diff options
Diffstat (limited to '3864/CH6/EX6.16/Ex6_16.sce')
-rw-r--r-- | 3864/CH6/EX6.16/Ex6_16.sce | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/3864/CH6/EX6.16/Ex6_16.sce b/3864/CH6/EX6.16/Ex6_16.sce new file mode 100644 index 000000000..76268c16b --- /dev/null +++ b/3864/CH6/EX6.16/Ex6_16.sce @@ -0,0 +1,52 @@ +clear +// +// + +//Initilization of Variables + +L=1000 //mm //Length of bar +L1=600 //mm //Length of Bar AB +L2=400 //mm //Length of Bar BC +d1=60 //mm //Outer Diameter of bar BC +d2=30 //mm //Inner Diameter of bar BC +d=60 //mm //Diameter of bar AB +T=2*10**6 //N-mm //Total Torque + +//Calculations + +//Polar Modulus of Portion AB +J1=%pi*32**-1*d**4 //mm*4 + +//Polar Modulus of Portion BC +J2=%pi*32**-1*(d1**4-d2**4) //mm**4 + +//Let T1 be the torque resisted by bar AB and T2 be torque resisted by Bar BC +//Let theta1 and theta2 be the rotation of shaft in portion AB & BC + +//theta1=T1*L1*(G*J1)**-1 //radians +//After substituting values and further simplifying we get +//theta1=32*600*T1*(%pi*60**4*G)**-1 + +//theta2=T2*L*(J2*G)**-1 //Radians +//After substituting values and further simplifying we get +//theta2=32*400*T2*(%pi*60**4*(1-0.5**4)*G)**-1 + +//Now For consistency of Deformation,theta1=theta2 +//After substituting values and further simplifying we get +//T1=0.7111*T2 ..................................................(1) + +//But T1+T2=T=2*10**6 ...........................................(2) +//Substituting value of T1 in above equation + +T2=T*(0.7111+1)**-1 +T1=0.71111*T2 + +//Max stress in Portion AB +q_s1=T1*(d*2**-1)*(J1)**-1 //N/mm**2 + +//Max stress in Portion BC +q_s2=T2*(d1*2**-1)*J2**-1 //N/mm**2 + +//Result +printf("\n Stresses Developed in Portion:AB %0.2f N/mm**2",q_s1) +printf("\n :BC %0.2f N/mm**2",q_s2) |