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clear
//variable declaration
L=(1000) //length of the bar at normal temperature,mm
As=(50*10) //Area of steel,mm^2
Ac=(40*5) //Area of copper,mm^2
//Ac = Free expansion of copper is greater than free expansion of steel . To bring them to the same position, tensile force Ps acts on steel plate and compressive force Pc acts on each copper plate.
alphas=(0.000012) //Expansion of coeffcient of steel,/°C
alphac=(0.000017 ) //Expansion of coeffcient of copper,/°C
t=80 //raise by temperature, °C
Es=2*100000 //Young's modulus of steel,N/mm^2
Ec=1*100000 //Young's modulus of copper,N/mm^2
Pc=((alphac-alphas)*t*L)/((2*L/(As*Es)) +(L/(Ac*Ec)))
Ps=2*Pc
pc=Pc/Ac //Stress in copper,N/mm^2
ps=Ps/As //Stress in steel, N/mm^2
Changeinlength=alphas*t*L+(Ps*L/(As*Es))
printf("\n Change in length= %0.2f mm",Changeinlength)
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