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Diffstat (limited to '3864/CH2/EX2.33/Ex2_33.sce')
-rw-r--r-- | 3864/CH2/EX2.33/Ex2_33.sce | 50 |
1 files changed, 50 insertions, 0 deletions
diff --git a/3864/CH2/EX2.33/Ex2_33.sce b/3864/CH2/EX2.33/Ex2_33.sce new file mode 100644 index 000000000..4baa8d7d1 --- /dev/null +++ b/3864/CH2/EX2.33/Ex2_33.sce @@ -0,0 +1,50 @@ +clear +// +// + +//Initilization of Variables + +D=25 //mm //Diameter of Brass +De=50 //mm //External Diameter of steel tube +Di=25 //mm //Internal Diameter of steel tube +L=1.5 //m //Length of both bars +t1=30 //degree celsius //Initial Temperature +t2=100 //degree celsius //final Temperature +E_s=2*10**5 //N/mm**2 //Modulus of ELasticity of steel bar +E_b=1*10**5 //N/mm**2 //Modulus of Elasticity of brass bar +alpha_s=11.6*10**-6 //Temperature Coeff of steel +alpha_b=18.7*10**-6 //Temperature coeff of brass bar +d=20 //mm //diameter of pins + +//Calculations + +t=t2-t1 //Temperature Difference +A_s=%pi*4**-1*(De**2-Di**2) //mm**2 //Area of steel +A_b=%pi*4**-1*D**2 //mm**2 //Area of brass + +//Let P_b be the tensile force in brass bar and P_s be the compressive force in steel bar +//But from Equilibrium of Forces +//P_b=P_s=P + +//Let dell=dell_s+dell_b +dell=(alpha_b-alpha_s)*t*L*1000 + +P=dell*(1*(A_s*E_s)**-1+1*(A_b*E_b)**-1)**-1*(L*1000)**-1 +P_b=P +P_s=P +//Stress in steel +sigma_s=P*A_s**-1 + +//Stress in Brass +sigma_b=P_b*A_b**-1 + +//Area of Pins +A_p=%pi*4**-1*d**2 + +//Since,the force is resisted by two cross section of pins +tou=P*(2*A_p)**-1 + +//Result +printf("\n Stress in steel bar is %0.2f N/mm**2",sigma_s) +printf("\n Stress in Brass bar is %0.2f N/mm**2",sigma_b) +printf("\n Shear Stresss induced in pins is %0.2f N/mm**2",tou) |