diff options
Diffstat (limited to '3772/CH3/EX3.15/Ex3_15.sce')
| -rw-r--r-- | 3772/CH3/EX3.15/Ex3_15.sce | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/3772/CH3/EX3.15/Ex3_15.sce b/3772/CH3/EX3.15/Ex3_15.sce new file mode 100644 index 000000000..89fb7ace7 --- /dev/null +++ b/3772/CH3/EX3.15/Ex3_15.sce @@ -0,0 +1,38 @@ +// Problem 3.15,Page no.63 + +clc;clear; +close; + +A_s=0.003848 //m**2 //Area of steel bar +A_al=0.003436 //m**2 //Area of Aluminium tube +E=220*10*9 //N //Young's modulus of steel +E=70*10*9 //N //Young's modulus of aluminium +P=600*10**3 //N //Load applied to the bar +//dell_L_al-dell_L_s=0.00015 //mm //difference between strain in aluminium bar and steel bar + +//Calculations + + +//Let the aluminium tube be compressed by dell_L_al and steel bar by by dellL_s +//dell_L_al=sigma_al*E_al**-1*L_al +//dell_L_s=sigma_s*E_s**-1*L_s + +//After substituting and simplifying above equation we get, +//((sigma_al*70**-1)-(sigma_s*220**-1))=300000 //(equation 1) + +//After simplifying above equation we get, +//sigma_al=17462.165*10**4-1.1199*sigma_s //(equation 2) + +//Now substituting sigma_al in equation(1) +//((17462.165*10**4-1.1199*sigma_s)*(70)**-1)-(sigma_s*220**-1)=300000 + +//After simplifying above equation we get, + +sigma_s=-((300000-249.4594*10**4)*0.0205444**-1)*10**-6 //MN/m**2 //stress developed in steel bar +//sigma_al=17462.165*10**4-1.1199*sigma_s +sigma_al=(17462.165*10**4-1.1199*106822005.02)*10**-6 + + +//Result +printf("stress developed in steel bar is %.2f MN/m^2",sigma_s) +printf("\n stress developed in aluminium bar is %.2f MN/M^2",sigma_al) |