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clear
//
//Given
//Variable declaration
Dg=20 //Diameter of gun metal rod in mm
Di_s=25 //Internal diameter of steel in mm
De_s=30 //External diameter of steel in mm
T1=30 //Temperature in degree celsius
T2=140 //Temperature in degree celsius
Es=2.1e5 //Youngs modulus of steel in N/sq.mm
Eg=1e5 //Youngs modulus of gun metal in N/sq.mm
alpha_s=12e-6 //Co-efficient of linear expansion of steel in per degree celsius
alpha_g=20e-6 //Co-efficient of linear expansion of gun metal in per degree celsius
//Calculation
Ag=(%pi/4)*Dg**2 //Area of gun metal in sq.mm
As=(%pi/4)*(De_s**2-Di_s**2) //Area of steel in sq.mm
T=T2-T1 //Fall in temperature in degree celsius
sigmag=(((alpha_g-alpha_s)*T)/(((Ag/As)/Es)+(1/Eg)))
sigmas=(sigmag*(Ag/As))
//Result
printf("\n Stress in gun metal rod = %0.3f N/mm^2",sigmag)
printf("\n Stress in steel = %0.3f N/mm^2",sigmas)
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