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authorprashantsinalkar2018-02-03 11:01:52 +0530
committerprashantsinalkar2018-02-03 11:01:52 +0530
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+clear
+//
+
+//Initilization of Variables
+
+b_s=60 //mm //width of steel Bar
+t_s=10 //mm //thickness of steel Bar
+b_c=40 //mm //width of copper bar
+t_c=5 //mm //thickness of copper bar
+E_s=2*10**5 //N/mm**2 //Modulus of Elasticity of steel bar
+E_c=1*10**5 //N/mm**2 //Modulus of Elasticity of copper bar
+alpha_s=12*10**-6 //Per degree celsius //Temperature coeff of steel bar
+alpha_c=17*10**-6 //Per degree celsius //Temperature coeff of copper bar
+L=1000 //mm //Length of bar
+L_s=1000 //mm //Length of bar
+t=80 //degree celsius
+
+//Calculations
+
+A_s=b_s*t_s //Area of steel bar
+A_c=b_c*t_c //Area of copper bar
+
+//Let P_s be the tensile force in steel bar and P_c be the compressive force in copper bar
+//The equilibrium of forces gives
+//P_s=2*P_c
+
+//Let dell=dell_s+dell_b
+dell=(alpha_c-alpha_s)*t
+
+P_c=dell*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)**-1
+P_s=2*P_c
+
+//Stress in copper
+sigma_c=P_c*A_c**-1
+
+//Stress in steel
+sigma_s=P_s*A_s**-1
+
+//Change in Length of bar
+dell_2=alpha_s*t*L+P_s*L_s*(A_s*E_s)**-1
+
+//result
+printf("\n Stress in copper is %0.2f N/mm**2",sigma_c)
+printf("\n Stress in steel is %0.2f N/mm**2",sigma_s)
+printf("\n the change in Length is %0.2f mm",dell_2)