From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 3289/CH8/EX8.1/Ex8_1.sce | 29 +++++++++++++++++++++++++++++ 3289/CH8/EX8.2/Ex8_2.sce | 43 +++++++++++++++++++++++++++++++++++++++++++ 3289/CH8/EX8.3/Ex8_3.sce | 23 +++++++++++++++++++++++ 3289/CH8/EX8.4/Ex8_4.sce | 34 ++++++++++++++++++++++++++++++++++ 3289/CH8/EX8.5/Ex8_5.sce | 48 ++++++++++++++++++++++++++++++++++++++++++++++++ 3289/CH8/EX8.6/Ex8_6.sce | 23 +++++++++++++++++++++++ 6 files changed, 200 insertions(+) create mode 100755 3289/CH8/EX8.1/Ex8_1.sce create mode 100755 3289/CH8/EX8.2/Ex8_2.sce create mode 100755 3289/CH8/EX8.3/Ex8_3.sce create mode 100755 3289/CH8/EX8.4/Ex8_4.sce create mode 100755 3289/CH8/EX8.5/Ex8_5.sce create mode 100755 3289/CH8/EX8.6/Ex8_6.sce (limited to '3289/CH8') diff --git a/3289/CH8/EX8.1/Ex8_1.sce b/3289/CH8/EX8.1/Ex8_1.sce new file mode 100755 index 000000000..c5999edcf --- /dev/null +++ b/3289/CH8/EX8.1/Ex8_1.sce @@ -0,0 +1,29 @@ +clc + +di=0.3 //m +de=0.4 //m +v=0.3 +sigmathetamax=250*10^6 //Pa +p0=0 +pi=0 + +//solution a: +a=0.15 +b=0.2 +r=a +//sigmathetamax=pi*((b^2+a^2)/(b^2-a^2)) +pi=sigmathetamax*((b^2-a^2)/(b^2+a^2)) +disp(pi,"in Pa is= ") + +//solution b: +r=a +//sigmathetamax=-2*p0*(b^2/(b^2-a^2)) +p0=-(-sigmathetamax)*((b^2-a^2)/(2*b^2)) +disp(p0,"in Pa is= ") + +//solution c: +u=((a^3*pi)/(b^2-a^2))*(0.7+1.3*(b^2/a^2)) +disp(u,"in per E meter is= ") +sigmaz=(pi*a^2-p0*b^2)/(b^2-a^2) +disp(sigmaz,"for longitudinal stress is") + diff --git a/3289/CH8/EX8.2/Ex8_2.sce b/3289/CH8/EX8.2/Ex8_2.sce new file mode 100755 index 000000000..62973ed4b --- /dev/null +++ b/3289/CH8/EX8.2/Ex8_2.sce @@ -0,0 +1,43 @@ +clc + +sigmayp=340 //MPa +tauyp=sigmayp/2 //MPa +disp(tauyp,"in MPa is=") +a=0.1 //m +b=0.15 //m +v=0.3 +//pi=4*p0 +//sigmatheta=(pi*(a^2+b^2)-2*p0*b^2)/(b^2-a^2) +//sigmatheta=1.7*pi + +//sloution a: maxi principal stress theory +sigmatheta=1.7 +pi=sigmayp/sigmatheta +disp(pi,"in MPa is= ") + +//sloution b: maxi shearing stress theory +//(sigmatheta-sigmar)/2=1.35*pi +pi=tauyp/1.35 +disp(pi,"in MPa is= ") + +//solution c: energy of distortion theory +sigmar=-1 +sigmayp1=sqrt(sigmatheta^2+sigmar^2-sigmatheta*sigmar)//*pi +disp(sigmayp1) +pi=sigmayp/sigmayp1 +disp(pi,"in MPa is=") + +//solution d: maxi principal strain theory +//(sigmatheta-v*sigmar)/E=sigmayp/E +pi=sigmayp/(sigmatheta-v*sigmar) +disp(pi,"in MPa is= ") + +//solution e: octahedral shearing stress theory: +pi=(sqrt(2)*sigmayp)/sqrt((sigmatheta-sigmar)^2+sigmar^2+(-sigmatheta)^2) +disp(pi,"in MPa is= ") + + + + + + diff --git a/3289/CH8/EX8.3/Ex8_3.sce b/3289/CH8/EX8.3/Ex8_3.sce new file mode 100755 index 000000000..cc50373ac --- /dev/null +++ b/3289/CH8/EX8.3/Ex8_3.sce @@ -0,0 +1,23 @@ +clc + +a=0.15 //m +b=0.2 //m +c=0.25 //m +E=200*10^9 //Pa +delta=0.0001 //m +140 //MPa + +p=((E*delta)/8)*(((b^2-a^2)*(c^2-b^2))/(2*(b^2)*(c^2-a^2))) +disp(p,"the contact pressure in Pa is= ") // textbook ans is wrong + +p=12.3*10^6 +sigmatheta=p*((b^2+c^2)/(c^2-b^2)) // where r=0.2 +disp(sigmatheta,"tangential stresses in the outer cylinder in Pa