Design Codes

Table of contents

• General Information
  • Weld Evaluation Properties
  • Weld Stress
  • Validity of the result
• Eurocode 3
  • General Eurocode 3 recommendations
  • Material
  • Weld Design Resistance
  • Weld Design Stress
  • Eurocode 3 S-N Curves
  • Eurocode 9 S-N Curves
• AISC 360-16
  • Material Class
  • Weld Design Resistance
  • Weld Design Stress
• DNV-RP-C203
  • DNV-RP-C203 S-N Curves
• IIW Recommendations for fatigue
  • IIW S-N Curves - Nominal & Hot-Spot Method (Steel)
  • IIW S-N curves – Nominal & Hot-Spot Method (Aluminum)
  • IIW S-N curves – Effective Notch
• User
  • Weld Design Resistance
  • Weld Design Stress

General Information

The Eurocode 3 and AISC 360-16 implementation has been reworked and the interface in Fillet/Butt Weld Strength result is updated in the 2021R1 release. When selecting “Eurocode 3” (or “AISC 360-16”) in the Weld code field additional properties are displayed.

Weld Evaluation Properties

The used Engineering Data material name of the selected Add Fillet Weld is matched with the Material for the selected Weld Code.

(i) Weld Code

The available Weld Codes and default Weld Code are defined in the Weld Code Editor or the preference file.
Currently available codes are:

• Eurocode 3 (Default)
• Eurocode 3 Simplified
• AWS Groove Complete Penetration
• AWS Groove Partial Penetration
• AWS Fillet
• DNV Fatigue (2.3.4) (Used for Structural Stress Fatigue)

Weld Stress

The strength evaluation is based on the “Directional Method” where nominal stress components are derived from the weld section forces and moments based on the selected Result averaging to create a uniform or smooth stress distribution.

In addition to the stress components in the figure above (used by Eurocode 3) the additional components are also available to use.

• σ_b = M_Y/W bending stress (around weld axis), W = L·a²/6 (L: local weld length, a: throat thickness)
• σ_s = σ_﬩ + σ_b structural stress (normal plus bending stress)
• σ_tot = sqrt(σ_﬩² + τ_﬩²) total normal stress perpendicular to weld axis
• τ_tot = sqrt(τ_‖² + τ_﬩²) total shear stress in the plane
• σ_eqv = f(σ, τ) equivalent stress (function of stress components defined in the selected Weld code)
• Φ = Angle between weld total force, F_sum, and the red weld axis (in radians). Can be used to define f_Rd

For each weld stress component a corresponding Weld Design Resistance can be defined.

Validity of the result

Please pay attention to chapter 2 “Basis of design” in Eurocode 3.

It is the user’s responsibility to ensure that the FE-model, chosen method, input values and results obtained by this application is suitable for his/her intended purpose, e.g. to evaluate according to a selected joint category and to apply load safety factors according to use case, e.g. operational vs. ultimate limit.

For user defined weld codes, it is also the user’s responsibility to verify the validity of the method, e.g. by using test and verification models together with hand calculation.

Verification models for strength and fatigue are included in the Downloads section under “Demo and verification models” where the different codes and methods are tested and compared with the expected values. Solve the model and click Weld Report to get the verification report.

Eurocode 3

Reference to sections and equations from Eurocode 3 are shown in brackets or italics.

The “Eurocode 3” uses “Directional method” (4.5.3.2).

To acheive a uniform distribution of stress in the weld seam the Result averaging is set to “Floating” with a floating factor of “6”. This value is based on that the minimum length according to Eurocode 3 for a load carrying weld is 6·a (or 30 mm).

The “Eurocode 3 Simplified” uses “Simplified method for design resistance of fillet weld” (4.5.3.3).

In Eurocode 3 simplified it is stated that: “design resistance of a fillet weld may be assumed to be adequate if, at every point along its length, the resultant of all the forces per unit length transmitted by the weld satisfy the following criterion.”

To achieve a stress “at every point” in the weld seam the Result averaging is set to “Floating” with a floating factor of “2”.

General Eurocode 3 recommendations

• Weldable structural steels conforming to EN 1993-1-1.
• The plate thickness must be larger than or equal to 4 mm.
• The weld filler material yield and ultimate limit must be equal or better than the base material.
• Load carrying fillet welds must be longer than 30 mm or 6 times the throat thickness (a-value).
• Quality level C according to EN ISO 25817 is usually required.
• Lamellar tearing should be avoided (EN 1993-1-10), see Lamellar Strength result.
• The angle between the plates in a fillet weld must be in the range of 60° – 120°.

Material

The Material is defined in the Weld Settings Weld Code Editor or the preference file.

The values are from: “Table 4.1: Correlation factor β_w for fillet welds”.
The yield strength, f_y, and factor α_w is not used by Eurocode 3.
The partial safety factor γ_M2 is 1.25 for welds (Table 2.1).

