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clear
//
//Given
//Variable declaration
Di_s=140 //Internal diameter of steel tube in mm
De_s=160 //External diameter of steel tube in mm
Di_b=160 //Internal diameter of brass tube in mm
De_b=180 //External diameter of brass tube in mm
P=900e3 //Axial load in N
L=140 //Length of each tube in mm
Es=2e5 //Youngs modulus for steel in N/sq.mm
Eb=1e5 //Youngs modulus for brass in N/sq.mm
//Calculation
As=(%pi/4*(De_s**2-Di_s**2)) //Area of steel tube in sq.mm
Ab=(%pi/4*(De_b**2-Di_b**2)) //Area of brass tube in sq.mm
sigmab=(P/(2*As+Ab)) //Stress in steel in N/sq.mm
sigmas=2*sigmab //Stress in brass in N/sq.mm
Pb=int(sigmab*Ab)*1e-3 //Load carried by brass tube in kN
Ps=(P*1e-3)-(Pb) //Load carried by steel tube in kN
dL=(sigmab/Eb*(L)) //Decrease in length in mm
//Result
printf("\n Stress in brass = %0.3f N/mm^2",sigmab)
printf("\n Stress in steel = %0.3f N/mm^2",sigmas)
printf("\n Load carried by brass tube = %0.3f kN",Pb)
printf("\n Load carried by stress tube = %0.3f kN",Ps)
printf("\n Decrease in the length of the compound tube= %0.3f mm",dL)
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