From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001 From: prashantsinalkar Date: Tue, 10 Oct 2017 12:27:19 +0530 Subject: initial commit / add all books --- 3594/CH15/EX15.9/Ex15_9.sce | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 3594/CH15/EX15.9/Ex15_9.sce (limited to '3594/CH15/EX15.9/Ex15_9.sce') diff --git a/3594/CH15/EX15.9/Ex15_9.sce b/3594/CH15/EX15.9/Ex15_9.sce new file mode 100644 index 000000000..84df93a92 --- /dev/null +++ b/3594/CH15/EX15.9/Ex15_9.sce @@ -0,0 +1,25 @@ +//To find the frequencies of the free torsional vibrations of the system +clc +//given +Ia=2.5//ton ft^2 +Ib=7.5//ton ft^2 +Ic=3//ton ft^2 +g=32.2//ft/s^2 +AB=9.5//ft +BC=25//ft +d=8.5//in +C=11.8*10^6//lb/in^2 +k=Ic/Ia//la/lc=k +lc1=(25.6+(25.6^2-4*114.1)^(1/2))/2//from 1 and 2 , reducing using quadratic formula +lc2=(25.6-(25.6^2-4*114.1)^(1/2))/2//from 1 and 2 , reducing using quadratic formula +la1=lc1*k +la2=lc2*k +J=%pi*d^4/32 +q=C*J/(lc1*12)//torsional stiffness +IC=Ic*2240*12^2/(g*12)//moment of inertia +nc=(1/(2*%pi))*(q/IC)^(1/2)//fundamental frequency of vibration +a1=nc*60 +a=floor(a1) +n=16*(lc1/lc2)^(1/2) +b=n*60 +printf("\nFundamental frequency of vibration = %.f per min\nTwo node frequency = %.f per min\n",a,b) -- cgit