diff options
Diffstat (limited to '3774/CH7/EX7.6/Ex7_6.sce')
-rw-r--r-- | 3774/CH7/EX7.6/Ex7_6.sce | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/3774/CH7/EX7.6/Ex7_6.sce b/3774/CH7/EX7.6/Ex7_6.sce new file mode 100644 index 000000000..915d8510a --- /dev/null +++ b/3774/CH7/EX7.6/Ex7_6.sce @@ -0,0 +1,87 @@ +// exa 7.6 Pg 205 +clc;clear;close; + +// Given Data +P=135;// kW +N=120;// rpm +tau_s=55;// MPa +tau_b=45;// MPa +tau_ci=175;// MPa +sigma_ci=75;// MPa + +//sigma_cs=2*tau_s;// MPa + +//Tmax=1.5*Tm +mu=0.15;// coefficient of friction + +//SHAFT DIAMETER +// P= 2*%pi*N*Tm/60/1000 +Tm=P/(2*%pi*N/60/1000);// N.m +// %pi*d**3*tau_s/16= Tm +d=(Tm/(%pi*tau_s/16)*1000)**(1/3);// mm +d=ceil(d) +printf('shaft diameter = %.2f mm.',d) +Tmax=Tm;// N.m + +// HUB DIAMETER +// Tmax=%pi/16*((d1**4-d**4)/d1)*tau_h +tau_h=tau_ci;// MPa +//d1*(Tmax/(%pi/16)/tau_h)-d1**4=d**4 -- eqn(1) +Tmax=Tmax*1000;// N.mm +p=[1 0 0 -Tmax/(%pi*tau_h/16) -d**4] ;// polynomial coefficients from eqn(1) +d1=roots(p);// roots of poly +d1=d1(1);// mm (taking +ve value) +d1=2*d;// mm (empirically adopted) +t1=(d1-d)/2;// mm (thickness of hub) +printf('\n thickness of hub = %.f mm',t1) +d4=d+t1;// mm (diameter of recess in flanges) +printf('\n diameter of recess in flanges = %.f mm',d4) +d3=4*d;// mm (outside diameter of protecting flange) +printf('\n outside diameter of protecting flange = %.f mm.',d3) + +//Key size & Hub length +b=d/4;// mm (width of key) +l=1.5*d;// mm (length of key) +printf('\n width of key = %.1f mm.',b) +printf('\n length of key = %.f mm.',l) +t=b;// mm (thickness for square key) +printf('\n thickness for square key = %.f mm',t) +printf('\n Hub length = %.f mm',l) + +//Number of bolts +n=ceil(4*d/150+3);// no. of bolts +printf('\n Number of bolts = %.2f.',n) + +// Bolt diameter +r2=1.5*d;// mm +F=Tm*1000/r2/n;//N +//(%pi/4)*db**2*tau_b=F +db=sqrt(F/((%pi/4)*tau_b));// mm +printf('\n Bolt diameter = %.2f mm. Use db=20 mm for design purpose',db) +db=20;// mm (adopted for design) +bolt_dia=db;//mm + +// Flange thickness +t2=0.5*t1+6;// mm (empirically) +printf('\n Flange thickness = %.1f mm. Use t=20 mm',t2) +//F=n*db*t2*sigma_c +sigma_ci=F/n/db/t2;// MPa +//2*%pi*d1**2*tau*t2/4=Tmax +tau=Tmax/(2*%pi*d1**2*t2/4);// MPa +printf('\n permissible bearing stress in flange = %.2f MPa < 75 MPa',sigma_ci) +printf('\n shearing of the flange at the junction with hub = %.2f MPa < 175 MPa.',tau) +printf(' Values are acceptable.') + +// Check for crushing of bolt +//n*db*t2*sigma_cb*d2/2=Tmax +d2=d1+d;// mm +db=bolt_dia;//mm +sigma_cb=Tmax/(n*db*t2*d2/2);// MPa +printf('\n permissible crushing strength of bolts = %.2f MPa < 60 MPa.',sigma_cb) +printf(' Hence design is safe.') +// Thickness of protecting flange +t3=0.5*t2;// mm +printf('\n Thickness of protecting flange = %.f mm', t3) +// Hub overlap +ho=3;// mm (min) +printf('\n Hub overlap = %.f mm (min)',ho) |