Weld Design Resistance

Eurocode 3

• Equivalent stress resistance: f_eqv.Rd = f_u/(β_w·γ_M2)
• Normal stress resistance: f_n.Rd = 0.9·f_u/γ_M2
  

Eurocode 3 Simplified

• Equivalent stress resistance: f_eqv.Rd = (f_u/sqrt(3))/(β_w·γ_M2)

Weld Design Stress

The used Load Factor, γ_L, is to be defined and verified by the user depending on application and use case. If the applied loads in the model include the Load Factor then “Scale Factor Value = 1.0” should be used. If the loads are applied with nominal values then set the recommended γ_L as the “Scale Factor Value” in the weld result object.

Eurocode 3

• Design Equivalent stress, σ_eqv = sqrt(σ_﬩² + 3·(τ_﬩² + τ_‖²))
• Design Normal stress, σ_﬩ = abs(σ_﬩)

It is not directly stated if the absolute value or only the positive (tension) value of the normal stress should be considered in the equation above when calculating the weld utilization factor, Wuf. The default behavior for the app has always been to use Stress Type = “Absolute Stress”. The Stress Type used is now shown as a read-only property in the weld strength result details. The default value and read only status can med modified in the Weld Code Editor (or the preference file) for each weld code, see more in the section for “Wuf calculation”.

Eurocode 3 Simplified

• Design Equivalent stress, σ_eqv = sqrt(σ_﬩² + τ_﬩² + τ_‖²)

Eurocode 3 S-N Curves

All Eurocode 3 S-N curves uses N_cutoff = 1e8.

The Eurocode 3 S-N curves are defined in the FAT Class Editor or the preference file.

• Figure 7.1: Fatigue strength curves for direct stress ranges, Constant amplitude.
  

Slope m₂ = 1e6 is used from knee point at N_c = 5e5 up to N = 1e8.

• Figure 7.1: Fatigue strength curves for direct stress ranges, Variable amplitude.
  

• Figure 7.2: Fatigue strength curves for shear stress ranges.
  

Eurocode 9 S-N Curves

All Eurocode 9 S-N curves uses N_cutoff = 1e8.
The FAT Class base name is printed in between brackets.

• Table I.1: Fatigue strength curves for plain material. (EC9 Table I.1*)
  

• Table I.2: Fatigue strength curves for bolted joints. (EC9 Table I.2*)
  

• Table J.1/Figure J.1: Fatigue strength curves for plain members. (EC9 Table J.1*)
  

-Table J.3/Figure J.2 Fatigue strength curves for members with welded attachments, transverse weld toe. (EC9 Table J.3*)

• Table J.5/Figure J.3 Fatigue strength curves for members with longitudinal welds. (EC9 Table J.5*)
  

• Table J.7/Figure J.4 Fatigue strength curves for butt welded joints between members. (EC9 Table J.7*)
  

• Table J.9/Figure J.5 Fatigue strength curves for fillet welded joints between members. (EC9 Table J.9*)
  

• Table J.11/Figure J.6 Fatigue strength curves for crossing welds on built-up beams. (EC9 Table J.11*)
  

• Table J.13/Figure J.7 Fatigue strength curves for attachments on on built-up beams. (EC9 Table J.13*)
  

AISC 360-16

The method is based on AWS D1.1/AISC 360-16 Table J2.5 and defines the weld capacity for butt (groove) welds and fillet welds.
The base metal shear strength, is assumed to be 60% (α_v) of the ultimate strength, F_u.

The design strength, φ·R_n (LRFD) and the allowable strength, R_n/Ω (ASD) of welded joints shall be the lower value of the base material strength, R_n = F_nBM·A_BM (J2-2), and the weld material strength, R_n = F_nw·A_we (J2-3).

It is assumed that the weld nominal strength, F_nw, is equal or lower than the base material nominal strength, F_nBM. It is also assumed that the weld effective area, A_we is equal or lower than the base material cross section area, A_BM. With these assumptions it is only necessary to evaluate the weld. If this is not the case you also need to evaluate the base material.

Material Class

The Material defined in the Weld Settings Weld Code Editor or the preference file is used to select if “Allowable Strength Design” (ASD) or “Load and Resistance Factor Design” (LRFD) is used to calculate the design strength, F_Rd. The factors φ and Ω for each weld type are converted to β_w and γ_M2.

F_Rd = α_w·F_u/(β_w·γ_M2)

where

F_u = F_EXX = electrode minimum strength
α_w = Shear strength factor
β_w = Correlation factor (used to scale γ_M2 for “Grove Partial”)
γ_M2 = Joint resistance partial safety factor = Ω (ASD) or = 1/φ (LRFD)
γ_L = Load factor

The resulting design resistance differ between ASD and LRFD. In ASD all safety factors are applied on the material resulting in an “allowable strength” value and loads are taken with their nominal value. In LRDF material safety factors are applied on the material resulting in a “design strength” value in combination with a load factor, γ_L (similar to Eurocode 3). The LRDF method is designed to give the same Wuf as ASD by using γ_L = φ·Ω = 0.75·2.0 = 1.5.

Weld Design Resistance

Groove welds, Complete Joint Penetration
Strength of the joint is controlled by the base metal (φ = 0.75, Ω = 2.00).

