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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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+// exa 8.11 Pg 236
+clc;clear;close;
+
+// Given Data
+dv=100;//mm
+C=5.5;// spring index
+pi=1;// N/mm.sq.
+p=1.075;// N/mm.sq.
+del=6;// mm
+tau_max=400;// N/mm.sq.
+G=80;// kN/mm.sq.
+
+Fi=(%pi/4)*dv**2*pi;// N (initial tension in spring)
+printf('\n initial tension in spring = %.f N', Fi)
+F=(%pi/4)*dv**2*p;// N (maximum tension in spring)
+printf('\n maximum tension in spring = %.f N', F)
+k=(F-Fi)/del;// N/mm (stiffness of spring)
+printf('\n stiffness of spring = %.2f N/mm',k)
+//Tmax=F*Dm/2 where Dm=5.5*d
+Tmax_BY_d=F*5.5/2;// calculation
+//Tmax=(%pi/16)*d**3*tau_max
+d=sqrt(Tmax_BY_d/((%pi/16)*tau_max));// mm
+printf('\n diameter of spring = %.2f mm. Use 18 mm.',d)
+d=ceil(d);// mm (rounding)
+Dm=5.5*d;//mm
+printf('\n mean coil diameter = %.f mm',Dm)
+Do=Dm+d;//mm
+printf('\n outside coil diameter = %.f mm',Do)
+Di=Dm-d;// mm
+printf('\n initial coil diameter = %.f mm',Di)
+n=G*10**3*d*del/8/(F-Fi)/C**3;// no. of turns
+printf('\n no. of turns = %.f',n)
+nt=n+1;// total no. of turns
+printf('\n total no. of turns(for extension spring) = %.f',nt)
+gi=1;// mm (initial gap)
+lf=nt*d+(nt-1)*gi;// mm
+printf('\n free length of spring = %.f mm',lf)
+p=lf/(nt-1);//mm
+printf('\n pitch of coils = %.2f mm',p)