Eurocode 3 Classification Parameters (Non-Welded)

The parameters for non-welded calculations are listed in both the Assign Material tab and the My Material tab of the Assign Material dialog.

The defaults are with respect to material = steel.

The following are the parameters listed in the Assign Material tab.

Parameter Description
Size Effect ( Ks MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaado haaaa@37BB@ ) default = 1.0
Temperature Factor ( Kt MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaads haaaa@37BC@ ) default = 1.0
Surface Treatment ( Ksur MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaado hacaWG1bGaamOCaaaa@39AC@ ) default = 1.0
Safety Factor for Strength ( Mf MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamytaiaadA gaaaa@37B0@ ) default = 1.0
Loading Factor ( Ff MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOraiaadA gaaaa@37A9@ ) default = 1.0

The following are the parameters listed in the My Material tab.

Parameter Description
Detail Category for nominal ( Δσc MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCcaWGJbaaaa@3A24@ , Basic) Listed in SN tab (default = 160 N/mm2)
Detail Category for shear ( Δτc MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHepaDcaWGJbaaaa@3A26@ , Basic) Listed in SN tab (default = 100 N/mm2)
Number of cycles at Constant Amplitude Fatigue Limit – nominal ( NDσ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobGaamiraiabeo8aZbaa@3972@ ) Listed in SN tab (default = 5e6 cycles)
Number of cycles at Cut-Off Limit – nominal ( NLσ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobGaamitaiabeo8aZbaa@397A@ ) Listed in SN tab (default = 1e8 cycles)
Slope before Constant Amplitude Fatigue Limit – nominal ( mlσ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGTbGaamiBaiabeo8aZbaa@39B9@ ) Listed in SN tab (default = 3.0)
Slope before Cut-Off Limit – nominal ( m2σ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGTbGaaGOmaiabeo8aZbaa@3984@ ) Listed in SN tab (default = 5.0)
Number of cycles at which the reference value of the fatigue strength is defined. (greyed out) – nominal ( Ncσ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobGaam4yaiabeo8aZbaa@3991@ ) Listed in SN tab (default = 2e6 cycles)
Number of cycles at Cut-Off Limit – shear ( NLτ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobGaamitaiabes8a0baa@397C@ ) Listed in SN tab (default = 1e8 cycles)
Slope before Constant Amplitude Fatigue Limit – shear ( mlτ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGTbGaamiBaiabes8a0baa@39BB@ ) Listed in SN tab (default = 5.0 )
Number of cycles at which the reference value of the fatigue strength is defined – shear ( Ncτ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobGaam4yaiabes8a0baa@3993@ ) Listed in SN tab (default = 2e6 cycles)

Formulation

Query Stress σ x x MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHdpWCpaWaaSbaaSqaaiaadIhacaWG4baabeaaaaa@3A0B@ , σ y y MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHdpWCpaWaaSbaaSqaaiaadMhacaWG5baabeaaaaa@3A0D@ , τ xy MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqaHepaDpaWaaSbaaSqaaiaadIhacaWG5baabeaaaaa@3A0E@ (max and min across all loadcases)
Find the stress ranges (max – min) = ( Δ σ x x MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadIhacaWG4baabeaaaaa@3B71@ , Δ σ y y MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadMhacaWG5baabeaaaaa@3B73@ , and Δ τ xy MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadIhacaWG5baabeaaaaa@3B74@ )
Multiply Stress Range from Loading Factor Δσ MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCaaa@393C@
=Δσ· γ Ff MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyypa0Jaeu iLdqKaeq4WdmNaeS4JPFMaeq4SdC2aaSbaaSqaaiaadAeacaWGMbaa beaaaaa@401E@
Calculate Corrected Fatigue Strength Δ σ C MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadoeaaeqaaaaa@3A3F@ and Δ τ C MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadoeaaeqaaaaa@3A41@
Δ σ C = [ Δ σ C , B a s i c γ M f ] · k s · k t · k s u r MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq 4Wdm3aaSbaaSqaaiaadoeaaeqaaOGaeyypa0ZaamWaaeaadaWcaaqa aiabfs5aejabeo8aZnaaBaaaleaacaWGdbGaaiilaiaaysW7caWGcb GaamyyaiaadohacaWGPbGaam4yaaqabaaakeaacqaHZoWzdaWgaaWc baGaamytaiaadAgaaeqaaaaaaOGaay5waiaaw2faaiabl+y6NjaadU gacaWGZbGaeS4JPFMaam4AaiaadshacqWIpM+zcaWGRbGaam4Caiaa dwhacaWGYbaaaa@5A98@

