Project II

Team 9Philippe DelelisFlorian Brouet이성혁

DATA 1 DATA 2 DATA 3

µ1= 285.095 µ2= 297.962 µ3= 262.552

σ = 188.796 σ = 148.135 σ = 178.233

Stress StressStrentgh

Because DATA 2 > DATA 1 > DATA 3

Data 1&2 : Project 1 Results

Data set 1 (N = 21)Normal Distributionµ = 288.696σ = 217.391

Data set 2 (N = 26)Weibull Distributionm = 1.9055ξ = 340.52

Weibull

Normal

Data 1&2 : Project 2 Analysis

Use of the equation 9.1.1

Strength : Weibull Distribution

Stress : Normal Distribution

x=[0:1:1000];Fsig=0.5*(1+erf((x-288.696)/(217.391*sqrt(2))));Fs=1-exp(-(x/340.52).^1.9055);fsig=diff(Fsig);fs=diff(Fs);plot([fs, fsig],'r‘)

Data 1&2 : Using Matlab

StressStrength

R= 0.5091

Data 1&2 :

Data 1&2 : Original Graph

• Pf = 0.4153• R = 0.5847

Data 1&2 : Triangle Method

• Pf = 0.4486• R = 0.5514

Data 1&2 : Upper Limit

• Pf = 0.4548• R = 0.5452

Data 1&2 : Lower Limit

• Pf = 0.4424• R = 0.5576

Conclusion Data 1&2

Matlab values

Reliability Calculation Method

Triangle Upper Lower

Probability of Failure (Pf)

49.09% 44.86% 45.48% 44.24%

Reliability (R) 50.91% 55.14% 54.52% 55.76%

R = 0.5091

Data 2&3 : Project 1 Results

Data set 2 (N = 26)Weibull Distributionm = 1.9055ξ = 340.52

Data set 3 (N = 29)Normal Distributionµ = 262.78σ = 180.17

Weibull

Normal

x=[0:1:1000];Fsig=0.5*(1+erf((x-262.78)/(180.17*sqrt(2))));Fs=1-exp(-(x/340.52).^1.9055);fsig=diff(Fsig);fs=diff(Fs);plot([fs, fsig],'r‘)

Data 2&3 : Using Matlab

StressStrength

R= 0.5497

Data 2&3 :

Data 2&3 : Original Graph…

• Pf = 0.4298• R = 0.5702

Data 2&3 : Triangle Method

• Pf = 0.4586• R = 0.5414

Data 2&3 : Upper Limit

• Pf = 0.4611• R = 0.5389

Data 2&3 : Lower Limit

• Pf = 0.4561• R = 0.5439

Conclusion Data 2&3

Matlab values

Reliability Calculation Method

Triangle Upper Lower

Probability of Failure (Pf)

45.03% 42.98% 46.11% 45.61%

Reliability (R) 54.97% 57.02% 53.89% 54.39%

R = 0.5389