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@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaadohaaaa@37BB@ ) default = 1.0
Temperature Factor (Kt MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaadshaaaa@37BC@ ) default = 1.0
Surface Treatment (Ksur MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4saiaadohacaWG1bGaamOCaaaa@39AC@ ) default = 1.0
Safety Factor for Strength (Mf MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamytaiaadAgaaaa@37B0@ ) default = 1.0
Loading Factor (Ff MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOraiaadAgaaaa@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@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCcaWGJbaaaa@3A24@ , Basic) Listed in SN tab (default = 160 N/mm2)
Detail Category for shear (Δτc MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHepaDcaWGJbaaaa@3A26@ , Basic) Listed in SN tab (default = 100 N/mm2)
Number of cycles at Constant Amplitude Fatigue Limit – nominal (NDσ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobGaamiraiabeo8aZbaa@3972@ ) Listed in SN tab (default = 5e6 cycles)
Number of cycles at Cut-Off Limit – nominal (NLσ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobGaamitaiabeo8aZbaa@397A@ ) Listed in SN tab (default = 1e8 cycles)
Slope before Constant Amplitude Fatigue Limit – nominal (mlσ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGTbGaamiBaiabeo8aZbaa@39B9@ ) Listed in SN tab (default = 3.0)
Slope before Cut-Off Limit – nominal (m2σ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGTbGaaGOmaiabeo8aZbaa@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@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobGaam4yaiabeo8aZbaa@3991@ ) Listed in SN tab (default = 2e6 cycles)
Number of cycles at Cut-Off Limit – shear (NLτ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobGaamitaiabes8a0baa@397C@ ) Listed in SN tab (default = 1e8 cycles)
Slope before Constant Amplitude Fatigue Limit – shear (mlτ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGTbGaamiBaiabes8a0baa@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@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobGaam4yaiabes8a0baa@3993@ ) Listed in SN tab (default = 2e6 cycles)

Formulation

Query Stress σxx MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqaHdpWCpaWaaSbaaSqaaiaadIhacaWG4baabeaaaaa@3A0B@ , σyy MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqaHdpWCpaWaaSbaaSqaaiaadMhacaWG5baabeaaaaa@3A0D@ , τxy MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqaHepaDpaWaaSbaaSqaaiaadIhacaWG5baabeaaaaa@3A0E@ (max and min across all loadcases)
Find the stress ranges (max – min) = ( Δσxx MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadIhacaWG4baabeaaaaa@3B71@ , Δσyy MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadMhacaWG5baabeaaaaa@3B73@ , and Δτxy MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadIhacaWG5baabeaaaaa@3B74@ )
Multiply Stress Range from Loading Factor Δσ MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCaaa@393C@
=Δσ·γFf MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyypa0JaeuiLdqKaeq4WdmNaeS4JPFMaeq4SdC2aaSbaaSqaaiaadAeacaWGMbaabeaaaaa@401E@
Calculate Corrected Fatigue Strength ΔσC MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadoeaaeqaaaaa@3A3F@ and ΔτC MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadoeaaeqaaaaa@3A41@
ΔσC=[ΔσC,BasicγMf]·ks·kt·ksur MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq4Wdm3aaSbaaSqaaiaadoeaaeqaaOGaeyypa0ZaamWaaeaadaWcaaqaaiabfs5aejabeo8aZnaaBaaaleaacaWGdbGaaiilaiaaysW7caWGcbGaamyyaiaadohacaWGPbGaam4yaaqabaaakeaacqaHZoWzdaWgaaWcbaGaamytaiaadAgaaeqaaaaaaOGaay5waiaaw2faaiabl+y6NjaadUgacaWGZbGaeS4JPFMaam4AaiaadshacqWIpM+zcaWGRbGaam4CaiaadwhacaWGYbaaaa@5A98@

ΔτC=[ΔτC,BasicγMf]·ks·kt·ksur MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeqiXdq3aaSbaaSqaaiaadoeaaeqaaOGaeyypa0ZaamWaaeaadaWcaaqaaiabfs5aejabes8a0naaBaaaleaacaWGdbGaaiilaiaaysW7caWGcbGaamyyaiaadohacaWGPbGaam4yaaqabaaakeaacqaHZoWzdaWgaaWcbaGaamytaiaadAgaaeqaaaaaaOGaay5waiaaw2faaiabl+y6NjaadUgacaWGZbGaeS4JPFMaam4AaiaadshacqWIpM+zcaWGRbGaam4CaiaadwhacaWGYbaaaa@5A9C@

Calculate Constant Amplitude Fatigue Limit ΔσD MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadseaaeqaaaaa@3A40@ and ΔτD MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadseaaeqaaaaa@3A42@
ΔσD=ΔσC(NcσNDσ)1m1σ MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq4Wdm3aaSbaaSqaaiaadseaaeqaaOGaeyypa0JaeuiLdqKaeq4Wdm3aaSbaaSqaaiaadoeaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaaWcbaGaam4yaiabeo8aZbqabaaakeaacaWGobWaaSbaaSqaaiaadseacqaHdpWCaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaaeaacaaIXaaabaGaamyBamaaBaaameaacaaIXaGaeq4Wdmhabeaaaaaaaaaa@4CC2@

