#round 3 "Fillet Weld Sizing - EC3 Simplified Method 'This calculator checks the capacity of a fillet weld using the simplified method from EN 1993-1-8, Clause 4.5.3.3. It determines the design shear strength of the weld, the applied and resisting forces per unit length, and evaluates the utilization ratio. "References 'Ref 1: BS EN 1993-1-8:2005, Eurocode 3: Design of Steel Structures - Part 1-8: Design of Joints 'Ref 2: SCI Publication P363, 2017, Steel Building Design: Design Data, The Steel Construction Institute "Inputs '

Weld Geometry

' Weld leg length -'leg = ? {6}mm ' Effective weld length -'L_w = ? {200}mm '

Applied Loading

' Design force on weld group -'F_Ed = ? {80000}N '

Material Properties

' Ultimate tensile strength of weaker part -'f_u = ? {430}MPa 'Typical values: S235 = 360 MPa, S275 = 430 MPa, S355 = 510 MPa, S460 = 550 MPa '

Correlation Factor and Partial Safety Factor

' Correlation factor -'β_w = ? {0.85} '

Correlation factor values per EN 1993-1-8 Table 4.1:

S235: beta_w = 0.8

S275: beta_w = 0.85

S355: beta_w = 0.9

S420: beta_w = 1.0

S460: beta_w = 1.0

Ref: EN 1993-1-8, Table 4.1

' Partial safety factor for joints -'γ_M2 = ? {1.25} "Calculations '

'Click to expand/collapse detailed calculations '

Throat Thickness

a = leg*sqr(2)/2 ' Effective throat thickness -'a '

[Ref 1, Clause 4.5.2]

Effective Weld Area

A_w = a*L_w ' Effective weld area -'A_w '

Design Shear Strength of Weld

f_vw_d = f_u/(sqr(3)*β_w*γ_M2) ' Design shear strength -'f_vw_d '

[Ref 1, Eq. 4.4]

Design Resistance Per Unit Length

F_w_Rd = f_vw_d*a ' Design resistance per unit length -'F_w_Rd '

[Ref 1, Clause 4.5.3.3]

Applied Force Per Unit Length

F_w_Ed = F_Ed/L_w ' Applied force per unit length -'F_w_Ed '

Total Weld Capacity

P_w_Rd = f_vw_d*A_w ' Total design resistance of weld -'P_w_Rd '

Utilization

util = F_w_Ed/F_w_Rd ' Utilization ratio -'util '

[Ref 1, Clause 4.5.3.3]

"Results 'Throat Thickness: a 'Effective Weld Area: A_w 'Design Shear Strength: f_vw_d 'Design Resistance Per Unit Length: F_w_Rd 'Applied Force Per Unit Length: F_w_Ed 'Total Weld Capacity: P_w_Rd 'Utilization: util '

Assessment

#if util ≤ 1 '

PASS - Fillet Weld Capacity Check

Utilization = 'util' is less than or equal to 1.0

Applied force of 'F_Ed' is within the weld design resistance of 'P_w_Rd'

#else '

FAIL - Fillet Weld Capacity Check

Utilization = 'util' greater than 1.0

Applied force of 'F_Ed' exceeds the weld design resistance of 'P_w_Rd'

Increase weld leg size, increase weld length, or reduce applied load.

#end if "Conclusion 'A 'leg' fillet weld with effective length 'L_w' has been checked per EN 1993-1-8 Clause 4.5.3.3 using the simplified method. The effective throat thickness is 'a' giving a design shear strength of 'f_vw_d'. The total weld capacity is 'P_w_Rd' against an applied design force of 'F_Ed' resulting in a utilization of 'util'.

Fillet Weld Sizing

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Referenced Standards