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Homework 2

# Homework 2 - David Beatus HW2 This stuff is directly from...

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David Beatus HW2 This stuff is directly from my matlab mfile Sumarry of assignment on the last page. %%% HW2 Interference Fits ri=1;ro=1.505;Ei=10^7;vi=1/3; Ri=1.5;Ro=2;Eo=30E6;vo=.3; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%A solve('30E6*(R-1.5)/(R*((2^2+R^2)/(2^2-R^2)+.3))+10^7*(R-1.505)/(R*((R^2+1^2)/ (R^2-1^2)-1/3))=0') %% interference Radius multiple solutions... one makes sense: R=1.5018217595202164144356322208887; %%%inches %% contact pressure P=Eo*(R-Ri)/(R*((Ro^2+R^2)/(Ro^2-R^2)+vo)) %% P = 9.3652e+03 psi %%hoop stress %%inner syms r Hoopin=(-P*ro^2-ri^2*ro^2*(P)/r^2)/(ro^2-ri^2) ezplot(Hoopin,[1 1.505]) Hoopstress_inner=(-P*ro^2-ri^2*ro^2*(P)/(1.505)^2)/(ro^2-ri^2) %% Hoopstress_inner = -2.4172e+04 psi %%outer Hoopout=(P*Ri^2-Ri^2*Ro^2*(-P)/r^2)/(Ro^2-Ri^2) %%%Hoopout = 2896079259130429/240518168576+2896079259130429/60129542144/r^2 ezplot(Hoopout,[1.5 2]) Hoopstress_outer=(P*Ri^2-Ri^2*Ro^2*(-P)/(1.5)^2)/(Ro^2-Ri^2) %% Hoopstress_outer = 3.3447e+04 psi

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%B %% switch alumninum(now outer) and steel(now inner) solve('10^7*(R-1.5)/(R*((2^2+R^2)/(2^2-R^2)+1/3))+30E6*(R-1.505)/(R*((R^2+1^2)/ (R^2-1^2)-.3))=0') %% Interference radius multiple solutions... one makes sense: R=1.5041899210369206678132232066285 ; %%inches %% contact pressure P=Ei*(R-Ri)/(R*((Ro^2+R^2)/(Ro^2-R^2)+vi)) %% P = 7.1340e+03 psi %%Hoop Stress %%inner Hoopin=(-P*ro^2-ri^2*ro^2*(P)/r^2)/(ro^2-ri^2) ezplot(Hoopin,[1 1.505])
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