ΔτD=Inf MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeqiXdq3aaSbaaSqaaiaadseaaeqaaOGaeyypa0Jaaeysaiaab6gacaqGMbaaaa@3DCC@

Calculate Stress at Cut-off Limit ΔσL MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHdpWCpaWaaSbaaSqaaiaadYeaaeqaaaaa@3A48@ and ΔτL MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacqqHuoarcqaHepaDpaWaaSbaaSqaaiaadYeaaeqaaaaa@3A4A@
ΔσL=ΔσD(NDσNLσ)1m2σ MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeq4Wdm3aaSbaaSqaaiaadYeaaeqaaOGaeyypa0JaeuiLdqKaeq4Wdm3aaSbaaSqaaiaadseaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaaWcbaGaamiraiabeo8aZbqabaaakeaacaWGobWaaSbaaSqaaiaadYeacqaHdpWCaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaaeaacaaIXaaabaGaamyBamaaBaaameaacaaIYaGaeq4Wdmhabeaaaaaaaaaa@4CB5@

ΔτL=ΔτC(NcτNLτ)1m1τ MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeuiLdqKaeqiXdq3aaSbaaSqaaiaadYeaaeqaaOGaeyypa0JaeuiLdqKaeqiXdq3aaSbaaSqaaiaadoeaaeqaaOWaaeWaaeaadaWcaaqaaiaad6eadaWgaaWcbaGaam4yaiabes8a0bqabaaakeaacaWGobWaaSbaaSqaaiaadYeacqaHepaDaeqaaaaaaOGaayjkaiaawMcaamaaCaaaleqabaWaaSaaaeaacaaIXaaabaGaamyBamaaBaaameaacaaIXaGaeqiXdqhabeaaaaaaaaaa@4CDC@

Calculate Permissible Number of Cycles Nperm MathType@MTEF@5@5@+=feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8qacaWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gaaeqaaaaa@3ADA@
For ΔσIf Δσ(stress range)>ΔσD,Nperm=NDσ(ΔσΔσD)m1σIf ΔσD>ΔσΔσL,Nperm=NDσ(ΔσΔσD)m2σIf Δσ<ΔσL,Nperm=InfForΔτIf Δτ(stress range)ΔτC,Nperm=NCτ(ΔτΔτC)m1τIf Δτ(stress range)<ΔτL,Nperm=Inf MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@DEA9@
Component Damage
Dx=NNpermx<1.0 MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBaaaleaacaWG4baabeaakiabg2da9maalaaabaGaamOtaaqaaiaad6eadaWgaaWcbaGaamiCaiaadwgacaWGYbGaamyBaiaaygW7caaMe8UaamiEaaqabaaaaOGaeyipaWJaaGymaiaac6cacaaIWaaaaa@45EB@

Dy=NNpermy<1.0 MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBaaaleaacaWG5baabeaakiabg2da9maalaaabaGaamOtaaqaaiaad6eadaWgaaWcbaGaamiCaiaadwgacaWGYbGaamyBaiaaygW7caaMe8UaamyEaaqabaaaaOGaeyipaWJaaGymaiaac6cacaaIWaaaaa@45ED@

Dxy=NNpermxy<1.0 MathType@MTEF@5@5@+=feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBaaaleaacaWG4bGaamyEaaqabaGccqGH9aqpdaWcaaqaaiaad6eaaeaacaWGobWaaSbaaSqaaiaadchacaWGLbGaamOCaiaad2gacaaMb8UaaGjbVlaadIhacaWG5baabeaaaaGccqGH8aapcaaIXaGaaiOlaiaaicdaaaa@47E7@

Equivalent Damage
D=max( Dδ,y+Dδ,xy , Dδ,x+Dδ,xy ) MathType@MTEF@5@5@+=feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaapeGaamiraiabg2da9iGac2gacaGGHbGaaiiEaiaacIcacaGGGcGaamira8aadaqhaaWcbaWdbiabes7aKjaacYcacaWG5baapaqaa8qacaaIZaaaaOGaey4kaSIaamira8aadaqhaaWcbaWdbiabes7aKjaacYcacaWG4bGaamyEaaWdaeaapeGaaGynaaaakiaacckacaGGSaGaaiiOaiaadseapaWaa0baaSqaa8qacqaH0oazcaGGSaGaamiEaaWdaeaapeGaaG4maaaakiabgUcaRiaadseapaWaa0baaSqaa8qacqaH0oazcaGGSaGaamiEaiaadMhaa8aabaWdbiaaiwdaaaGccaGGGcGaaiykaaaa@5A3E@
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