• Tension and compression stress normal to weld axis:
  ASD: F_n.Rd = F_nw/Ω = F_nBM/2.0 = F_u/γ_M2
  LRFD: F_n.Rd = φ·F_nw = 0.75·F_nBM = F_u/γ_M2
• Shear stress:
  ASD: F_v.Rd = F_vw/Ω = F_vBM/2.0 = α_v·F_u/γ_M2
  LRFD: F_v.Rd = φ·F_vw = 0.75·F_vBM = α_v·F_u/γ_M2

Groove welds, Partial Joint Penetration

Strength of the joint is controlled by the weld metal.

• Tension (and compression) stress normal to weld axis (φ = 0.80, Ω = 1.88):
  ASD: F_n.Rd = F_nw/Ω = 0.60·F_EXX/1.88 = α_v·F_u/(β_w·γ_M2)
  LRFD: F_n.Rd = φ·F_nw = 0.80·0.60·F_EXX = α_v·F_u/(β_w·γ_M2)

• Shear stress (φ = 0.75, Ω = 2.00):
  ASD: F_v.Rd = F_vw/Ω = 0.60·F_EXX/2.00 = α_v·F_u/γ_M2
  LRFD: F_v.Rd = φ·F_vw = 0.75·0.60·F_EXX = α_v·_F_u/γ_M2

Fillet welds

For fillet welds loaded in-plane through the center of gravity the available strength is permitted to be determined accounting for a directional strength increase if strain compatibility of the various weld elements is considered.

• Equivalent stress through the center of gravity (φ = 0.75, Ω = 2.00).
  F_nw = 0.60·F_EXX·(1 + 0.5·sin^1.5Θ) (J2-5)
  where Θ = angle of loading measured from the weld longitudinal axis.

For each weld the available design resistance is evaluated as a function of the weld strength, F_u, and the load angle, Θ.
f(F_u, Θ) = F_u·(1 + 0.5·sin^1.5Θ)

ASD: F_eqv.Rd = F_nw/Ω = 0.60·f(F_u, Θ)/2.00 = α_v·f(F_u, Θ)/γ_M2
LRFD: F_eqv.Rd = φ·F_nw = 0.75·0.60·f(F_u, Θ) = α_v·f(F_u, Θ)/γ_M2

Weld Design Stress

The used Load Factor, γ_L, is to be defined and verified by the user depending on application and use case. If the applied loads in the model include the Load Factor then “Scale Factor Value = 1.0” should be used.

ASD: γ_L = 1.0, LRFD: γ_L = 1.5

• Design Normal stress, σ_﬩ = γ_L·abs(σ_﬩) ≤ F_n.Rd
• Design shear stress, τ_tot = γ_L·sqrt(τ_﬩² + τ_‖²) ≤ F_v.Rd
• Design Equivalent stress, σ_eqv = γ_L·sqrt(σ_﬩² + τ_﬩² + τ_‖²) ≤ F_eqv.Rd

The “Design Equivalent stress” is calculated as the vector sum of the weld section stresses.

DNV-RP-C203

DNV-RP-C203 S-N Curves

DNV does not specify a cutoff limit, N_cutoff = 1e10 cycles is used.
The FAT Class base name is printed in between brackets.

• DNV Table 2-1 S-N curves in air. (DNV T.2-1*)
  

• DNV Table 2-2 S-N curves in seawater with cathodic protection. (DNV T.2-2*)
  

• DNV Table 2-3 S-N curves in seawater for free corrosion. (DNV T.2-3*)
  

IIW Recommendations for fatigue

IIW does not specify a cutoff limit, N_cutoff = 1e10 cycles is used.
The FAT Class base name is printed in between brackets.

IIW S-N Curves - Nominal & Hot-Spot Method (Steel)

• Fatigue resistance S-N curves for steel, normal stress, very high cycles application, Fig 3.2. (IIW FAT* steel vari)
  

• Modified resistance S-N curves of steel for Palmgren-Miner summation, Fig 4.1. (IIW FAT* steel)
  

In the preference file there are also S-N curves defined for “Standard application” Fig. 3.1. These curves are deactivated by default but can be activated by the user by editing the preference file.

IIW S-N curves – Nominal & Hot-Spot Method (Aluminum)

• Fatigue resistance S-N curves for aluminum, normal stress, Fig 3.3. (IIW FAT* aluminum)
  

• Modified resistance S-N curves of aluminum for Palmgren-Miner summation, Fig 4.2. (IIW FAT* alu vari)
  

IIW S-N curves – Effective Notch

• Fatigue resistance S-N curves of steel, aluminum and magnesium. (IIW FAT* R1), (IIW FAT* R0.05)
  

User

In the Weld Strength preference file “weldStrengthPref.py” in the app installation folder there is an example for defining a “User” weld code.

For more information about defining a “User” code see the Weld Strength Code definition section.

Weld Design Resistance

• Equivalent stress resistance: f_eqv.Rd = f_u/γ_M2

Weld Design Stress

• Design Equivalent stress, σ_eqv = sqrt(σ_﬩² + 3·(τ_﬩² + τ_‖²))