Δ τ C =[ Δ τ C,Basic γ Mf ]·ks·kt·ksur MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq iXdq3aaSbaaSqaaiaadoeaaeqaaOGaeyypa0ZaamWaaeaadaWcaaqa aiabfs5aejabes8a0naaBaaaleaacaWGdbGaaiilaiaaysW7caWGcb GaamyyaiaadohacaWGPbGaam4yaaqabaaakeaacqaHZoWzdaWgaaWc baGaamytaiaadAgaaeqaaaaaaOGaay5waiaaw2faaiabl+y6NjaadU gacaWGZbGaeS4JPFMaam4AaiaadshacqWIpM+zcaWGRbGaam4Caiaa dwhacaWGYbaaaa@5A9C@

Calculate Constant Amplitude Fatigue Limit Δ σ D MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadseaaeqaaaaa@3A40@ and Δ τ D MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadseaaeqaaaaa@3A42@
Δ σ D =Δ σ C ( N cσ N Dσ ) 1 m 1σ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq 4Wdm3aaSbaaSqaaiaadseaaeqaaOGaeyypa0JaeuiLdqKaeq4Wdm3a aSbaaSqaaiaadoeaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaa WcbaGaam4yaiabeo8aZbqabaaakeaacaWGobWaaSbaaSqaaiaadsea cqaHdpWCaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaae aacaaIXaaabaGaamyBamaaBaaameaacaaIXaGaeq4Wdmhabeaaaaaa aaaa@4CC2@

Δ τ D = Inf MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq iXdq3aaSbaaSqaaiaadseaaeqaaOGaeyypa0Jaaeysaiaab6gacaqG Mbaaaa@3DCC@

Calculate Stress at Cut-off Limit Δ σ L MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadYeaaeqaaaaa@3A48@ and Δ τ L MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadYeaaeqaaaaa@3A4A@
Δ σ L = Δ σ D ( N D σ N L σ ) 1 m 2 σ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq 4Wdm3aaSbaaSqaaiaadYeaaeqaaOGaeyypa0JaeuiLdqKaeq4Wdm3a aSbaaSqaaiaadseaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaa WcbaGaamiraiabeo8aZbqabaaakeaacaWGobWaaSbaaSqaaiaadYea cqaHdpWCaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaae aacaaIXaaabaGaamyBamaaBaaameaacaaIYaGaeq4Wdmhabeaaaaaa aaaa@4CB5@

Δ τ L =Δ τ C ( N cτ N Lτ ) 1 m 1τ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq iXdq3aaSbaaSqaaiaadYeaaeqaaOGaeyypa0JaeuiLdqKaeqiXdq3a aSbaaSqaaiaadoeaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaa WcbaGaam4yaiabes8a0bqabaaakeaacaWGobWaaSbaaSqaaiaadYea cqaHepaDaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaae aacaaIXaaabaGaamyBamaaBaaameaacaaIXaGaeqiXdqhabeaaaaaa aaaa@4CDC@

