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Diffstat (limited to '3864/CH7/EX7.23/Ex7_23.sce')
-rw-r--r-- | 3864/CH7/EX7.23/Ex7_23.sce | 47 |
1 files changed, 47 insertions, 0 deletions
diff --git a/3864/CH7/EX7.23/Ex7_23.sce b/3864/CH7/EX7.23/Ex7_23.sce new file mode 100644 index 000000000..0520404bd --- /dev/null +++ b/3864/CH7/EX7.23/Ex7_23.sce @@ -0,0 +1,47 @@ +clear +// +// + +//Initilization of Variables + +//Strains +e_A=600 //microns +e_B=-450 //microns +e_C=100 //micron +E=2*10**5 //N/mm**2 //Modulus of Elasticity +mu=0.3 //Poissons ratio +theta=240 + +//Calculations + +e_x=600 +e_A=600 + +//e_A=(e_x+e_y)*2**-1+(e_x-e_y)*2**-1*cos(theta)+rho_x_y*2**-1*sin(theta) +//After sub values and further simplifying we get +//-450=(e_x+e_y)*2**-1-(e_x-e_y)*2**-1*(0.5)-0.866*2**-1*rho_x_y .....................(1) + +//e_C=(e_x+e_y)*2**-1+(e_x-e_y)*2**-1*cos(2*theta)+rho_x_y*2**-1*sin(2*theta) +//After sub values and further simplifying we get +//100=(e_x+e_y)*2**-1-0.5*(e_x-e_y)*2**-1*(0.5)-0.866*2**-1*rho_x_y .....................(2) + +//Adding Equation 1 and 2 we get equations as +//-350=e_x+e_y-(e_x-e_y)*2**-1 ...............(3) +//Further simplifying we get + +e_y=(-700-e_x)*3**-1 //micron + +rho_x_y=(e_C-(e_x+e_y)*2**-1-(e_x-e_y)*2**-1*cos(2*theta*%pi*180**-1))*(sin(2*theta*%pi*180**-1))**-1*2 //micron + +//Principal strains +e1=(e_x+e_y)*2**-1-(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 //microns +e2=(e_x+e_y)*2**-1+(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 //microns + +//Principal Stresses +sigma1=E*(e1+mu*e2)*(1-mu**2)**-1*10**-6 //N/mm**2 +sigma2=E*(e2+mu*e1)*(1-mu**2)**-1*10**-6 //N/mm**2 + + +//Result +printf("\n Principal Stresses are:sigma1 %0.2f N/mm**2",sigma1) +printf("\n :sigma2 %0.2f N/mm**2",sigma2) |