cp = k8 ⋅ NRk,c =
14.1 kN
Where:
k8 = 1.00 – factor taking into account fastener embedment depth
NRk,c = 14.1 kN – characteristic concrete cone strength for a single fastener or fastener in a group
Interaction of tensile and shear forces in steel (EN 1992-4 - Table 7.3)
2 2
( NNRd,s
Ed
) + ( VVRd,s
Ed
) =
0.05 ≤ 1.0
Where:
NEd = 3.7 kN – design tension force
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Interaction of tensile and shear forces in concrete (EN 1992-4 - Table 7.3)
( NNRd,i
Ed
)1.5 + ( VVRd,i
Ed
)1.5 =
0.90 ≤ 1.0
Where:
NEd
– the largest utilization value for tension failure modes
NRd,i
VEd
– the largest utilization value for shear failure modes
VRd,i
NEd,g
NRd,c
= 93% – concrete breakout failure of anchor in tension
NEd
NRd,p
= 0% – concrete pullout failure
NEd
NRd,cb
= 0% – concrete blowout failure
VEd
VRd,c
= 0% – concrete edge failure
VEd
VRd,cb
= 0% – concrete pryout failure
γM s
NRk,s = c ⋅ As ⋅ fuk =
28.7 kN
Where:
c = 0.85 – reduction factor for cut thread
As = 84 mm2
– tensile stress area
fuk = 400.0 MPa – minimum tensile strength of the bolt
γM s = 1.2 ⋅ ffuk
yk
≥ 1.4 , where:
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NRk,c
NRd,c =
γM c
0 Ac,N
NRk,c = NRk,c
⋅
A0c,N
⋅ ψs,N ⋅ ψre,N ⋅ ψec,N ⋅ ψM ,N =
14.1 kN
Where:
NEd,g = 7.3 kN – sum of tension forces of anchors with common concrete breakout cone area
0
NRk,c = 12.2 kN – characteristic strength of a fastener, remote from the effects of adjacent fasteners or edges of the
concrete member
0 = k1 ⋅ fc′ ⋅ h1.5
NRk,c ef , where:
ca,max = 75 mm – maximum distance from the anchor to one of the three closest edges
Ac,N = 34799 mm2 – concrete breakout cone area for group of anchors
A0c,N = 22500 mm2 – concrete breakout cone area for single anchor not influenced by edges
ψs,N = 1.00 – parameter related to the distribution of stresses in the concrete due to the proximity of the fastener to an
c
ψs,N = 0.7 + 0.3 ⋅ 1.5⋅h
ef
≤ 1 , where:
ψec,N = 1.00 – modification factor for anchor groups loaded eccentrically in tension:
ψecx,N = 2⋅e1 x,N = 1.00 – modification factor that depends on eccentricity in x-direction
1+
3⋅hef
ψecy,N = 2⋅e1 y,N = 1.00 – modification factor that depends on eccentricity in y-direction
1+
3⋅hef
ψM ,N = 1.00 – parameter accounting for the effect of a compression force between the fixture and concrete; this
parameter is equal to 1 if c < 1.5hef or the ratio of the compressive force (including the compression due
to bending) to the sum of tensile forces in anchors is smaller than 0.8
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2⋅z
ψM ,N = 2 − 3⋅hef
≥ 1 , where:
γM s
0
VRk,s = k7 ⋅ VRk,s =
20.2 kN
Where:
k7 = 1.00 – coefficient for anchor steel ductility
k7 = {
0.8, A < 0.08
, where:
1.0, A ≥ 0.08
0
VRk,s = 20.2 kN – the characteristic shear strength
0
VRk,s = k6 ⋅ As ⋅ fuk , where:
VRk,cp
VRd,cp =
γM c
VRk,cp = k8 ⋅ NRk,c =
14.1 kN
Where:
k8 = 1.00 – factor taking into account fastener embedment depth
NRk,c = 14.1 kN – characteristic concrete cone strength for a single fastener or fastener in a group
Interaction of tensile and shear forces in steel (EN 1992-4 - Table 7.3)
2 2
( NNRd,s
Ed
) + ( VVRd,s
Ed
) =
0.05 ≤ 1.0
Where:
NEd = 3.7 kN – design tension force
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Interaction of tensile and shear forces in concrete (EN 1992-4 - Table 7.3)
( NNRd,i
Ed
)1.5 + ( VVRd,i
Ed
)1.5 =
0.90 ≤ 1.0
Where:
NEd
– the largest utilization value for tension failure modes
NRd,i
VEd
– the largest utilization value for shear failure modes
VRd,i
NEd,g
NRd,c
= 93% – concrete breakout failure of anchor in tension
NEd
NRd,p
= 0% – concrete pullout failure
NEd
NRd,cb
= 0% – concrete blowout failure
VEd
VRd,c
= 0% – concrete edge failure
VEd
VRd,cb
= 0% – concrete pryout failure
Design data
βw σw,Rd 0.9 σ
[-] [MPa] [MPa]
S 235 0.80 360.0 259.2
where:
fu = 360.0 MPa – Ultimate strength
Stress utilization
σ ∣σ⊥ ∣
Ut = max( σw,Ed ; )= 10.4 %
w,Rd
σ⊥,Rd
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⊥ ∥
22.7 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
)= 6.3 %
⊥ ∥
23.1 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
)= 6.4 %
⊥ ∥
30.8 MPa
where:
fu = 360.0 MPa – Ultimate strength
βw = 0.80
– appropriate correlation factor taken from Table 4.1
Stress utilization
∣σ⊥ ∣
Ut = max( σσw,Ed
w,Rd
;
σ⊥,Rd
)= 8.6 %
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⊥
∥
26.6 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
)= 7.4 %
⊥
∥
26.3 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
)= 7.3 %
Buckling
Buckling analysis was not calculated.
Bill of material
Manufacturing operations
Plates Welds Length
Name Shape Nr. Bolts Nr.
[mm] [mm] [mm]
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Welds
Throat thickness Leg size Length
Type Material
[mm] [mm] [mm]
Double fillet S 235 3.0 4.2 203.5
Anchors
Length Drill length
Name Count
[mm] [mm]
M12 4.8 160 150 2
Drawing
BP1
P10.0x200-200 (S 235)
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Symbol explanation
Symbol Symbol explanation
εPl Strain
σEd Eq. stress
fy Yield strength
εlim Limit of plastic strain
NEd Tension force
VEd Resultant of shear forces Vy, Vz in bolt
NRd,c Concrete cone breakout resistance in tension - EN1992-4 - Cl. 7.2.1.4
VRd,cp Concrete pryout resistance - EN1992-4 - Cl. 7.2.2.4
Utt Utilization in tension
Uts Utilization in shear
Utts Utilization in tension and shear EN 1993-1-8 table 3.4
NRd,s Design tensile resistance of a fastener in case of steel failure - EN1992-4 - Cl. 7.2.1.3
VRd,s Design shear resistance in case of steel failure - EN1992-4 - Cl.7.2.2.3.1
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
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
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