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author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3772/CH3/EX3.18 | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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-rw-r--r-- | 3772/CH3/EX3.18/Ex3_18.sce | 35 |
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diff --git a/3772/CH3/EX3.18/Ex3_18.sce b/3772/CH3/EX3.18/Ex3_18.sce new file mode 100644 index 000000000..c0b8e2821 --- /dev/null +++ b/3772/CH3/EX3.18/Ex3_18.sce @@ -0,0 +1,35 @@ +// Problem 3.18,Page no.66 + +clc;clear; +close; + +t_1=15 //degree celsius //temperature of steel bar +t_2=315 //degree celsius //raised temperature +E_s=210 //GPa //Modulus of Elasticity of steel bar +E_c=100 //GPa //Modulus of Elasticity of copper bar +dell_L=0.15 //cm //Increase in Length of bar + +//Calculation + +//For Equilibrium of the system, Tension in steel bar = Tension in copper bar +//sigma_s*A_s = sigma_c*2*A_c +//sigma_S=2*sigma_c + +//Actual expansion of steel = Actual expansion of copper +//L*alpha_s*T+sigma_s*E_s**-1*L = L*alpha_c*T-sigma_c*E_c**-1*L (Equation 1) + +T=t_2-t_1 //per degree celsius //change in temperature + +//After substituting values in above equation and simplifying we get +sigma_c=(1650*10**5*1.9524**-1)*10**-6 //MN/m**2 //Stress in copper +sigma_s=2*sigma_c //MN/m**2 //Stress in steel + +//Actual Expansion of steel bar +//L*alpha_s*T+sigma_s*E_s**-1*L = L*alpha_c*T-sigma_c*E_c**-1*L +//After substituting values in above equation and simplifying we get +L=0.15*10**-2*0.0044048**-1 //m + +//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 Original Length of bar is %.2f m",L) |