is= ") +sigmatheta1=(2*p*b^2)/(c^2-b^2) // where r=0.25 +disp(sigmatheta1,"tangential stresses in the outer cylinder in Pa is= ") +sigmatheta3=-(2*p*b^2)/(b^2-a^2) // where r=0.15 +disp(sigmatheta3,"tangential stresses in the inner cylinder in Pa is= ") +sigmatheta4=-p*((b^2+a^2)/(b^2-a^2)) // where r=0.2 +disp(sigmatheta4,"tangential stresses in the inner cylinder in Pa is= ") + + diff --git a/3289/CH8/EX8.4/Ex8_4.sce b/3289/CH8/EX8.4/Ex8_4.sce new file mode 100755 index 000000000..dbc16b730 --- /dev/null +++ b/3289/CH8/EX8.4/Ex8_4.sce @@ -0,0 +1,34 @@ +clc + +dn=0.1 //m +do=0.5 //m +t=0.08 //m +w=6900*(2*%pi/60) //rpm +row=7.8*10^3//Ns^2/m^4 +E=200*10^9 //Pa +v=0.3 +b=0.05 +c=0.25 + + +//solution a: +//ud=((0.05*3.3*0.7)*(0.0025+0.0625-(1.3/3.3)*0.0025+(1.3/0.7)*0.0625)*row*w^2)/(8*E) +ud=((0.05*3.3*0.7)*(b^2+c^2-(1.3/3.3)*b^2+(1.3/0.7)*c^2))/(8) +disp(ud,"radial displacement of the disk in meter is= ") + +//us=((0.05*0.7)*(3.3*0.0025-1.3*0.0025)*row*w^2)/(8*E) +us=((0.05*0.7)*(3.3*b^2-1.3*b^2))/(8) +disp(us,"radial displacement of the shaft in meter is= ") +delta=(ud-us)*row*w^2/E +disp(delta) + +//solution b: +//p=E*delta*(c^2-b^2)/(2*b*c^2) +p=E*delta*(c^2-b^2)/(2*b*c^2) +disp(p,"in Pa is= ") +sigmathetamax=p*(c^2+b^2)/(c^2-b^2) +disp(sigmathetamax,"in Pa is= ") + +//solution c: +sigmathetamax=3.3*(b^2+c^2-(1.9/3.3)*b^2+c^2)*row*w^2/8 +disp(sigmathetamax,"in Pa is= ") diff --git a/3289/CH8/EX8.5/Ex8_5.sce b/3289/CH8/EX8.5/Ex8_5.sce new file mode 100755 index 000000000..73f126afb --- /dev/null +++ b/3289/CH8/EX8.5/Ex8_5.sce @@ -0,0 +1,48 @@ +clc + +ti=0.075 //m +to=0.015//m +a=0.05//m +b=0.25//m +delta=0.05 //mm +w=6900*(2*%pi/60) //rpm +s=1 +row=7.8*10^3//Ns^2/m^4 +E=200 //GPa + +//solution a: +t1=ti*a^s +disp(t1,"t1 is=") +t1=to*b^2 +disp(t1,"t1 is=") +//(ti/to)=(t1*a^-s)/(t1*b^-s)=(b/a)^s +c=(b/a)^s + +(ti/to)==c +disp(ti/to,"ti/t0 is=") +m1=-0.5+sqrt((0.5)^2+(1+0.3*1)) +disp(m1,"m1 is=") +m2=-0.5-sqrt((0.5)^2+(1+0.3*1)) +disp(m2,"m2 is=") + +//sigmar=0=(c1/t1)*(0.05)^m1+(c2/t1)*(0.05)^(m2)-0.00176*row*w^2 // r=0.05 +//sigmar=0=(c1/t1)*(0.25)^m1+(c2/t1)*(0.25)^(m2)-0.0439*row*w^2 // r=0.25 + +c1=t1*0.12529*row*w^2 +disp(c1,"c1 is=") +c2=t1*-6.272*10^-5*row*w^2 +disp(c2,"c2 is=") + +r=0.05 +sigmar=(0.12529*r^0.745-6.272*10^-5*r^(-1.745)-0.70*r^2)//*row*w^2 +disp(sigmar,"sigmar is= ") + +sigmatheta=(0.09334*r^0.745+1.095*10^-4*r^(-1.745)-0.40*r^2)//*row*w^2 +disp(sigmatheta,"sigmatheta is= ") + +//solution b: +r=0.05 +//ur=(r*sigmatheta)/E +ur=(r*sigmatheta) +disp(ur,"ur is= ") + diff --git a/3289/CH8/EX8.6/Ex8_6.sce b/3289/CH8/EX8.6/Ex8_6.sce new file mode 100755 index 000000000..0fcdb75cd --- /dev/null +++ b/3289/CH8/EX8.6/Ex8_6.sce @@ -0,0 +1,23 @@ +clc + +b=0.25 //m +w=6900*(2*%pi/60) //rpm +t1=0.075 //m +t2=0.015 //m +row=7.8*10^3//Ns^2/m^4 +c1=t1 + +x=t2/t1 +disp(x) + +//(t2/t1)==(c1*exp(-(row*w^2/2*sigma)*b^2))/c1 +//exp(-(row*w^2/2*sigma)*b^2)=x +//log(x)=-(row*w^2*b^2/2*sigma) +y=2*log(x) +disp(y) +sigma=-(row*w^2*b^2)/y +disp(sigma,"in Pa is= ") + +//t=c1*exp(-row*(w^2/2*sigma)*r^2) +z=row*(w^2/(2*sigma)) +disp(z) -- cgit