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Diffstat (limited to '3864/CH2/EX2.25/Ex2_25.sce')
-rw-r--r-- | 3864/CH2/EX2.25/Ex2_25.sce | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/3864/CH2/EX2.25/Ex2_25.sce b/3864/CH2/EX2.25/Ex2_25.sce new file mode 100644 index 000000000..8b3b0923d --- /dev/null +++ b/3864/CH2/EX2.25/Ex2_25.sce @@ -0,0 +1,56 @@ +clear +// + +//Initilization of Variables + +P=200*10**3 //N //Load +A_a=1000 //mm**2 //Area of Aluminium +A_s=800 //mm**2 //Area of steel +E_a=1*10**5 //N/mm**2 //Modulus of Elasticity of Aluminium +E_s=2*10**5 //N/mm**2 //Modulus of ELasticity of steel +sigma_a1=65 //N/mm**2 //stress in aluminium +sigma_s1=150 //N/mm**2 //Stress in steel + +//Calculations + +//Let P_a and P_s be the force in aluminium and steel pillar respectively + +//Now,sum of forces in Vertical direction we get +//2*P_a+P_s=200 .........................................(1) + +//By compatibility Equation dell_l_s=dell_l_a we get +//P_s=1.28*P_a ..........................................(2) + +//Now substituting value of P_s in Equation 1 we get +P_a=200*3.28**-1 //KN +P_s=200-2*P_a //KN + +//Stress developed in aluminium +sigma_a=P_a*10**3*A_a**-1 //N/mm**2 + +//Stress developed in steel +sigma_s=P_s*10**3*A_s**-1 //N/mm**2 + +//Part-2 + +//Let sigma_a1 and sigma_s1 be the stresses in Aluminium and steel due to Additional LOad + +P_a1=sigma_a1*A_a //Load carrying capacity of aluminium +P_s1=1.28*P_a1 + +//Total Load carrying capacity +P1=2*P_a1+P_s1 //N + +P_s2=sigma_s1*A_s //Load carrying capacity of steel +P_a2=P_s2*1.28**-1 + +//Total Load carrying capacity +P2=2*P_a2+P_s2 + +//Additional Load +P3=P1-P + +//Result +printf("\n Stresses Developed in Each Pillar is:sigma_a %0.2f N/mm**2",sigma_a) +printf("\n :sigma_s %0.2f N/mm**2",sigma_s) +printf("\n Additional Load taken by pillars is %0.2f N",P3) |