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Diffstat (limited to '3772/CH3/EX3.17')
-rw-r--r-- | 3772/CH3/EX3.17/Ex3_17.sce | 45 |
1 files changed, 45 insertions, 0 deletions
diff --git a/3772/CH3/EX3.17/Ex3_17.sce b/3772/CH3/EX3.17/Ex3_17.sce new file mode 100644 index 000000000..3836285f6 --- /dev/null +++ b/3772/CH3/EX3.17/Ex3_17.sce @@ -0,0 +1,45 @@ +// Problem 3.17,Page no.65 + +clc;clear; +close; + +D=4.5 //cm //External Diameter of tube +d=3 //cm //Internal diameter of tube +t=3 //mm //thickness of tube +t_1=30 //degree celsius +t_2=180 //degree celsius //when metal heated +L=30 //cm //Original LEngth +alpha_s=1.08*10**-5 //Per degree celsius //coefficient of Linear expansion of steel tube +alpha_c=1.7*10**-5 //Per degree celsius //coefficient of Linear expansion of copper tube +E_s=210 //GPa //Modulus of Elasticity of steel +E_c=110 //GPA //Modulus of Elasticity of copper + +//Calculation + +//For Equilibrium of the system, Total tension in steel=Total tension in copper + +//sigma_s*A_s=sigma_c*A_c (equation 1) + +A_c=%pi*4**-1*d**2 //cm**2 //Area of copper +A_s=%pi*4**-1*(D**2-d**2) //cm**2 //Area of steel + +//simplifying equation 1 +//sigma_s=1.785*sigma_c + +T=t_2-t_1 //change in temperature + +//Actual expansion of steel=Actual expansion of copper +//alpha_s*T*L+sigma_s*E_s**-1*L=alpha_c*T*L-sigma_c*E_c**-1*L + +//After substituting values in above equation and simplifying we get + +sigma_c=(930*10**5*1.7591**-1)*10**-6 //MN/m**2 //Stress in copper +sigma_s=1.785*sigma_c //MN/m**2 //Stress in steel + +//Increase in Length of either component +L_2=(alpha_s*T+sigma_s*10**6*(E_s*10**9)**-1)*L + +//Result +printf("stress in copper bar is %.2f MN/m^2",sigma_c) +printf("\n stress in steel bar is %.2f MN/m^2",sigma_s) +printf("\n Increase in Length is %.3f cm",L_2) |