aero hw

IGNOREProblem 2 starts on next page

Problem 3 HW2 Zachary Wingerter

length (in) Time (hr) strain2.004 0 02.01 100 0.0029940122.02 200 0.0079840322.03 400 0.012974052

2.045 1000 0.0204590822.075 2000 0.0354291422.135 4000 0.0653692612.193 6000 0.0943113772.23 7000 0.1127744512.3 8000 0.147704591

0"

0.02"

0.04"

0.06"

0.08"

0.1"

0.12"

0.14"

0.16"

0" 1000" 2000" 3000" 4000" 5000" 6000" 7000" 8000" 9000"

Strain'

Time'(hours)'

Strain'Vs.'Time''

Series1"

Problem 3 HW2 Zachary Wingerter

!

!

Zachary Raymond Wingerter Problem 7: I used MatLab to approach this problem. My code is (AE4718hw2scatterplot.mat is just a import of the data in excel): clear all; clc load AE4718hw2scatterplot.mat; fit=fit(X,Y,'poly7'); k = 50; %KIC in Mpa w1 = 2.5/1000:0.5/1000:25/1000; %from 2.5 to 25 (meters) in increments of .5 w = w1.'; %transpose sigma = 1500; %service stress in MPa a2 = (3/2000);% meters of crack length (internal) I = sqrt(pi); O = a2./w; Yprime = fit(O); %name for the curve-fitted function V = (I*sigma*Yprime).^(2/3); C = (k*w).^(2/3); U = C./V; %a which is the crack size UA = 2000*U; %the internal crack size is going to be twice that of U (which is defined as a) (meters) figure; plot(fit,X,Y); grid on; set(gca,'FontSize',13); title 'f(a/w) vs a/w'; xlabel 'a/w'; ylabel 'f(a/w)'; legend '-6000*(x^7)+(1.203e+04)*(x^6)-9307*(x^5)+3445*(x^4)-589.4*(x^3)+28.12*(x^2)+3.131*(x)+0.7686'; figure; plot(w,UA); grid on; title 'A vs w'; xlabel 'Width in meters'; ylabel 'Size of crack in meter'; %Written by Zachary Raymond Wingerter...

!

!

!

Problem 8 HW2 Zachary Wingerter

time (min) True Strain Eng Strain time (sec)0 0 0 02 0.024692613 0.025 1204 0.042101176 0.043 2406 0.062974799 0.065 3608 0.075107472 0.077999999 48010 0.088010877 0.092 60012 0.103458708 0.109 72014 0.113328685 0.12 84016 0.126632651 0.135 96018 0.142367241 0.153 108020 0.158711691 0.172 120022 0.176471143 0.193 132024 0.197210169 0.218 144026 0.227135573 0.255000001 156028 0.267734435 0.307 168030 0.313349819 0.368 1800

0"

0.05"

0.1"

0.15"

0.2"

0.25"

0.3"

0.35"

0.4"

0" 500" 1000" 1500" 2000"

Strain'Vs'*me'(Sec)'

Strain"Vs"1me"(Sec)"

Problem 8 HW2 Zachary Wingerter

Information gathered from Callister, Materials