Calculate Permissible Number of Cycles N perm MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gaaeqaaaaa @3ADA@
For Δσ If Δ σ (stress range) >Δ σ D, N perm = N Dσ ( Δσ Δ σ D ) m 1σ If Δ σ D >ΔσΔ σ L, N perm = N Dσ ( Δσ Δ σ D ) m 2σ If Δσ<Δ σ L, N perm =Inf ForΔτ If Δ τ (stress range) Δ τ C, N perm = N Cτ ( Δτ Δ τ C ) m 1τ If Δ τ (stress range) <Δ τ L, N perm =Inf MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaqGgb Gaae4BaiaabkhacaqGGaGaeuiLdqKaeq4WdmhabaGaaGjbVlaaysW7 caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caqGjbGaaeOzai aabccacqqHuoarcqaHdpWCdaWgaaWcbaGaaeikaiaabohacaqG0bGa aeOCaiaabwgacaqGZbGaae4CaiaabccacaqGYbGaaeyyaiaab6gaca qGNbGaaeyzaiaabMcaaeqaaOGaeyOpa4JaeuiLdqKaeq4Wdm3aaSba aSqaaiaadseacaGGSaaabeaaaOqaaiaaysW7caaMe8UaaGjbVlaays W7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjb VlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8 UaamOtamaaBaaaleaacaWGWbGaamyzaiaadkhacaWGTbaabeaakiab g2da9iaad6eadaWgaaWcbaGaamiraiaaygW7cqaHdpWCaeqaaOWaae WaaeaadaWcaaqaaiabfs5aejabeo8aZbqaaiabfs5aejabeo8aZnaa BaaaleaacaWGebaabeaaaaaakiaawIcacaGLPaaadaahaaWcbeqaai abgkHiTiaad2gadaWgaaadbaGaaGymaiabeo8aZbqabaaaaaGcbaGa aGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7ca qGjbGaaeOzaiaabccacqqHuoarcqaHdpWCdaWgaaWcbaGaamiraaqa baGccqGH+aGpcqqHuoarcqaHdpWCcqGHLjYScqqHuoarcqaHdpWCda WgaaWcbaGaamitaiaacYcaaeqaaaGcbaGaaGjbVlaaysW7caaMe8Ua aGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7ca aMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaa ysW7caWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gaaeqaaO Gaeyypa0JaamOtamaaBaaaleaacaWGebGaaGzaVlabeo8aZbqabaGc daqadaqaamaalaaabaGaeuiLdqKaeq4WdmhabaGaeuiLdqKaeq4Wdm 3aaSbaaSqaaiaadseaaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqa baGaeyOeI0IaamyBamaaBaaameaacaaIYaGaeq4Wdmhabeaaaaaake aacaaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjb VlaaysW7caqGjbGaaeOzaiaabccacqqHuoarcqaHdpWCcqGH8aapcq qHuoarcqaHdpWCdaWgaaWcbaGaamitaiaacYcaaeqaaaGcbaGaaGjb VlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8 UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7 caaMe8UaaGjbVlaaysW7caWGobWaaSbaaSqaaiaadchacaWGLbGaam OCaiaad2gaaeqaaOGaeyypa0Jaaeysaiaab6gacaqGMbaabaGaaeOr aiaab+gacaqGYbGaaGjbVlabfs5aejabes8a0bqaaiaaysW7caaMe8 UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaabMea caqGMbGaaeiiaiabfs5aejabes8a0naaBaaaleaacaqGOaGaae4Cai aabshacaqGYbGaaeyzaiaabohacaqGZbGaaeiiaiaabkhacaqGHbGa aeOBaiaabEgacaqGLbGaaeykaaqabaGccqGHLjYScqqHuoarcqaHep aDdaWgaaWcbaGaam4qaiaacYcaaeqaaaGcbaGaaGjbVlaaysW7caaM e8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaays W7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjb VlaaysW7caWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gaae qaaOGaeyypa0JaamOtamaaBaaaleaacaWGdbGaeqiXdqhabeaakmaa bmaabaWaaSaaaeaacqqHuoarcqaHepaDaeaacqqHuoarcqaHepaDda WgaaWcbaGaam4qaaqabaaaaaGccaGLOaGaayzkaaWaaWbaaSqabeaa cqGHsislcaWGTbWaaSbaaWqaaiaaigdacqaHepaDaeqaaaaaaOqaai aaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8Ua aeysaiaabAgacaqGGaGaeuiLdqKaeqiXdq3aaSbaaSqaaiaabIcaca qGZbGaaeiDaiaabkhacaqGLbGaae4CaiaabohacaqGGaGaaeOCaiaa bggacaqGUbGaae4zaiaabwgacaqGPaaabeaakiabgYda8iabfs5aej abes8a0naaBaaaleaacaWGmbGaaiilaaqabaaakeaacaaMe8UaaGjb VlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8 UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7 caaMe8UaaGjbVlaad6eadaWgaaWcbaGaamiCaiaadwgacaWGYbGaam yBaaqabaGccqGH9aqpcaqGjbGaaeOBaiaabAgaaaaa@DEA9@
Component Damage
D x = N N p e r m x < 1.0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBa aaleaacaWG4baabeaakiabg2da9maalaaabaGaamOtaaqaaiaad6ea daWgaaWcbaGaamiCaiaadwgacaWGYbGaamyBaiaaygW7caaMe8Uaam iEaaqabaaaaOGaeyipaWJaaGymaiaac6cacaaIWaaaaa@45EB@

D y = N N p e r m y < 1.0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBa aaleaacaWG5baabeaakiabg2da9maalaaabaGaamOtaaqaaiaad6ea daWgaaWcbaGaamiCaiaadwgacaWGYbGaamyBaiaaygW7caaMe8Uaam yEaaqabaaaaOGaeyipaWJaaGymaiaac6cacaaIWaaaaa@45ED@

D x y = N N p e r m x y < 1.0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBa aaleaacaWG4bGaamyEaaqabaGccqGH9aqpdaWcaaqaaiaad6eaaeaa caWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gacaaMb8UaaG jbVlaadIhacaWG5baabeaaaaGccqGH8aapcaaIXaGaaiOlaiaaicda aaa@47E7@

Equivalent Damage
D = max (   D δ , y + D δ , x y   ,   D δ , x + D δ , x y   ) MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaamiraiabg2da9iGac2gacaGGHbGaaiiEaiaacIcacaGGGcGaamir a8aadaqhaaWcbaWdbiabes7aKjaacYcacaWG5baapaqaa8qacaaIZa aaaOGaey4kaSIaamira8aadaqhaaWcbaWdbiabes7aKjaacYcacaWG 4bGaamyEaaWdaeaapeGaaGynaaaakiaacckacaGGSaGaaiiOaiaads eapaWaa0baaSqaa8qacqaH0oazcaGGSaGaamiEaaWdaeaapeGaaG4m aaaakiabgUcaRiaadseapaWaa0baaSqaa8qacqaH0oazcaGGSaGaam iEaiaadMhaa8aabaWdbiaaiwdaaaGccaGGGcGaaiykaaaa@5A3E@
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