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Diffstat (limited to '3864/CH2/EX2.35/Ex2_35.sce')
-rw-r--r-- | 3864/CH2/EX2.35/Ex2_35.sce | 72 |
1 files changed, 72 insertions, 0 deletions
diff --git a/3864/CH2/EX2.35/Ex2_35.sce b/3864/CH2/EX2.35/Ex2_35.sce new file mode 100644 index 000000000..66abf1a79 --- /dev/null +++ b/3864/CH2/EX2.35/Ex2_35.sce @@ -0,0 +1,72 @@ +clear +// + +//Initilization of Variables + +A_c=500 //mm**2 //Area of each rod +A_s=500 +A=500 +P=2*10**5 //N //Weight +L=1 //m //Length of each rod +t=40 //degree celsius //temperature +E_s=2*10**5 //N/mm**2 //Modulus of Elasticity of steel rod +E_c=1*10**5 //N/mm**2 //modulus of Elastictiy of copper rod +alpha_s=1.2*10**-5 //Per degree Celsius //temp coeff of steel rod +alpha_c=1.8*10**-5 //Per degree Celsius //Temp coeff of copper rod + +//Calculations + +//Let P_s be the force in each one of the copper rods and P_s be the force in steel rod +//2*P_c+P_s=P .....................(1) + +//Extension of copper bar=Extension of steel bar +//P_s*L*(A_s*E_s)**-1=P_c*L*(A_c*E_c)**-1 +//after simplifying above equation we get +//P_s=2*P_c ........................(2) + +//Now substituting value of P_s in Equation 1 we get +P_c=P*4**-1 +P_s=2*P_c + +//Now EXtension due to copper Load +dell_1=P_c*L*1000*(A_c*E_c)**-1 + +//Part-2 + +//Due to rise of temperature of40 degree celsius + +//As bars are rigidly joined,let P_c1 be the compressive forccesdeveloped in copper bar and P_s1 be the tensile force in steel causing changes +//P_s1=2*P_c1 + +//dell_s+dell_c=(alpha_c-alpha_s)*t*L .......................................(3) +//P_s1*L*(A_s*E_s)**-1+P_c1*L*(A_c*E_c)**-1=(alpha_c-alpha_s)*t*L ................(4) +//After substituting values in above equation and further simplifying we get, +P_c1=(alpha_c-alpha_s)*t*L*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)**-1 //.................(5) +P_s1=2*P_c1 + +//Extension of bar due to temperature rise +dell_2=alpha_s*t*L+P_s1*L*(A_s*E_s)**-1 + +//Amount by which bar will descend +dell_3=dell_1+dell_2 + +//Load carried by steel bar +P_S=P_s+P_s1 + +//Load carried by copper bar +P_C=P_c-P_c1 + +//Part-3 + +//Let P_c1_1=P_c //For convenience +//Rise in temperature if Load is to be carried out by steel rod alone +P_c1_1=P_c + +//From equation 5 +t=P_c1_1*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)*(alpha_c-alpha_s)**-1 + +//result +printf("\n Extension Due top copper Load %0.2f mm",dell_1) +printf("\n Load carried by each rod:P_s %0.2f N",P_s) +printf("\n :P_c %0.2f N",P_c) +printf("\n Rise in Temperature of steel rod should be %0.2f degree Celsius",t) |