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Diffstat (limited to '3705/CH8/EX8.14/Ex8_14.sce')
-rw-r--r-- | 3705/CH8/EX8.14/Ex8_14.sce | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/3705/CH8/EX8.14/Ex8_14.sce b/3705/CH8/EX8.14/Ex8_14.sce new file mode 100644 index 000000000..5383e59be --- /dev/null +++ b/3705/CH8/EX8.14/Ex8_14.sce @@ -0,0 +1,29 @@ + +clear//
+
+//Variable Declaration
+e_a=100*10**-6 //Strain
+e_b=300*10**-6 //Strain
+e_c=-200*10**-6 //Strain
+E=180 //Youngs Modulus in GPa
+v=0.28 //Poissons Ratio
+
+//Calculations
+y_xy=(e_b-(e_a+e_c)*0.5) //Strain in xy
+e_bar=(e_a+e_c)*0.5 //Strain
+R_e=sqrt(y_xy**2+(150*10**-6)**2) //Resultant Strain
+
+//Corresponding Parameters from Mohrs Diagram
+sigma_bar=(E/(1-v))*e_bar*10**3 //Stress in MPa
+R_sigma=(E/(1+v))*R_e*10**3 //Resultant Stress in MPa
+
+//Principal Stresses
+sigma1=sigma_bar+R_sigma //MPa
+sigma2=sigma_bar-R_sigma //MPa
+
+theta=atan(y_xy/(150*10**-6))*180*%pi**-1*0.5 //Degrees
+
+//Result
+printf("\n The Principal Stresses are as follows")
+printf("\n Sigma1= %0.1f MPa and Sigma2= %0.2f MPa",sigma1,sigma2)
+printf("\n The plane orientation is %0.2f degrees",theta)
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