From 7bc77cb1ed33745c720952c92b3b2747c5cbf2df Mon Sep 17 00:00:00 2001 From: prashantsinalkar Date: Sat, 3 Feb 2018 11:01:52 +0530 Subject: Added new code --- 3864/CH6/EX6.17/Ex6_17.sce | 45 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 3864/CH6/EX6.17/Ex6_17.sce (limited to '3864/CH6/EX6.17/Ex6_17.sce') diff --git a/3864/CH6/EX6.17/Ex6_17.sce b/3864/CH6/EX6.17/Ex6_17.sce new file mode 100644 index 000000000..7012e6601 --- /dev/null +++ b/3864/CH6/EX6.17/Ex6_17.sce @@ -0,0 +1,45 @@ +clear +// +// + +//Initilization of Variables + +d1=80 //mm //External Diameter of Brass tube +d2=50 //mm //Internal Diameter of Brass tube +d=50 //mm //Diameter of steel Tube +G_b=40*10**3 //N/mm**2 //Modulus of Rigidity of brass tube +G_s=80*10**3 //N/mm**2 //Modulus of rigidity of steel tube +T=6*10**6 //N-mm //Torque +L=2000 //mm //Length of Tube + +//Calculations + +//Polar Modulus of brass tube +J1=%pi*32**-1*(d1**4-d2**4) //mm**4 + +//Polar modulus of steel Tube +J2=%pi*32**-1*d**4 //mm**4 + +//Let T_s & T_b be the torque resisted by steel and brass respectively +//Then, T_b+T_s=T ............................................(1) + +//Since the angle of twist will be the same +//Theta1=Theta2 +//After substituting values and further simplifying we get +//Ts=0.360*Tb ...........................................(2) + +//After substituting value of Ts in eqn 1 and further simplifying we get +T_b=T*(0.36+1)**-1 //N-mm +T_s=0.360*T_b + +//Let q_s and q_b be the max stress in steel and brass respectively +q_b=T_b*(d1*2**-1)*J1**-1 //N/mm**2 +q_s=T_s*(d2*2**-1)*J2**-1 //N/mm**2 + +//Since angle of twist in brass=angle of twist in steel +theta_s=T_s*L*(J2*G_s)**-1 + +//Result +printf("\n Stresses Developed in Materials are:Brass %0.2f N/mm**2",q_b) +printf("\n :Steel %0.2f N/mm**2",q_s) +printf("\n Angle of Twist in 2m Length %0.3f Radians",theta_s) -- cgit