From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 278/CH5/EX5.17/ex_5_17.sce | 32 ++++++++++++++++++++++++++++++++
 1 file changed, 32 insertions(+)
 create mode 100755 278/CH5/EX5.17/ex_5_17.sce

(limited to '278/CH5/EX5.17/ex_5_17.sce')

diff --git a/278/CH5/EX5.17/ex_5_17.sce b/278/CH5/EX5.17/ex_5_17.sce
new file mode 100755
index 000000000..6bff1f355
--- /dev/null
+++ b/278/CH5/EX5.17/ex_5_17.sce
@@ -0,0 +1,32 @@
+//find dia using two diffrnt theories
+clc
+//soltion
+//given
+fs=700//N/mm^2
+M=10*10^6//N-mm
+T=30*10^6//N-mm
+Fs=2//factor of safety
+E=210*10^3//N/mm^2
+m=4
+pi=3.14
+//let d be dia of shaft in mm
+//Z=(pi/32)*d^3//mm^3
+//f1=M/Z=101.8*10^6/d^3//N/mm^2
+//t=16*T/(pi*d^3)=152.8*10^6/d^3//N/mm^2
+//ft1=(f1/2)+(0.5*sqrt((f1^2)+(4*t^2)))
+//ft1=211.9*10^6/d^3//N/mm^2/max prin stress
+//ft2=(f1/2)-(0.5*sqrt((f1^2)+(4*t^2)))//min prin stress
+//ft2=-110.1*10^6/d^3//N/mm^2
+//acc to max shear stress theory
+//Tmax=(ft1-ft2)/2=161*10^6/d^3//max shear stress theory
+//Tmax=fs/(2*Fs)
+//161*10^6/d^3=700/(2*2)
+d=(161*10^6/175)^(1/3)//mm
+//acc to max strain energy theory
+//1/(2*E)*[ft1^2+ft2^2-(2*ft1*ft2/m)]=1/(2*E)*[fs/Fs]^2
+//ft1^2 + ft2^2- (2*ft1*ft2/m)=[fs/Fs]^2
+//[211.9*10^6/d2^3]^2 + [-110.1*10^6/d2^3]^2 + [2*211.9*10^6*110.1*10^6*0.25/d2^6]=[700/2]^2
+//68689*10^12/d2^6=122500
+d2=(68689*10^12/122500)^(1/6)//mm
+printf("the dia of shaft using max shear stress theory is,%f mm\n",d)
+printf("the dia of shaft using max strain energy theory is,%f mm",d2)
-- 
cgit