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clear
//
//
//Given
//Variable declaration
Ds=20 //Diameter of steel rod in mm
Di_c=40 //Internal diameter of copper tube in mm
De_c=50 //External diameter of copper tube in mm
Es=200*10**3 //Youngs modulus of steel in N/sq.mm
Ec=100*10**3 //Youngs modulus of copper in N/sq.mm
alpha_s=12e-6 //Co-efficient of linear expansion of steel in per degree celsius
alpha_c=18e-6 //Co-efficient of linear expansion of copper in per degree celsius
T=50 //Rise of temperature in degree celsius
//Calculation
As=(%pi/4)*(Ds**2) //Area of steel rod in sq.mm
Ac=(%pi/4)*(De_c**2-Di_c**2) //Area of copper tube in sq.mm
sigmac=(((alpha_c-alpha_s)*T)/(((Ac/As)/Es)+(1/Ec))) //Compressive stress in copper
sigmas=(sigmac*(Ac/As)) //Tensile stress in steel
//Result
printf("\n Stress in copper = %0.3f N/mm^2",sigmac)
printf("\n Stress in steel = %0.3f N/mm^2",sigmas)
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